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9 | 839-842 | o
e
f
m
f
=αβ
=
where f0 and fe are the focal lengths of the objective and eyepiece,
respectively Rationalised 2023-24
Ray Optics and
Optical Instruments
249
EXERCISES
9 1
A small candle, 2 5 cm in size is placed at 27 cm in front of a concave
mirror of radius of curvature 36 cm |
9 | 840-843 | Rationalised 2023-24
Ray Optics and
Optical Instruments
249
EXERCISES
9 1
A small candle, 2 5 cm in size is placed at 27 cm in front of a concave
mirror of radius of curvature 36 cm At what distance from the mirror
should a screen be placed in order to obtain a sharp image |
9 | 841-844 | 1
A small candle, 2 5 cm in size is placed at 27 cm in front of a concave
mirror of radius of curvature 36 cm At what distance from the mirror
should a screen be placed in order to obtain a sharp image Describe
the nature and size of the image |
9 | 842-845 | 5 cm in size is placed at 27 cm in front of a concave
mirror of radius of curvature 36 cm At what distance from the mirror
should a screen be placed in order to obtain a sharp image Describe
the nature and size of the image If the candle is moved closer to the
mirror, how would the screen have to be moved |
9 | 843-846 | At what distance from the mirror
should a screen be placed in order to obtain a sharp image Describe
the nature and size of the image If the candle is moved closer to the
mirror, how would the screen have to be moved 9 |
9 | 844-847 | Describe
the nature and size of the image If the candle is moved closer to the
mirror, how would the screen have to be moved 9 2
A 4 |
9 | 845-848 | If the candle is moved closer to the
mirror, how would the screen have to be moved 9 2
A 4 5 cm needle is placed 12 cm away from a convex mirror of focal
length 15 cm |
9 | 846-849 | 9 2
A 4 5 cm needle is placed 12 cm away from a convex mirror of focal
length 15 cm Give the location of the image and the magnification |
9 | 847-850 | 2
A 4 5 cm needle is placed 12 cm away from a convex mirror of focal
length 15 cm Give the location of the image and the magnification Describe what happens as the needle is moved farther from the mirror |
9 | 848-851 | 5 cm needle is placed 12 cm away from a convex mirror of focal
length 15 cm Give the location of the image and the magnification Describe what happens as the needle is moved farther from the mirror 9 |
9 | 849-852 | Give the location of the image and the magnification Describe what happens as the needle is moved farther from the mirror 9 3
A tank is filled with water to a height of 12 |
9 | 850-853 | Describe what happens as the needle is moved farther from the mirror 9 3
A tank is filled with water to a height of 12 5 cm |
9 | 851-854 | 9 3
A tank is filled with water to a height of 12 5 cm The apparent
depth of a needle lying at the bottom of the tank is measured by a
microscope to be 9 |
9 | 852-855 | 3
A tank is filled with water to a height of 12 5 cm The apparent
depth of a needle lying at the bottom of the tank is measured by a
microscope to be 9 4 cm |
9 | 853-856 | 5 cm The apparent
depth of a needle lying at the bottom of the tank is measured by a
microscope to be 9 4 cm What is the refractive index of water |
9 | 854-857 | The apparent
depth of a needle lying at the bottom of the tank is measured by a
microscope to be 9 4 cm What is the refractive index of water If
water is replaced by a liquid of refractive index 1 |
9 | 855-858 | 4 cm What is the refractive index of water If
water is replaced by a liquid of refractive index 1 63 up to the same
height, by what distance would the microscope have to be moved to
focus on the needle again |
9 | 856-859 | What is the refractive index of water If
water is replaced by a liquid of refractive index 1 63 up to the same
height, by what distance would the microscope have to be moved to
focus on the needle again 9 |
9 | 857-860 | If
water is replaced by a liquid of refractive index 1 63 up to the same
height, by what distance would the microscope have to be moved to
focus on the needle again 9 4
Figures 9 |
9 | 858-861 | 63 up to the same
height, by what distance would the microscope have to be moved to
focus on the needle again 9 4
Figures 9 27(a) and (b) show refraction of a ray in air incident at 60°
with the normal to a glass-air and water-air interface, respectively |
9 | 859-862 | 9 4
Figures 9 27(a) and (b) show refraction of a ray in air incident at 60°
with the normal to a glass-air and water-air interface, respectively Predict the angle of refraction in glass when the angle of incidence
