Question

Two bodies of equal weight are kept at heights of h and 1.5 h respectively. The ratio of their P.E. will be :

• A. 3: 2
• B. 2: 3
• C. 1: 1
• D. none of these

Answer 1

Answer: (B)

2: 3

$\underset{–}{\text{First body:}}$

Mass of the body = $m$

Height at which the body is kept = $h$

Potential energy of the body $U_1=mgh$

$\underset{–}{\text{Second body:}}$

Mass of the body = $m$

Height at which the body is kept = $1.5h$

Potential energy of the body $U_2=1.5mgh$

The ratio of potential energy is $U_1:U_2=1:1.5=\frac{2}{3}=2:3$