SATHEE: Gravitation Question 367

Gravitation Question 367

Question: Two rings each of radius ‘a’ are coaxial and the distance between their centres is a. The masses of the rings are $[M_{1} a n d M_{2}]$ . The work done in transporting a particle of a small mass m from centre $[C_{1} t o C_{2}]$ is :

Options:

A) $[\frac{G m (M_{2} - M_{1})}{a}]$

B) $[\frac{G m (M_{2} - M_{1})}{a \sqrt{2}} (\sqrt{2} + 1)]$

C) $[\frac{G m (M_{2} - M_{1})}{a \sqrt{2}} (\sqrt{2} - 1)]$

D) $[\frac{G m (M_{2} - M_{1})}{\sqrt{2}} a]$

Show Answer

Answer:

Correct Answer: C

Solution:

$[W = m (V_{2} - V_{1})]$

when, $[V_{1} = - [\frac{G M_{1}}{a} + \frac{G M_{2}}{\sqrt{2} a}],]$

$[V_{2} = - [\frac{G M_{2}}{a} + \frac{G M_{1}}{\sqrt{2} a}]]$ $[∴,,,,,,,,,,,,,,,,,,,,,,,,,, W = \frac{G m (M_{2} - M_{1})}{a \sqrt{2}} (\sqrt{2} - 1)]$

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Gravitation Question 367

Question: Two rings each of radius ‘a’ are coaxial and the distance between their centres is a. The masses of the rings are[M1andM2] . The work done in transporting a particle of a small mass m from centre [C1toC2] is :

Options:

Answer:

Solution:

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Question: Two rings each of radius ‘a’ are coaxial and the distance between their centres is a. The masses of the rings are $[M_{1} a n d M_{2}]$ . The work done in transporting a particle of a small mass m from centre $[C_{1} t o C_{2}]$ is :