in water is 45° with the normal to a water-glass interface [Fig |
9 | 860-863 | 4
Figures 9 27(a) and (b) show refraction of a ray in air incident at 60°
with the normal to a glass-air and water-air interface, respectively Predict the angle of refraction in glass when the angle of incidence
in water is 45° with the normal to a water-glass interface [Fig 9 |
9 | 861-864 | 27(a) and (b) show refraction of a ray in air incident at 60°
with the normal to a glass-air and water-air interface, respectively Predict the angle of refraction in glass when the angle of incidence
in water is 45° with the normal to a water-glass interface [Fig 9 27(c)] |
9 | 862-865 | Predict the angle of refraction in glass when the angle of incidence
in water is 45° with the normal to a water-glass interface [Fig 9 27(c)] FIGURE 9 |
9 | 863-866 | 9 27(c)] FIGURE 9 27
9 |
9 | 864-867 | 27(c)] FIGURE 9 27
9 5
A small bulb is placed at the bottom of a tank containing water to a
depth of 80cm |
9 | 865-868 | FIGURE 9 27
9 5
A small bulb is placed at the bottom of a tank containing water to a
depth of 80cm What is the area of the surface of water through
which light from the bulb can emerge out |
9 | 866-869 | 27
9 5
A small bulb is placed at the bottom of a tank containing water to a
depth of 80cm What is the area of the surface of water through
which light from the bulb can emerge out Refractive index of water
is 1 |
9 | 867-870 | 5
A small bulb is placed at the bottom of a tank containing water to a
depth of 80cm What is the area of the surface of water through
which light from the bulb can emerge out Refractive index of water
is 1 33 |
9 | 868-871 | What is the area of the surface of water through
which light from the bulb can emerge out Refractive index of water
is 1 33 (Consider the bulb to be a point source |
9 | 869-872 | Refractive index of water
is 1 33 (Consider the bulb to be a point source )
9 |
9 | 870-873 | 33 (Consider the bulb to be a point source )
9 6
A prism is made of glass of unknown refractive index |
9 | 871-874 | (Consider the bulb to be a point source )
9 6
A prism is made of glass of unknown refractive index A parallel
beam of light is incident on a face of the prism |
9 | 872-875 | )
9 6
A prism is made of glass of unknown refractive index A parallel
beam of light is incident on a face of the prism The angle of minimum
deviation is measured to be 40° |
9 | 873-876 | 6
A prism is made of glass of unknown refractive index A parallel
beam of light is incident on a face of the prism The angle of minimum
deviation is measured to be 40° What is the refractive index of the
material of the prism |
9 | 874-877 | A parallel
beam of light is incident on a face of the prism The angle of minimum
deviation is measured to be 40° What is the refractive index of the
material of the prism The refracting angle of the prism is 60° |
9 | 875-878 | The angle of minimum
deviation is measured to be 40° What is the refractive index of the
material of the prism The refracting angle of the prism is 60° If the
prism is placed in water (refractive index 1 |
9 | 876-879 | What is the refractive index of the
material of the prism The refracting angle of the prism is 60° If the
prism is placed in water (refractive index 1 33), predict the new
angle of minimum deviation of a parallel beam of light |
9 | 877-880 | The refracting angle of the prism is 60° If the
prism is placed in water (refractive index 1 33), predict the new
angle of minimum deviation of a parallel beam of light 9 |
9 | 878-881 | If the
prism is placed in water (refractive index 1 33), predict the new
angle of minimum deviation of a parallel beam of light 9 7
Double-convex lenses are to be manufactured from a glass of
refractive index 1 |
9 | 879-882 | 33), predict the new
angle of minimum deviation of a parallel beam of light 9 7
Double-convex lenses are to be manufactured from a glass of
refractive index 1 55, with both faces of the same radius of
curvature |
9 | 880-883 | 9 7
Double-convex lenses are to be manufactured from a glass of
refractive index 1 55, with both faces of the same radius of
curvature What is the radius of curvature required if the focal length
is to be 20cm |
9 | 881-884 | 7
Double-convex lenses are to be manufactured from a glass of
refractive index 1 55, with both faces of the same radius of
curvature What is the radius of curvature required if the focal length
is to be 20cm 9 |
9 | 882-885 | 55, with both faces of the same radius of
curvature What is the radius of curvature required if the focal length
