New Course

1. [2082] What are stationary waves? Prove that the distance between two consecutive nodes in it is equal to half of the wavelength.                                                                 [3]

Old Course

SHORT ANSWER QUESTION

2. [2078 C] A plane progressive wave equation is given by [latex]y = 0.2sin(512\pi t – \frac{25}{8}\pi x)[/latex] where y is in centimeters, x in meters and t in seconds. What is the speed of the wave?
3. [2076 GIE A] How do transverse waves differ from longitudinal waves?
4. [2076 ‘B’] Can longitudinal wave be polarized? Explain.
5. [2076 ‘C’] How are stationary waves formed?
6. [2075 ‘S’] Distinguish between progressive waves and stationary waves.
7. [2075 ‘A’] We can’t hear echo in a small room. Why?
8. [2075 ‘B’] Frequency is the most fundamental property of a wave. Why?
9. [2073 ‘S’] If you are walking on the moon surface, can you hear the cracking sound behind you? Explain.
10. [2072 ‘D’] Distinguish between progressive waves and standing waves?

LONG ANSWER QUESTION

11. [2074 ‘B’] How is a progressive wave different from a stationary wave? Derive an equation for a progressive wave.

OR [2072 ‘E’] Define progressive waves. Derive an equation to represent this wave.

12. [2072 ‘C’] What is a wave motion? Derive progressive wave equation in a medium.

1. A wave has the equation (x in metres and t in seconds) Y = 0.02sin(30t – 4x). Find
   i. Its frequency, speed and wave length.
   ii. The equation of wave with double amplitude but travelling in the opposite direction. Ans: 4.77 Hz, 1.57 m, 7.5 ms^-1, y = 0.04sin(30t + 4x)
2. A sound wave of frequency 400 Hz is travelling in air at a speed of 320 ms^-1. Calculate the difference in phase between two points on the wave 0.2 m apart in the direction of travel. (Ans:1.57 radian)
3. The equation of motion of a wave is y = 1.2sin(3.5t – 0.5x), where distance and time are expressed in meter and second respectively. Determine the amplitude, frequency, wavelength and velocity of the wave. Also, find the maximum speed of particles in that medium and the equation of a wave with double amplitude and frequency but travelling exactly in the opposite direction of the given wave. (Ans: 1.2m, 0.56 Hz, 12.57 m, 7.04 ms^-1, 4.2 ms^-1, 2.4sin(7.04t+0.5x)