A particle is thrown at an angle $\alpha ={\sin }^{-1}\left(\frac{3}{5}\right)$in the air as shown in the figure. The angle received from the inside water is$\left({\mu }_{water}=\frac{4}{3}\right)$.

1. $15°$

2. $45°$

3. $30°$

4. $60°$

A convex mirror of focal length f forms an image, which is $\left(\frac{1}{n}\right)$ times the length of the object. The distance of the object from the mirror is

1.  (n - 1)f

2.  $\left(\frac{n -1}{n}\right)$f

3.  $\left(\frac{n + 1}{n}\right)$f

4.  (n + 1)f

We combined a convex lens of focal length $f_1$ with a concave lens of focal length $f_2$ and their combined focal length is F. The combination of these lenses will behave like a concave lens, if

1.  $f_1$ > $f_2$

2.   $f_1$ < $f_2$

3.   $f_1$ = $f_2$

4.   $f_1 \le$ $f_2$

A ray of light is incident grazing on an equilateral prism of refractive Index = 2. The angle of emergence is 

1. $30°$

2. $60°$

3. $75°$

4. $90°$

A ray of light is incident on an equilateral glass prism placed on a horizontal table as shown. For minimum deviation, a true statement is:

Assertion (A): A convex lens made up of glass can never form a virtual, erect, and diminished image.

Reason (R): Convex lens can give only a virtual enlarged image when an object is placed between the focus and pole of the mirror.

(1) Both Assertion and Reason are true and the reason is the correct explanation of the assertion.

(2) Both Assertion and Reason are true but the reason is not the correct explanation of the assertion.

(3) Assertion is a true statement but Reason is false.

(4) Both Assertion and Reason are false statements.

The length of a compound microscope is 14 cm. The magnifying power for a relaxed eye is 25. If the focal length of the eye lens is 5 cm, then the object distance for the objective lens will be

1.  1.8 cm

2.  1.5 cm

3.  2.1 cm

4.  2.4 cm

Assertion: When a convex mirror is immersed in water, its focal length increases.

Reason: The focal length of a mirror is inversely proportional to the refractive index of the medium.

(1) Both Assertion and Reason are true and the reason is the correct explanation of the assertion.

(2) Both Assertion and Reason are true but the reason is not the correct explanation of the assertion.

(3) Assertion is a true statement but Reason is false.

(4) Both Assertion and Reason are false statements.

A point source of light is emitting light in a vertically upward direction and the container is filled with a liquid of refractive index $\sqrt{2}$. If it starts accelerating along the x-axis with acceleration $\mathrm{a}=\frac{\mathrm{g}}{\sqrt{3}}$, the light coming out of liquid os deviated by

1. $5°$

2. $10°$

3. $15°$

4. $20°$

The minimum magnifying power of a telescope is M. If the focal length of its eye lens is halved, then the magnifying power will become

1.  $\frac{M}{2}$

2.  2M

3.  3M

4.  4M