Chapter
stringclasses 18
values | sentence_range
stringlengths 3
9
| Text
stringlengths 7
7.34k
|
|---|---|---|
9 | 1839-1842 | 11 7 PARTICLE NATURE OF LIGHT: THE PHOTON
Photoelectric effect thus gave evidence to the strange fact that light in
interaction with matter behaved as if it was made of quanta or packets of
energy, each of energy h n Is the light quantum of energy to be associated with a particle Einstein
arrived at the important result, that the light quantum can also be
associated with momentum (h n/c) |
9 | 1840-1843 | 7 PARTICLE NATURE OF LIGHT: THE PHOTON
Photoelectric effect thus gave evidence to the strange fact that light in
interaction with matter behaved as if it was made of quanta or packets of
energy, each of energy h n Is the light quantum of energy to be associated with a particle Einstein
arrived at the important result, that the light quantum can also be
associated with momentum (h n/c) A definite value of energy as well as
momentum is a strong sign that the light quantum can be associated
with a particle |
9 | 1841-1844 | Is the light quantum of energy to be associated with a particle Einstein
arrived at the important result, that the light quantum can also be
associated with momentum (h n/c) A definite value of energy as well as
momentum is a strong sign that the light quantum can be associated
with a particle This particle was later named photon |
9 | 1842-1845 | Einstein
arrived at the important result, that the light quantum can also be
associated with momentum (h n/c) A definite value of energy as well as
momentum is a strong sign that the light quantum can be associated
with a particle This particle was later named photon The particle-like
behaviour of light was further confirmed, in 1924, by the experiment of
A |
9 | 1843-1846 | A definite value of energy as well as
momentum is a strong sign that the light quantum can be associated
with a particle This particle was later named photon The particle-like
behaviour of light was further confirmed, in 1924, by the experiment of
A H |
9 | 1844-1847 | This particle was later named photon The particle-like
behaviour of light was further confirmed, in 1924, by the experiment of
A H Compton (1892-1962) on scattering of X-rays from electrons |
9 | 1845-1848 | The particle-like
behaviour of light was further confirmed, in 1924, by the experiment of
A H Compton (1892-1962) on scattering of X-rays from electrons In
1921, Einstein was awarded the Nobel Prize in Physics for his contribution
to theoretical physics and the photoelectric effect |
9 | 1846-1849 | H Compton (1892-1962) on scattering of X-rays from electrons In
1921, Einstein was awarded the Nobel Prize in Physics for his contribution
to theoretical physics and the photoelectric effect In 1923, Millikan was
awarded the Nobel Prize in physics for his work on the elementary
charge of electricity and on the photoelectric effect |
9 | 1847-1850 | Compton (1892-1962) on scattering of X-rays from electrons In
1921, Einstein was awarded the Nobel Prize in Physics for his contribution
to theoretical physics and the photoelectric effect In 1923, Millikan was
awarded the Nobel Prize in physics for his work on the elementary
charge of electricity and on the photoelectric effect We can summarise the photon picture of electromagnetic radiation
as follows:
(i)
In interaction of radiation with matter, radiation behaves as if it is
made up of particles called photons |
9 | 1848-1851 | In
1921, Einstein was awarded the Nobel Prize in Physics for his contribution
to theoretical physics and the photoelectric effect In 1923, Millikan was
awarded the Nobel Prize in physics for his work on the elementary
charge of electricity and on the photoelectric effect We can summarise the photon picture of electromagnetic radiation
as follows:
(i)
In interaction of radiation with matter, radiation behaves as if it is
made up of particles called photons (ii) Each photon has energy E (=hn) and momentum p (= h n/c), and
speed c, the speed of light |
9 | 1849-1852 | In 1923, Millikan was
awarded the Nobel Prize in physics for his work on the elementary