is to be 20cm 9 8
A beam of light converges at a point P |
9 | 883-886 | What is the radius of curvature required if the focal length
is to be 20cm 9 8
A beam of light converges at a point P Now a lens is placed in the
path of the convergent beam 12cm from P |
9 | 884-887 | 9 8
A beam of light converges at a point P Now a lens is placed in the
path of the convergent beam 12cm from P At what point does the
beam converge if the lens is (a) a convex lens of focal length 20cm,
and (b) a concave lens of focal length 16cm |
9 | 885-888 | 8
A beam of light converges at a point P Now a lens is placed in the
path of the convergent beam 12cm from P At what point does the
beam converge if the lens is (a) a convex lens of focal length 20cm,
and (b) a concave lens of focal length 16cm 9 |
9 | 886-889 | Now a lens is placed in the
path of the convergent beam 12cm from P At what point does the
beam converge if the lens is (a) a convex lens of focal length 20cm,
and (b) a concave lens of focal length 16cm 9 9
An object of size 3 |
9 | 887-890 | At what point does the
beam converge if the lens is (a) a convex lens of focal length 20cm,
and (b) a concave lens of focal length 16cm 9 9
An object of size 3 0cm is placed 14cm in front of a concave lens of
focal length 21cm |
9 | 888-891 | 9 9
An object of size 3 0cm is placed 14cm in front of a concave lens of
focal length 21cm Describe the image produced by the lens |
9 | 889-892 | 9
An object of size 3 0cm is placed 14cm in front of a concave lens of
focal length 21cm Describe the image produced by the lens What
happens if the object is moved further away from the lens |
9 | 890-893 | 0cm is placed 14cm in front of a concave lens of
focal length 21cm Describe the image produced by the lens What
happens if the object is moved further away from the lens Rationalised 2023-24
Physics
250
9 |
9 | 891-894 | Describe the image produced by the lens What
happens if the object is moved further away from the lens Rationalised 2023-24
Physics
250
9 10
What is the focal length of a convex lens of focal length 30cm in
contact with a concave lens of focal length 20cm |
9 | 892-895 | What
happens if the object is moved further away from the lens Rationalised 2023-24
Physics
250
9 10
What is the focal length of a convex lens of focal length 30cm in
contact with a concave lens of focal length 20cm Is the system a
converging or a diverging lens |
9 | 893-896 | Rationalised 2023-24
Physics
250
9 10
What is the focal length of a convex lens of focal length 30cm in
contact with a concave lens of focal length 20cm Is the system a
converging or a diverging lens Ignore thickness of the lenses |
9 | 894-897 | 10
What is the focal length of a convex lens of focal length 30cm in
contact with a concave lens of focal length 20cm Is the system a
converging or a diverging lens Ignore thickness of the lenses 9 |
9 | 895-898 | Is the system a
converging or a diverging lens Ignore thickness of the lenses 9 11
A compound microscope consists of an objective lens of focal length
2 |
9 | 896-899 | Ignore thickness of the lenses 9 11
A compound microscope consists of an objective lens of focal length
2 0 cm and an eyepiece of focal length 6 |
9 | 897-900 | 9 11
A compound microscope consists of an objective lens of focal length
2 0 cm and an eyepiece of focal length 6 25 cm separated by a
distance of 15cm |
9 | 898-901 | 11
A compound microscope consists of an objective lens of focal length
2 0 cm and an eyepiece of focal length 6 25 cm separated by a
distance of 15cm How far from the objective should an object be
placed in order to obtain the final image at (a) the least distance of
distinct vision (25cm), and (b) at infinity |
9 | 899-902 | 0 cm and an eyepiece of focal length 6 25 cm separated by a
distance of 15cm How far from the objective should an object be
placed in order to obtain the final image at (a) the least distance of
distinct vision (25cm), and (b) at infinity What is the magnifying
power of the microscope in each case |
9 | 900-903 | 25 cm separated by a
distance of 15cm How far from the objective should an object be
placed in order to obtain the final image at (a) the least distance of
distinct vision (25cm), and (b) at infinity What is the magnifying
power of the microscope in each case 9 |
9 | 901-904 | How far from the objective should an object be
placed in order to obtain the final image at (a) the least distance of
distinct vision (25cm), and (b) at infinity What is the magnifying
power of the microscope in each case 9 12
