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9.2 Reflection of Light by Spherical
Mirrors
(5 marks)
1. Define the term ‘focal length of a mirror’. With the
help of a ray diagram, obtain the relation between its
focal length and radius of curvature.
(2020)
EEG 6 mark)
2. When an object is placed between f and 2f of a
concave mirror, would the image formed be (i) real
or virtual and (ii) diminished or magnified?
(Delhi 2015C)(U)
EEG (2 marks) _
3. An object is kept 20 cm in front of a concave mirror
of radius of curvature 60 cm. Find the nature and
position of the image formed. (2020)
An object is kept in front of a concave mirror of focal
fength 15 cm. The image formed is real and three
times the size of the object. Calculate the distance of
the object from the mirror. (Al 2019)
5. Use the mirror equation to show. that-an-object
placed between fand 2f of aconcave mirror produces
areal image beyond 2f. (Delhi 2015)
HEME (3 marks)
6. (a) Calculate the distance of an objects of ‘height
ACL Mee CBSE Board Questions a i ’
r a a
=a FEM (3 marks)
h from a concave mirror of radius of curvature »
20 cm, so as to obtain a real image of :
magnification 2. Find the location of image also. :
(b) Using mirror formula, explain why does a convex :
mirror always produce a virtual image.
(Dethi 2016) (Rp) |
7.
(a) A mobile phone lies along the principal axis of a °
concave mirror. Show, with the help of a suitable
diagram, the formation of its image. Explain why
magnification is not uniform.
(b) Suppose the lower half of the concave mirror's :
reflecting surface is covered with an opaque
material. What effect this will have on the image
of the object? Explain.
EEEW (5 marks) _
8. An object is placed in front of a concave mirror. Itis is
observed that a virtual image is formed. Draw the
(Delhi 2014) (Ap) |
ray diagram to show the image formation and hence
derive the mirror equation 11,1. (975, 2020)
f
uy
(a) Draw a ray diagram to show image formation
when the concave mirror produces a real,
inverted and magnified image of the object.
(b) Obtain the mirror formula and write the expression
for the linear magnification (4/5, 2018) (Kn)
9.3 Refraction
10. Monachromatic light of wavelength 589 nm is
incident from air on a water surface. If 1 for water
is 1.33, find the wavelength, frequency and speed of
the refracted light. (2/3, Al 2017) (Kp)
9.4 Total Internal Reflection
Rey oho
Here, question 11 wy to (v) is acase se study base question
of 5 marks.
11. Aray of light travels from a denser to a rarer medium.
After refraction, it bends away from the normal,
When we keep increasing the angle of incidence, the
angle of refraction also increases till the refracted
Tay grazes along the interference of two media. The
angle of incidence for which it happens is called
critical angle. If the angle of incidence is.increased
further the ray will not emerge and it will be reflected
back in the denser medium. This phenomenon is
called total internal reflection of light.
(i) A ray of light travels from a medium into water
at an angle of incidence of 18° The refractive index
of the medium is more than that of water and the
critical angle for the interface between the two
media is 20° Which one of the following figures best
represents the correct path of the ray of light?
(a) (b)
() (d)
18°
as
(ii) A point source of light is placed at the bott
of a tank filled with water, of refractive index }.
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a depth d. The area of the surface of water through
which light from the source can emerge. is.
? 2
o =< os
an?) (n
ha 2nd?
) = (a)
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(iii) For which of the following media, with respect to
air, the value of critical angle is maximum?
fa) Crown glass (b) Flint glass
(©) Water {d) Diamond
{iv) The critical angle for a pair of two media A and B
of refractive indices 2.0 and 1.0 respectively is:
(a) 0° {b) 30°
te) 45" (ad) 60°
(v) The critical angle of pair of a medium and air is
30° The speed of light in the medium is:
(a) 1 10%ms"? (b) 1.510% ms!
() 2.2*10%ms! {d) 2.8 10%ms?
(Term |] 2021-22)
BEGET (2 marks)
12. How does the refractive index of a transparent
medium depend on the wavelength of incident light
used? Velocity of light in glass is 2 x 10° m/s and in air
is 3 x 10° m/s. If the ray of light passes from glass to
air, calculate the value of critical angle.
(Foreign 2015)(Ap)
13. {a) Write the necessary conditions fcr the
phenomenon of total internal reflection to occur.
(b) Write the relation between the refractive index
and critical angle for a given pair of optical
media. {Delhi 2013)
En (3 marks)
14. Define the term ‘critical angle’ for a pair of media.
A point source of monochromatic light ‘S’ is
kept at the centre of the bottom of a cylinder
of radius 15.0 cm. The cylinder contains water
(refractive index 4/3) to a height of 7.0 cm. Draw the
ray diagram and calculate the area of water surface
through which the light emerges in air.
(Delhi 2013¢)
small bulb (assumed to be a point source) is placed
At the bottom of a tank containing water to a depth
of 80 cm. Find out the area of the surface of water
through which light from the bulb can emerge. Take
the value of the refractive index of water to be 4/3.
(Delhi 2013C)
a (5 marks)
(1) Under what conditions is the phenomenon of total
internal reflection of light observed ? Obtain the
oh
relation between the eritical angle of incidence ang
the refractive index of the medium:
(3/5, Dethi 2019) (Ap)
9.5 Refraction at Spherical Surfaces
and by Lenses
BRE 11 maria
17. A ray of light falls on a transparent sphere with
centre C as shown in the figure. The ray emerges
from the sphere parallel to the line AB. Find the angle
of refraction at A if refractive index of the material of
the sphereis /3.
Here, question 18 (i) to (v) is a case study base question
of 5 marks.
18. Two transparent media of refractive indices n, anda,
are separated by a spherical transparent surface. The
rays o/ light incident on the surface.get refracted into
the medium on the other side. The laws of refraction
are valid at each point of the spherical surface. A
lens is a transparent optical medium bounded by two
surfaces, at least one of which should be spherical.
The focal length of a lens is determined by the radii
of curvature (R, and R;) of its two surfaces and the
refractive index(n) of the medium of the lens with
respect to the surrounding medium. Depending on R,
and R2 a lens behaves as a diverging or a converging
lens. The ability of a lens to diverge or converge a
beam of light incident on it define its power,
(i) An object is placed at the point B as shown
in the figure. The object distance {u) and the
image distance (v) are related as
Pa,
Cc 8
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