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Concepts Of Physics MCQ Edition [Volume 1]

Exam: Concepts Of Physics MCQ Edition [Volume 1]
Subject: Physics
Chapter: Geometrical Optics

Concepts Of Physics MCQ Edition [Volume 1] · Physics · Geometrical Optics

A small block of mass m and a concave mirror of radius R fitted...

A small block of mass

m

and a concave mirror of radius

R

fitted with a stand lie on a smooth horizontal table with a separation

d

between them. The mirror together with its stand has a mass

m

. The block is pushed at

t = 0

towards the mirror so that it starts moving towards the mirror at a constant speed

V

and collides with it. The collision is perfectly elastic. Find the velocity of the image (a) at a time

t < d/V

, (b) at a time

t > d/V

.

Options

A(a) $\dfrac{R^2 V}{[2(d - Vt) - R]^2}$
(b) $V \left($ 1 - \dfrac{R^2}{[2Vt - d - R]^2}\right)
B(a) $\dfrac{R^2 V}{[2(d - Vt) + R]^2}$
(b) $V \left($ 1 - \dfrac{R^2}{[2Vt - d + R]^2}\right)
C(a) $\dfrac{R V}{[2(d - Vt) - R]^2}$
(b) $V \left($ 1 - \dfrac{R}{[2Vt - d - R]^2}\right)
D(a) $\dfrac{R^2 V}{[d - Vt - R]^2}$
(b) $V \left($ 1 - \dfrac{R^2}{[Vt - d - R]^2}\right)

Correct answer

A. (a) $\dfrac{R^2 V}{[2(d - Vt) - R]^2}$
(b) $V \left($ 1 - \dfrac{R^2}{[2Vt - d - R]^2}\right)

Step-by-step solution

(a)

\dfrac{R^2 V}{[2(d - Vt) - R]^2}

(b)

V \left(1 -

\dfrac{R^2}{[2Vt - d - R]^2}\right)

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