A person with a normal near point (25 cm) using a compound
microscope with objective of focal length 8 |
9 | 902-905 | What is the magnifying
power of the microscope in each case 9 12
A person with a normal near point (25 cm) using a compound
microscope with objective of focal length 8 0 mm and an eyepiece of
focal length 2 |
9 | 903-906 | 9 12
A person with a normal near point (25 cm) using a compound
microscope with objective of focal length 8 0 mm and an eyepiece of
focal length 2 5cm can bring an object placed at 9 |
9 | 904-907 | 12
A person with a normal near point (25 cm) using a compound
microscope with objective of focal length 8 0 mm and an eyepiece of
focal length 2 5cm can bring an object placed at 9 0mm from the
objective in sharp focus |
9 | 905-908 | 0 mm and an eyepiece of
focal length 2 5cm can bring an object placed at 9 0mm from the
objective in sharp focus What is the separation between the two
lenses |
9 | 906-909 | 5cm can bring an object placed at 9 0mm from the
objective in sharp focus What is the separation between the two
lenses Calculate the magnifying power of the microscope,
9 |
9 | 907-910 | 0mm from the
objective in sharp focus What is the separation between the two
lenses Calculate the magnifying power of the microscope,
9 13
A small telescope has an objective lens of focal length 144cm and
an eyepiece of focal length 6 |
9 | 908-911 | What is the separation between the two
lenses Calculate the magnifying power of the microscope,
9 13
A small telescope has an objective lens of focal length 144cm and
an eyepiece of focal length 6 0cm |
9 | 909-912 | Calculate the magnifying power of the microscope,
9 13
A small telescope has an objective lens of focal length 144cm and
an eyepiece of focal length 6 0cm What is the magnifying power of
the telescope |
9 | 910-913 | 13
A small telescope has an objective lens of focal length 144cm and
an eyepiece of focal length 6 0cm What is the magnifying power of
the telescope What is the separation between the objective and
the eyepiece |
9 | 911-914 | 0cm What is the magnifying power of
the telescope What is the separation between the objective and
the eyepiece 9 |
9 | 912-915 | What is the magnifying power of
the telescope What is the separation between the objective and
the eyepiece 9 14
(a) A giant refracting telescope at an observatory has an objective
lens of focal length 15m |
9 | 913-916 | What is the separation between the objective and
the eyepiece 9 14
(a) A giant refracting telescope at an observatory has an objective
lens of focal length 15m If an eyepiece of focal length 1 |
9 | 914-917 | 9 14
(a) A giant refracting telescope at an observatory has an objective
lens of focal length 15m If an eyepiece of focal length 1 0cm is
used, what is the angular magnification of the telescope |
9 | 915-918 | 14
(a) A giant refracting telescope at an observatory has an objective
lens of focal length 15m If an eyepiece of focal length 1 0cm is
used, what is the angular magnification of the telescope (b) If this telescope is used to view the moon, what is the diameter
of the image of the moon formed by the objective lens |
9 | 916-919 | If an eyepiece of focal length 1 0cm is
used, what is the angular magnification of the telescope (b) If this telescope is used to view the moon, what is the diameter
of the image of the moon formed by the objective lens The
diameter of the moon is 3 |
9 | 917-920 | 0cm is
used, what is the angular magnification of the telescope (b) If this telescope is used to view the moon, what is the diameter
of the image of the moon formed by the objective lens The
diameter of the moon is 3 48 × 106m, and the radius of lunar
orbit is 3 |
9 | 918-921 | (b) If this telescope is used to view the moon, what is the diameter
of the image of the moon formed by the objective lens The
diameter of the moon is 3 48 × 106m, and the radius of lunar
orbit is 3 8 × 108m |
9 | 919-922 | The
diameter of the moon is 3 48 × 106m, and the radius of lunar
orbit is 3 8 × 108m 9 |
9 | 920-923 | 48 × 106m, and the radius of lunar
orbit is 3 8 × 108m 9 15
Use the mirror equation to deduce that:
(a) an object placed between f and 2f of a concave mirror produces
a real image beyond 2f |
9 | 921-924 | 8 × 108m 9 15
Use the mirror equation to deduce that:
(a) an object placed between f and 2f of a concave mirror produces
a real image beyond 2f (b) a convex mirror always produces a virtual image independent
of the location of the object |
9 | 922-925 | 9 15
Use the mirror equation to deduce that:
