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A light string passing over a smooth lig...

A light string passing over a smooth light pulley connects two blocks of masses `m_1` and `m_2` (vertically). If the acceleration of the system is `g//8`, then the ratio of the masses is

A

`8:1`

B

`9:7`

C

`4:3`

D

`5:3`

Text Solution

Verified by Experts

The correct Answer is:
B
The acceleration of the system is
`a=((m_1 -m_2 ) g) /(m_1 +m_2)=(g)/(8) or (m_1 -m_2 )/(m_1 +m_2) = 1/8`
`or 8m_1- 8m_2 =m_1 +m_2 or 7 m_1 = 9m_2 or (m_1 )/(m_2)=(9)/(7)`
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