First slide

Simple hormonic motion

Question

The variation of potential energy of harmonic oscillator is as shown in figure. The spring constant is _______

Moderate

A

$1 \times 10^{2} N / m$
B

$1.5 \times 10^{2} N / m$
C

$2 \times 10^{2} N / m$
D

$3 \times 10^{2} N / m$

Solution

Energy of oscillation = (0.04 – 0.01)J = 0.03 J.
$\begin{array}{l} ∴ \frac{1}{2} . k . {(20 \times 10^{- 3})}^{2} = 0.03. \\ \Rightarrow k = 1.5 \times 10^{2} N / m \end{array}$

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