(a) an object placed between f and 2f of a concave mirror produces
a real image beyond 2f (b) a convex mirror always produces a virtual image independent
of the location of the object (c) the virtual image produced by a convex mirror is always
diminished in size and is located between the focus and
the pole |
9 | 923-926 | 15
Use the mirror equation to deduce that:
(a) an object placed between f and 2f of a concave mirror produces
a real image beyond 2f (b) a convex mirror always produces a virtual image independent
of the location of the object (c) the virtual image produced by a convex mirror is always
diminished in size and is located between the focus and
the pole (d) an object placed between the pole and focus of a concave mirror
produces a virtual and enlarged image |
9 | 924-927 | (b) a convex mirror always produces a virtual image independent
of the location of the object (c) the virtual image produced by a convex mirror is always
diminished in size and is located between the focus and
the pole (d) an object placed between the pole and focus of a concave mirror
produces a virtual and enlarged image [Note: This exercise helps you deduce algebraically properties of
images that one obtains from explicit ray diagrams |
9 | 925-928 | (c) the virtual image produced by a convex mirror is always
diminished in size and is located between the focus and
the pole (d) an object placed between the pole and focus of a concave mirror
produces a virtual and enlarged image [Note: This exercise helps you deduce algebraically properties of
images that one obtains from explicit ray diagrams ]
9 |
9 | 926-929 | (d) an object placed between the pole and focus of a concave mirror
produces a virtual and enlarged image [Note: This exercise helps you deduce algebraically properties of
images that one obtains from explicit ray diagrams ]
9 16
A small pin fixed on a table top is viewed from above from a distance
of 50cm |
9 | 927-930 | [Note: This exercise helps you deduce algebraically properties of
images that one obtains from explicit ray diagrams ]
9 16
A small pin fixed on a table top is viewed from above from a distance
of 50cm By what distance would the pin appear to be raised if it is
viewed from the same point through a 15cm thick glass slab held
parallel to the table |
9 | 928-931 | ]
9 16
A small pin fixed on a table top is viewed from above from a distance
of 50cm By what distance would the pin appear to be raised if it is
viewed from the same point through a 15cm thick glass slab held
parallel to the table Refractive index of glass = 1 |
9 | 929-932 | 16
A small pin fixed on a table top is viewed from above from a distance
of 50cm By what distance would the pin appear to be raised if it is
viewed from the same point through a 15cm thick glass slab held
parallel to the table Refractive index of glass = 1 5 |
9 | 930-933 | By what distance would the pin appear to be raised if it is
viewed from the same point through a 15cm thick glass slab held
parallel to the table Refractive index of glass = 1 5 Does the answer
depend on the location of the slab |
9 | 931-934 | Refractive index of glass = 1 5 Does the answer
depend on the location of the slab 9 |
9 | 932-935 | 5 Does the answer
depend on the location of the slab 9 17
(a) Figure 9 |
9 | 933-936 | Does the answer
depend on the location of the slab 9 17
(a) Figure 9 28 shows a cross-section of a ‘light pipe’ made of a
glass fibre of refractive index 1 |
9 | 934-937 | 9 17
(a) Figure 9 28 shows a cross-section of a ‘light pipe’ made of a
glass fibre of refractive index 1 68 |
9 | 935-938 | 17
(a) Figure 9 28 shows a cross-section of a ‘light pipe’ made of a
glass fibre of refractive index 1 68 The outer covering of the
pipe is made of a material of refractive index 1 |
9 | 936-939 | 28 shows a cross-section of a ‘light pipe’ made of a
glass fibre of refractive index 1 68 The outer covering of the
pipe is made of a material of refractive index 1 44 |
9 | 937-940 | 68 The outer covering of the
pipe is made of a material of refractive index 1 44 What is the
range of the angles of the incident rays with the axis of the pipe
for which total reflections inside the pipe take place, as shown
in the figure |
9 | 938-941 | The outer covering of the
pipe is made of a material of refractive index 1 44 What is the
range of the angles of the incident rays with the axis of the pipe
for which total reflections inside the pipe take place, as shown
in the figure FIGURE 9 |
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