STANDARDPhysics-Waves

STANDARD Physics Harmonic Waves MCQ Question

Type: MCQ-conceptual-Medium-Class 11

A transverse harmonic wave on a string is described by y(x,t) = 3sin(36t + 0.018x + \frac{π\pi}{4}) where x and y are in cm and t is in s. Which of the following statements is incorrect?

A

The wave is travelling in negative x-direction.

B

The amplitude of the wave is 3 cm.

C

The angular frequency of the wave is 36 rad/s.

D

The wave number is 0.018 cm1m^{-1}.

Correct Answer

Option D

Detailed Explanation

The wave equation y(x,t) = 3sin(36t + 0.018x + \frac{π\pi}{4}) indicates that the wave is travelling in the negative x-direction, and the amplitude is 3 cm. The angular frequency is 36 rad/s. However, the wave number should be 0.018 rad/cm, not cm1m^{-1}.

Found an issue with this question?