ExamGOAL
Books
13
MCQ (Multiple Correct Answer)

A rectangular block of glass $A B C D$ has a refractive index 1.6. A pin is placed midway on the face $A B$ figure. When observed from the face $A D$, the pin shall

A
appear to be near $A$
B
appear to be near $D$
C
appear to be at the centre of $A D$
D
not be seen at all
14
MCQ (Multiple Correct Answer)

Between the primary and secondary rainbows, there is a dark band known as Alexandar's dark band. This is because

A
light scattered into this region interfere destructively
B
there is no light scattered into this region
C
light is absorbed in this region
D
angle made at the eye by the scattered rays with respect to the incident light of the sun lies between approximately $42^{\circ}$ and $50^{\circ}$
15
MCQ (Multiple Correct Answer)

A magnifying glass is used, as the object to be viewed can be brought closer to the eye than the normal near point. This results in

A
a larger angle to be subtended by the object at the eye and hence, viewed in greater detail
B
the formation of a virtual erect image
C
increase in the field of view
D
infinite magnification at the near point
16
MCQ (Multiple Correct Answer)

An astronomical refractive telescope has an objective of focal length 20 m and an eyepiece of focal length 2 cm .

A
The length of the telescope tube is 20.02 m
B
The magnification is 1000
C
The image formed is inverted
D
An objective of a larger aperture will increase the brightness and reduce chromatic aberration of the image
17
Subjective

Will the focal length of a lens for red light be more, same or less than that for blue light?

Explanation

As the refractive index for red is less than that for blue, parallel beams of light incident on a lens will be bent more towards the axis for blue light compared to red.

In other words, $\propto_b>\propto_r$

By lens maker's formula,

$$\frac{1}{f}=\left(n_{21}-1\right)\left(\frac{1}{R_1}-\frac{1}{R_2}\right)$$

Therefore, $f_b< f_t$.

Thus, the focal length for blue light will be smaller than that for red.