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Test on Wave

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Question 1

When two tuning forks (fork 1 and fork 2) are sounded simultaneously, 4 beats per second are heard. Now, some tape is attached on the prong of the fork 2. When the tuning forks are sounded again, 6 beats per seconds are heard. If the frequency of fork 1 is 200 Hz, then what was the original frequency of fork 2?

Question 2

The displacement y of wave travelling in the x-direction is given by
y = 10⁻⁴sin

metres,
where x is expressed in metres and t in seconds. The speed of the wave-motion, in ms⁻¹ is

Question 3

An observer moves towards a stationary source of sound, with a velocity one fifth of the velocity of sound. What is the percentage increase in the apparent frequency?

Question 4

A cylindrical tube, open at ends, has a fundamental frequency, f, in air. The tube is dipped vertically in water so that half of it is in water. The fundamental frequency of the air-column is now

Question 5

A wave travelling along the x-axis is described by the equation y (x, t) = 0.005 cos (αx - βt). If the wavelength and the time period of the wave are 0.08 m and 2.0 s, respectively, then α and β in appropriate units are

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Mar 28JEE & BITSAT