charge of electricity and on the photoelectric effect We can summarise the photon picture of electromagnetic radiation
as follows:
(i)
In interaction of radiation with matter, radiation behaves as if it is
made up of particles called photons (ii) Each photon has energy E (=hn) and momentum p (= h n/c), and
speed c, the speed of light (iii) All photons of light of a particular frequency n, or wavelength l, have
the same energy E (=hn = hc/l) and momentum p (= hn/c= h/l),
whatever the intensity of radiation may be |
9 | 1850-1853 | We can summarise the photon picture of electromagnetic radiation
as follows:
(i)
In interaction of radiation with matter, radiation behaves as if it is
made up of particles called photons (ii) Each photon has energy E (=hn) and momentum p (= h n/c), and
speed c, the speed of light (iii) All photons of light of a particular frequency n, or wavelength l, have
the same energy E (=hn = hc/l) and momentum p (= hn/c= h/l),
whatever the intensity of radiation may be By increasing the intensity
of light of given wavelength, there is only an increase in the number of
photons per second crossing a given area, with each photon having
the same energy |
9 | 1851-1854 | (ii) Each photon has energy E (=hn) and momentum p (= h n/c), and
speed c, the speed of light (iii) All photons of light of a particular frequency n, or wavelength l, have
the same energy E (=hn = hc/l) and momentum p (= hn/c= h/l),
whatever the intensity of radiation may be By increasing the intensity
of light of given wavelength, there is only an increase in the number of
photons per second crossing a given area, with each photon having
the same energy Thus, photon energy is independent of intensity of
radiation |
9 | 1852-1855 | (iii) All photons of light of a particular frequency n, or wavelength l, have
the same energy E (=hn = hc/l) and momentum p (= hn/c= h/l),
whatever the intensity of radiation may be By increasing the intensity
of light of given wavelength, there is only an increase in the number of
photons per second crossing a given area, with each photon having
the same energy Thus, photon energy is independent of intensity of
radiation (iv) Photons are electrically neutral and are not deflected by electric and
magnetic fields |
9 | 1853-1856 | By increasing the intensity
of light of given wavelength, there is only an increase in the number of
photons per second crossing a given area, with each photon having
the same energy Thus, photon energy is independent of intensity of
radiation (iv) Photons are electrically neutral and are not deflected by electric and
magnetic fields (v) In a photon-particle collision (such as photon-electron collision), the
total energy and total momentum are conserved |
9 | 1854-1857 | Thus, photon energy is independent of intensity of
radiation (iv) Photons are electrically neutral and are not deflected by electric and
magnetic fields (v) In a photon-particle collision (such as photon-electron collision), the
total energy and total momentum are conserved However, the number
of photons may not be conserved in a collision |
9 | 1855-1858 | (iv) Photons are electrically neutral and are not deflected by electric and
magnetic fields (v) In a photon-particle collision (such as photon-electron collision), the
total energy and total momentum are conserved However, the number
of photons may not be conserved in a collision The photon may be
absorbed or a new photon may be created |
9 | 1856-1859 | (v) In a photon-particle collision (such as photon-electron collision), the
total energy and total momentum are conserved However, the number
of photons may not be conserved in a collision The photon may be
absorbed or a new photon may be created Rationalised 2023-24
Physics
284
EXAMPLE 11 |
9 | 1857-1860 | However, the number
of photons may not be conserved in a collision The photon may be
absorbed or a new photon may be created Rationalised 2023-24
Physics
284
EXAMPLE 11 1
EXAMPLE 11 |
9 | 1858-1861 | The photon may be
absorbed or a new photon may be created Rationalised 2023-24
Physics
284
EXAMPLE 11 1
EXAMPLE 11 2
Example 11 |
9 | 1859-1862 | Rationalised 2023-24
Physics
284
EXAMPLE 11 1
EXAMPLE 11 2
Example 11 1 Monochromatic light of frequency 6 |
