A man slides down a light rope whose breaking strength is `eta` times his weight (`etalt1`) . What should be his minimum acceleration so that the rope just breaks?

Options

A. `etag`
B. `g(1-eta)`
C. `(g)/(1+eta)`
D. `(g)/(2+eta)`

Answer

B

Explanation

`mg-T=marArrT=m(g-a)`
`T_(max)=etamg`
`m(g-a)lt=etamg`
`(g-a)lt=etag`
`(1-eta)glt=a`
`agt=(1-eta)g`
`a_(min)=(1-eta)g`