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:

Options

A. 2N
B. 20N
C. 50N
D. 100N

Answer

b

Explanation

`a=(m_(1)-m_(2))/(m_(1)+m_(2))`g.`Ifm_(1)gtm_(2)` But` a=(g)/(8)`
`(g)/(8)=((m_(1)-m_(2))/(m_(1)+m_(2)))g, (1)/(8)=(m_(1)-m_(2))/(m_(1)+m_(2))`
`8m_(1)-8m_(2)=m_(1)+m_(2)`
`7m_(1)=9m_(2)(m_(1))/(m_(2))=(9)/(7)`
`m_(1):m_(2)::9:7`
Hence choice is (b)