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Two spherical objects each of radii R an...

Two spherical objects each of radii R and masses m1 and m2 are suspended using two strings of equal length L as shown in the figure `(R lt lt L)`. The angle, `theta` which mass `m_(2)` makes with the vertical is approximately -

A

`(m_(1)R)/((m_(1)+m_(2))L)`

B

`(2m_(1)R)/((m_(1) +m_(2))L)`

C

`(2m_(2)R)/((m_(1) + m_(2))L)`

D

`(m_(2)R)/((m_(1) + m_(2))L)`

Text Solution

Verified by Experts

The correct Answer is:
B

Distance of centre of mass from `m_(2) `
`d = (m_(1))/((m_(1) + m_(2)))xx 2R`
`theta = ("distance(d)")/(L) rArr theta = (m_(1))/((m_(1) + m_(2))) xx (2R)/(L)`
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