Oscillations - Result Question 31
34. A linear harmonic oscillator of force constant $2 \times 10^{6} N / m$ and amplitude $0.01 m$ has a total mechanical energy of $160 J$. Its
[1996]
(a) potential energy is $160 J$
(b) potential energy is $100 J$
(c) potential energy is zero
(d) potential energy is $120 J$
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Answer:
Correct Answer: 34. (b)
Solution:
- (b) Force constant $k=2 \times 10^{6} N / m$
Amplitude $(x)=0.01 m$
Potential Energy $=\frac{1}{2} k x^{2}$
$=\frac{1}{2} \times(2 \times 10^{6}) \times(0.01)^{2}=100 J$
