First slide

Simple hormonic motion

Question

In the system shown, the ratio of energy stored in the spring $s_{1}$ to that of spring $s_{2}$ in equilibrium is

Easy

A

$\frac{K_{1}}{K_{2}}$
B

$\frac{K_{1}}{K_{1} + K_{2}}$
C

$\frac{K_{2}}{K_{1}}$
D

$\frac{K_{2}}{K_{1} + K_{2}}$

Solution

$U = \frac{F^{2}}{2 K}$ F is same for both the spring in series
$\Rightarrow U \propto \frac{1}{K}$

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