9 | 1860-1863 | 1
EXAMPLE 11 2
Example 11 1 Monochromatic light of frequency 6 0 ´1014 Hz is
produced by a laser |
9 | 1861-1864 | 2
Example 11 1 Monochromatic light of frequency 6 0 ´1014 Hz is
produced by a laser The power emitted is 2 |
9 | 1862-1865 | 1 Monochromatic light of frequency 6 0 ´1014 Hz is
produced by a laser The power emitted is 2 0 ´10–3 W |
9 | 1863-1866 | 0 ´1014 Hz is
produced by a laser The power emitted is 2 0 ´10–3 W (a) What is the
energy of a photon in the light beam |
9 | 1864-1867 | The power emitted is 2 0 ´10–3 W (a) What is the
energy of a photon in the light beam (b) How many photons per second,
on an average, are emitted by the source |
9 | 1865-1868 | 0 ´10–3 W (a) What is the
energy of a photon in the light beam (b) How many photons per second,
on an average, are emitted by the source Solution
(a) Each photon has an energy
E = h n = ( 6 |
9 | 1866-1869 | (a) What is the
energy of a photon in the light beam (b) How many photons per second,
on an average, are emitted by the source Solution
(a) Each photon has an energy
E = h n = ( 6 63 ´10–34 J s) (6 |
9 | 1867-1870 | (b) How many photons per second,
on an average, are emitted by the source Solution
(a) Each photon has an energy
E = h n = ( 6 63 ´10–34 J s) (6 0 ´1014 Hz)
= 3 |
9 | 1868-1871 | Solution
(a) Each photon has an energy
E = h n = ( 6 63 ´10–34 J s) (6 0 ´1014 Hz)
= 3 98 ´ 10–19 J
(b) If N is the number of photons emitted by the source per second,
the power P transmitted in the beam equals N times the energy
per photon E, so that P = N E |
9 | 1869-1872 | 63 ´10–34 J s) (6 0 ´1014 Hz)
= 3 98 ´ 10–19 J
(b) If N is the number of photons emitted by the source per second,
the power P transmitted in the beam equals N times the energy
per photon E, so that P = N E Then
N =
3
19
2 |
9 | 1870-1873 | 0 ´1014 Hz)
= 3 98 ´ 10–19 J
(b) If N is the number of photons emitted by the source per second,
the power P transmitted in the beam equals N times the energy
per photon E, so that P = N E Then
N =
3
19
2 0 10
W
3 |
9 | 1871-1874 | 98 ´ 10–19 J
(b) If N is the number of photons emitted by the source per second,
the power P transmitted in the beam equals N times the energy
per photon E, so that P = N E Then
N =
3
19
2 0 10
W
3 98 10
J
P
E
−
−
×
=
×
= 5 |
9 | 1872-1875 | Then
N =
3
19
2 0 10
W
3 98 10
J
P
E
−
−
×
=
×
= 5 0 ´1015 photons per second |
9 | 1873-1876 | 0 10
W
3 98 10
J
P
E
−
−
×
=
×
= 5 0 ´1015 photons per second Example 11 |
9 | 1874-1877 | 98 10
J
P
E
−
−
×
=
×
= 5 0 ´1015 photons per second Example 11 2 The work function of caesium is 2 |
9 | 1875-1878 | 0 ´1015 photons per second Example 11 2 The work function of caesium is 2 14 eV |
9 | 1876-1879 | Example 11 2 The work function of caesium is 2 14 eV Find (a) the
threshold frequency for caesium, and (b) the wavelength of the incident
light if the photocurrent is brought to zero by a stopping potential of
0 |
9 | 1877-1880 | 2 The work function of caesium is 2 14 eV Find (a) the
threshold frequency for caesium, and (b) the wavelength of the incident
light if the photocurrent is brought to zero by a stopping potential of
0 60 V |
9 | 1878-1881 | 14 eV Find (a) the
threshold frequency for caesium, and (b) the wavelength of the incident
light if the photocurrent is brought to zero by a stopping potential of
0 60 V Solution
(a) For the cut-off or threshold frequency, the energy h n0 of the incident
radiation must be equal to work function f0, so that
n0 =
0
34
2 |
9 | 1879-1882 | Find (a) the
threshold frequency for caesium, and (b) the wavelength of the incident
light if the photocurrent is brought to zero by a stopping potential of
0 60 V Solution
(a) For the cut-off or threshold frequency, the energy h n0 of the incident
radiation must be equal to work function f0, so that
n0 =
0
34
2 14eV
6 |
9 | 1880-1883 | 60 V Solution
(a) For the cut-off or threshold frequency, the energy h n0 of the incident
radiation must be equal to work function f0, so that
n0 =
0
34
2 14eV
6 63 10
J s
h
φ
−
=
×
19
14
34
2 |
9 | 1881-1884 | Solution
(a) For the cut-off or threshold frequency, the energy h n0 of the incident
radiation must be equal to work function f0, so that
