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Two blocks A and B of masses `m_(1)` and m, are connected by an inextensible string rest on two smooth planes inclined at angle `alpha` and `beta` as shown. The tension in string is -

A

`( m_(1) sin alpha - m_(2) sin beta ) g `

B

`( m_(1) + m_(2)) ( sin alpha - sin beta ) g `

C

`( m_(1) m_(2) g )/( m_(1) +m_(2)) ( sin alpha + sin beta ) `

D

`( m_(1)m_(2) g)/( m_(1) + m_(2)) (sin alpha - sin beta )`

Text Solution

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The correct Answer is:
D
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