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 $120 J$

Show Answer

Answer:

Correct Answer: 34. (b)

Solution:

  1. (b) Force constant $k=2 \times 10^{6} N / m$

Amplitude $(x)=0.01 m$

Potential Energy $=\frac{1}{2} k x^{2}$

$=\frac{1}{2} \times(2 \times 10^{6}) \times(0.01)^{2}=100 J$