n0 =
0
34
2 14eV
6 63 10
J s
h
φ
−
=
×
19
14
34
2 14
1 |
9 | 1882-1885 | 14eV
6 63 10
J s
h
φ
−
=
×
19
14
34
2 14
1 6
10
J
5 |
9 | 1883-1886 | 63 10
J s
h
φ
−
=
×
19
14
34
2 14
1 6
10
J
5 16
10
Hz
6 |
9 | 1884-1887 | 14
1 6
10
J
5 16
10
Hz
6 63
10
J s
−
−
×
×
=
=
×
×
Thus, for frequencies less than this threshold frequency, no
photoelectrons are ejected |
9 | 1885-1888 | 6
10
J
5 16
10
Hz
6 63
10
J s
−
−
×
×
=
=
×
×
Thus, for frequencies less than this threshold frequency, no
photoelectrons are ejected (b) Photocurrent reduces to zero, when maximum kinetic energy of
the emitted photoelectrons equals the potential energy e V0 by the
retarding potential V0 |
9 | 1886-1889 | 16
10
Hz
6 63
10
J s
−
−
×
×
=
=
×
×
Thus, for frequencies less than this threshold frequency, no
photoelectrons are ejected (b) Photocurrent reduces to zero, when maximum kinetic energy of
the emitted photoelectrons equals the potential energy e V0 by the
retarding potential V0 Einstein’s Photoelectric equation is
eV0 = hn – f 0 = hc
λ – f 0
or,
l = hc/(eV0 + f0)
34
8
(6 |
9 | 1887-1890 | 63
10
J s
−
−
×
×
=
=
×
×
Thus, for frequencies less than this threshold frequency, no
photoelectrons are ejected (b) Photocurrent reduces to zero, when maximum kinetic energy of
the emitted photoelectrons equals the potential energy e V0 by the
retarding potential V0 Einstein’s Photoelectric equation is
eV0 = hn – f 0 = hc
λ – f 0
or,
l = hc/(eV0 + f0)
34
8
(6 63
10
Js)
(3
10 m/s)
(0 |
9 | 1888-1891 | (b) Photocurrent reduces to zero, when maximum kinetic energy of
the emitted photoelectrons equals the potential energy e V0 by the
retarding potential V0 Einstein’s Photoelectric equation is
eV0 = hn – f 0 = hc
λ – f 0
or,
l = hc/(eV0 + f0)
34
8
(6 63
10
Js)
(3
10 m/s)
(0 60eV
2 |
9 | 1889-1892 | Einstein’s Photoelectric equation is
eV0 = hn – f 0 = hc
λ – f 0
or,
l = hc/(eV0 + f0)
34
8
(6 63
10
Js)
(3
10 m/s)
(0 60eV
2 14eV)
−
×
×
×
=
+
26
19 |
9 | 1890-1893 | 63
10
Js)
(3
10 m/s)
(0 60eV
2 14eV)
−
×
×
×
=
+
26
19 89
10
J m
(2 |
9 | 1891-1894 | 60eV
2 14eV)
−
×
×
×
=
+
26
19 89
10
J m
(2 74eV)
−
×
=
26
19
19 |
9 | 1892-1895 | 14eV)
−
×
×
×
=
+
26
19 89
10
J m
(2 74eV)
−
×
=
26
19
19 89
10
J m
454 nm
2 |
9 | 1893-1896 | 89
10
J m
(2 74eV)
−
×
=
26
19
19 89
10
J m
454 nm
2 74
1 |
9 | 1894-1897 | 74eV)
−
×
=
26
19
19 89
10
J m
454 nm
2 74
1 6
10
J
λ
−
−
×
=
=
×
×
11 |
9 | 1895-1898 | 89
10
J m
454 nm
2 74
1 6
10
J
λ
−
−
×
=
=
×
×
11 8 WAVE NATURE OF MATTER
The dual (wave-particle) nature of light (electromagnetic radiation, in
general) comes out clearly from what we have learnt in this and the
preceding chapters |
9 | 1896-1899 | 74
1 6
10
J
λ
−
−
×
=
=
×
×
11 8 WAVE NATURE OF MATTER
The dual (wave-particle) nature of light (electromagnetic radiation, in
general) comes out clearly from what we have learnt in this and the
preceding chapters The wave nature of light shows up in the phenomena
of interference, diffraction and polarisation |
9 | 1897-1900 | 6
10
J
λ
−
−
×
=
=
×
×
11 8 WAVE NATURE OF MATTER
The dual (wave-particle) nature of light (electromagnetic radiation, in
general) comes out clearly from what we have learnt in this and the
preceding chapters The wave nature of light shows up in the phenomena
of interference, diffraction and polarisation On the other hand, in
Rationalised 2023-24
285
Dual Nature of Radiation
and Matter
photoelectric effect and Compton effect which involve
energy and momentum transfer, radiation behaves as if it
is made up of a bunch of particles – the photons |
9 | 1898-1901 | 8 WAVE NATURE OF MATTER
The dual (wave-particle) nature of light (electromagnetic radiation, in
general) comes out clearly from what we have learnt in this and the
preceding chapters The wave nature of light shows up in the phenomena
of interference, diffraction and polarisation On the other hand, in
Rationalised 2023-24
285
Dual Nature of Radiation
and Matter
photoelectric effect and Compton effect which involve
energy and momentum transfer, radiation behaves as if it
is made up of a bunch of particles – the photons Whether
a particle or wave description is best suited for
understanding an experiment depends on the nature of
