Question

When a ling spring is stretched by $2cm$ its potential energy is $U$. If the spring is stretched by $10cm$, the potential energy stored in it will be

• A. $25U$
  
• B. $\frac{U}{5}$
  
• C. $5U$
  
• D. $10U$
  

Answer 1

The correct option is A $25U$

$\frac{P{E}_1}{P{E}_2}=\frac{x_1^2}{x_2^2}=\frac{2^2}{{10}^2}=\frac{1}{25}$

$\Rightarrow P{E}_2=25\times P{E}_1=25U$

Hence correct answer is option $A$