Question

Two springs of spring constants 1500 N/m and 3000 N/m respectively are stretched with the same force. They will have potential energy in the ratio

• A. 4:1
• B. 1:4
• C. 2:1
• D. 1:2

Answer 1

The correct option is C 2:1

It is known that

$U=\frac{F^2}{2k}$

$U\propto \frac{1}{k}$ ( if force are same)

$\Rightarrow \frac{U_1}{U_2}=\frac{k_2}{k_1}$

$\therefore \frac{U_1}{U_2}=\frac{3000}{1500}=\frac{2}{1}$