the experiment |
9 | 1899-1902 | The wave nature of light shows up in the phenomena
of interference, diffraction and polarisation On the other hand, in
Rationalised 2023-24
285
Dual Nature of Radiation
and Matter
photoelectric effect and Compton effect which involve
energy and momentum transfer, radiation behaves as if it
is made up of a bunch of particles – the photons Whether
a particle or wave description is best suited for
understanding an experiment depends on the nature of
the experiment For example, in the familiar phenomenon
of seeing an object by our eye, both descriptions are
important |
9 | 1900-1903 | On the other hand, in
Rationalised 2023-24
285
Dual Nature of Radiation
and Matter
photoelectric effect and Compton effect which involve
energy and momentum transfer, radiation behaves as if it
is made up of a bunch of particles – the photons Whether
a particle or wave description is best suited for
understanding an experiment depends on the nature of
the experiment For example, in the familiar phenomenon
of seeing an object by our eye, both descriptions are
important The gathering and focussing mechanism of
light by the eye-lens is well described in the wave picture |
9 | 1901-1904 | Whether
a particle or wave description is best suited for
understanding an experiment depends on the nature of
the experiment For example, in the familiar phenomenon
of seeing an object by our eye, both descriptions are
important The gathering and focussing mechanism of
light by the eye-lens is well described in the wave picture But its absorption by the rods and cones (of the retina)
requires the photon picture of light |
9 | 1902-1905 | For example, in the familiar phenomenon
of seeing an object by our eye, both descriptions are
important The gathering and focussing mechanism of
light by the eye-lens is well described in the wave picture But its absorption by the rods and cones (of the retina)
requires the photon picture of light A natural question arises: If radiation has a dual (wave-
particle) nature, might not the particles of nature (the
electrons, protons, etc |
9 | 1903-1906 | The gathering and focussing mechanism of
light by the eye-lens is well described in the wave picture But its absorption by the rods and cones (of the retina)
requires the photon picture of light A natural question arises: If radiation has a dual (wave-
particle) nature, might not the particles of nature (the
electrons, protons, etc ) also exhibit wave-like character |
9 | 1904-1907 | But its absorption by the rods and cones (of the retina)
requires the photon picture of light A natural question arises: If radiation has a dual (wave-
particle) nature, might not the particles of nature (the
electrons, protons, etc ) also exhibit wave-like character In 1924, the French physicist Louis Victor de Broglie
(pronounced as de Broy) (1892-1987) put forward the
bold hypothesis that moving particles of matter should
display wave-like properties under suitable conditions |
9 | 1905-1908 | A natural question arises: If radiation has a dual (wave-
particle) nature, might not the particles of nature (the
electrons, protons, etc ) also exhibit wave-like character In 1924, the French physicist Louis Victor de Broglie
(pronounced as de Broy) (1892-1987) put forward the
bold hypothesis that moving particles of matter should
display wave-like properties under suitable conditions He reasoned that nature was symmetrical and that the
two basic physical entities – matter and energy, must have
symmetrical character |
9 | 1906-1909 | ) also exhibit wave-like character In 1924, the French physicist Louis Victor de Broglie
(pronounced as de Broy) (1892-1987) put forward the
bold hypothesis that moving particles of matter should
display wave-like properties under suitable conditions He reasoned that nature was symmetrical and that the
two basic physical entities – matter and energy, must have
symmetrical character If radiation shows dual aspects,
so should matter |
9 | 1907-1910 | In 1924, the French physicist Louis Victor de Broglie
(pronounced as de Broy) (1892-1987) put forward the
bold hypothesis that moving particles of matter should
