SATHEE: Optics Question 791

Optics Question 791

Question: An object is moving with speed $v_{0}$ towards a spherical mirror with radius of curvature R, along the central axis of the mirror. The speed of the image with respect to the mirror is (U is the distance of the object from mirror at any given time

Options:

A) $+ (\frac{R}{U - 2 R}) v_{0}^{2}$

B) $- {(\frac{R}{R - 2 U})}^{2} v_{0}^{}$

C) $- {(\frac{R}{2 U - 2 R})}^{2} v_{0}^{}$

D) $+ (\frac{R}{2 U - 2}) v_{0}^{2}$

Show Answer

Answer:

Correct Answer: B

Solution:

[b] For concave mirror $\frac{2}{R} = \frac{1}{v} + \frac{1}{u} or \frac{2}{- R} = \frac{1}{v} + \frac{1}{- u}$

$∴ \frac{1}{v} = \frac{1}{U} - \frac{2}{R} = \frac{R - 2 U}{U R} or v = [\frac{R U}{R - 2 U}]$

In spherical mirror, image velocity $v_{t} = - [\frac{v^{2}}{u^{2}}] v_{0} = - {[\frac{R U}{R - 2 U}]}^{2} \frac{v_{0}}{U^{2}} = - {[\frac{R}{R - 2 U}]}^{2} v_{0}$

Optics Question 791

Question: An object is moving with speed $v_{0}$ towards a spherical mirror with radius of curvature R, along the central axis of the mirror. The speed of the image with respect to the mirror is (U is the distance of the object from mirror at any given time

Options:

Answer:

Solution:

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Optics Question 791

Question: An object is moving with speed v0 towards a spherical mirror with radius of curvature R, along the central axis of the mirror. The speed of the image with respect to the mirror is (U is the distance of the object from mirror at any given time

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

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Question: An object is moving with speed $v_{0}$ towards a spherical mirror with radius of curvature R, along the central axis of the mirror. The speed of the image with respect to the mirror is (U is the distance of the object from mirror at any given time