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In the arrangement shown, the pulleys ar...

In the arrangement shown, the pulleys are fixed and ideal, the strings are light, `m_(1)gtm_(2)` and S is a spring balance which is itself massless. The readings of S (in units of mass) is

A

`m_(1) - m_(2)`

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D

Reading of spring balance = T
`T = (2m_(1) m_(2))/(m_(1) + m_(2)) gN`
Mass `= (2m_(1)m_(2))/(m_(1) + m_(2))`
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