display wave-like properties under suitable conditions He reasoned that nature was symmetrical and that the
two basic physical entities – matter and energy, must have
symmetrical character If radiation shows dual aspects,
so should matter De Broglie proposed that the wave
length l associated with a particle of momentum p is
given as
l = h
h
p
=m v
(11 |
9 | 1908-1911 | He reasoned that nature was symmetrical and that the
two basic physical entities – matter and energy, must have
symmetrical character If radiation shows dual aspects,
so should matter De Broglie proposed that the wave
length l associated with a particle of momentum p is
given as
l = h
h
p
=m v
(11 5)
where m is the mass of the particle and v its speed |
9 | 1909-1912 | If radiation shows dual aspects,
so should matter De Broglie proposed that the wave
length l associated with a particle of momentum p is
given as
l = h
h
p
=m v
(11 5)
where m is the mass of the particle and v its speed Equation (11 |
9 | 1910-1913 | De Broglie proposed that the wave
length l associated with a particle of momentum p is
given as
l = h
h
p
=m v
(11 5)
where m is the mass of the particle and v its speed Equation (11 5) is known as the de Broglie relation and
the wavelength l of the matter wave is called de Broglie wavelength |
9 | 1911-1914 | 5)
where m is the mass of the particle and v its speed Equation (11 5) is known as the de Broglie relation and
the wavelength l of the matter wave is called de Broglie wavelength The
dual aspect of matter is evident in the de Broglie relation |
9 | 1912-1915 | Equation (11 5) is known as the de Broglie relation and
the wavelength l of the matter wave is called de Broglie wavelength The
dual aspect of matter is evident in the de Broglie relation On the left hand
side of Eq |
9 | 1913-1916 | 5) is known as the de Broglie relation and
the wavelength l of the matter wave is called de Broglie wavelength The
dual aspect of matter is evident in the de Broglie relation On the left hand
side of Eq (11 |
9 | 1914-1917 | The
dual aspect of matter is evident in the de Broglie relation On the left hand
side of Eq (11 5), l is the attribute of a wave while on the right hand side
the momentum p is a typical attribute of a particle |
9 | 1915-1918 | On the left hand
side of Eq (11 5), l is the attribute of a wave while on the right hand side
the momentum p is a typical attribute of a particle Planck’s constant h
relates the two attributes |
9 | 1916-1919 | (11 5), l is the attribute of a wave while on the right hand side
the momentum p is a typical attribute of a particle Planck’s constant h
relates the two attributes Equation (11 |
9 | 1917-1920 | 5), l is the attribute of a wave while on the right hand side
the momentum p is a typical attribute of a particle Planck’s constant h
relates the two attributes Equation (11 5) for a material particle is basically a hypothesis whose
validity can be tested only by experiment |
9 | 1918-1921 | Planck’s constant h
relates the two attributes Equation (11 5) for a material particle is basically a hypothesis whose
validity can be tested only by experiment However, it is interesting to see
that it is satisfied also by a photon |
9 | 1919-1922 | Equation (11 5) for a material particle is basically a hypothesis whose
validity can be tested only by experiment However, it is interesting to see
that it is satisfied also by a photon For a photon, as we have seen,
p = hn /c
(11 |
9 | 1920-1923 | 5) for a material particle is basically a hypothesis whose
validity can be tested only by experiment However, it is interesting to see
that it is satisfied also by a photon For a photon, as we have seen,
p = hn /c
(11 6)
Therefore,
h
c
p
λ
=ν
=
(11 |
9 | 1921-1924 | However, it is interesting to see
that it is satisfied also by a photon For a photon, as we have seen,
p = hn /c
(11 6)
Therefore,
h
c
p
λ
=ν
=
(11 7)
That is, the de Broglie wavelength of a photon given by Eq |
9 | 1922-1925 | For a photon, as we have seen,
p = hn /c
(11 6)
Therefore,
h
c
p
λ
=ν
=
(11 7)
That is, the de Broglie wavelength of a photon given by Eq (11 |
9 | 1923-1926 | 6)
Therefore,
h
c
p
λ
=ν
=
(11 7)
