A 60 kg person is weighed by a balance as 54 kg in a lift which is accelerated downwards. The acceleration of the lift is

Options

A. `1.26 ms^(-2)`
B. `1.76 ms^(-2)`
C. `1.98 ms^(-2)`
D. `0.98 ms^(-2)`

Answer

D

Explanation

(d) Here, `M_("eff") g=M(g-a)`
or `(g)/(g-a)=(M)/(M_("eff")) implies(g)/(g-a)=(60)/(54)`
`implies (g)/(g-a)=(10)/(9) implies 9g=10g-10a`
`implies -a=-10a implies g=10a`
`implies a=(g)/(10) implies a=(9.8)/(10)=0.98 ms^(-2)`