That is, the de Broglie wavelength of a photon given by Eq (11 5) equals
the wavelength of electromagnetic radiation of which the photon is a
quantum of energy and momentum |
9 | 1924-1927 | 7)
That is, the de Broglie wavelength of a photon given by Eq (11 5) equals
the wavelength of electromagnetic radiation of which the photon is a
quantum of energy and momentum Clearly, from Eq |
9 | 1925-1928 | (11 5) equals
the wavelength of electromagnetic radiation of which the photon is a
quantum of energy and momentum Clearly, from Eq (11 |
9 | 1926-1929 | 5) equals
the wavelength of electromagnetic radiation of which the photon is a
quantum of energy and momentum Clearly, from Eq (11 5 ), l is smaller for a heavier particle (large m) or
more energetic particle (large v) |
9 | 1927-1930 | Clearly, from Eq (11 5 ), l is smaller for a heavier particle (large m) or
more energetic particle (large v) For example, the de Broglie wavelength
of a ball of mass 0 |
9 | 1928-1931 | (11 5 ), l is smaller for a heavier particle (large m) or
more energetic particle (large v) For example, the de Broglie wavelength
of a ball of mass 0 12 kg moving with a speed of 20 m s–1 is easily
calculated:
LOUIS VICTOR DE BROGLIE (1892 – 1987)
Louis Victor de Broglie
(1892 – 1987) French
physicist who put forth
revolutionary idea of wave
nature of matter |
9 | 1929-1932 | 5 ), l is smaller for a heavier particle (large m) or
more energetic particle (large v) For example, the de Broglie wavelength
of a ball of mass 0 12 kg moving with a speed of 20 m s–1 is easily
calculated:
LOUIS VICTOR DE BROGLIE (1892 – 1987)
Louis Victor de Broglie
(1892 – 1987) French
physicist who put forth
revolutionary idea of wave
nature of matter This idea
was developed by Erwin
Schródinger into a full-
fledged theory of quantum
mechanics
commonly
known as wave mechanics |
9 | 1930-1933 | For example, the de Broglie wavelength
of a ball of mass 0 12 kg moving with a speed of 20 m s–1 is easily
calculated:
LOUIS VICTOR DE BROGLIE (1892 – 1987)
Louis Victor de Broglie
(1892 – 1987) French
physicist who put forth
revolutionary idea of wave
nature of matter This idea
was developed by Erwin
Schródinger into a full-
fledged theory of quantum
mechanics
commonly
known as wave mechanics In 1929, he was awarded the
Nobel Prize in Physics for his
discovery of the wave nature
of electrons |
9 | 1931-1934 | 12 kg moving with a speed of 20 m s–1 is easily
calculated:
LOUIS VICTOR DE BROGLIE (1892 – 1987)
Louis Victor de Broglie
(1892 – 1987) French
physicist who put forth
revolutionary idea of wave
nature of matter This idea
was developed by Erwin
Schródinger into a full-
fledged theory of quantum
mechanics
commonly
known as wave mechanics In 1929, he was awarded the
Nobel Prize in Physics for his
discovery of the wave nature
of electrons Rationalised 2023-24
Physics
286
EXAMPLE 11 |
9 | 1932-1935 | This idea
was developed by Erwin
Schródinger into a full-
fledged theory of quantum
mechanics
commonly
known as wave mechanics In 1929, he was awarded the
Nobel Prize in Physics for his
discovery of the wave nature
of electrons Rationalised 2023-24
Physics
286
EXAMPLE 11 3
p = m v = 0 |
9 | 1933-1936 | In 1929, he was awarded the
Nobel Prize in Physics for his
discovery of the wave nature
of electrons Rationalised 2023-24
Physics
286
EXAMPLE 11 3
p = m v = 0 12 kg × 20 m s–1 = 2 |
9 | 1934-1937 | Rationalised 2023-24
Physics
286
EXAMPLE 11 3
p = m v = 0 12 kg × 20 m s–1 = 2 40 kg m s–1
l = h
p =
34
1
6 |
9 | 1935-1938 | 3
p = m v = 0 12 kg × 20 m s–1 = 2 40 kg m s–1
l = h
p =
34
1
6 63
10
J s
2 |
9 | 1936-1939 | 12 kg × 20 m s–1 = 2 40 kg m s–1
l = h
p =
34
1
6 63
10
J s
2 40 kg m s
−
−
×
= 2 |
9 | 1937-1940 | 40 kg m s–1
l = h
p =
34
1
6 63
10
J s
2 40 kg m s
−
−
×
= 2 76 × 10–34 m
This wavelength is so small that it is beyond any measurement |
9 | 1938-1941 | 63
10
J s
2 40 kg m s
−
−
×
= 2 76 × 10–34 m
This wavelength is so small that it is beyond any measurement This
is the reason why macroscopic objects in our daily life do not show wave-
like properties |
Subsets and Splits
No saved queries yet
Save your SQL queries to embed, download, and access them later. Queries will appear here once saved.