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Waves, Numerical Problems

This page consists of solved numerical problems of Waves included in the First Year Physics course.

 

S No Problem
Problem 1 What is the wavelength of a television station which transmits vision on 500 MHz and sound on 505 MHz, respectively? Take the speed of electromagnetic wave 3 × 108 ms-1.
See Solution
Problem 2 A person on the sea shore observes 48 waves reach the shore in one minute. If the wavelength of the wave is 10 m, find the velocity of the wave.
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Problem 3 In a ripple tank 500 waves pass through a certain point in 10 seconds. If the speed of the wave is 3.5 ms-1, find the wavelength of the wave.
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Problem 4 A string of guitar 1.3 m long vibrates with 4 nodes, 2 of them at the ends. Find the wavelength and speed of the wave in the string if it vibrates at 500 Hz.
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Problem 5 Find the speed of sound in Helium gas at 27oC. (γ=1.66 and R=8334 J/K mole K).
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Problem 6 The speed of sound in air at 0oC is 332 ms-1. What will be the speed of sound at 22oC?
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Problem 7 Two tuning forks P and Q give 4 beats per second. On loading Q lightly with wax, we get 3 beats per second. What is the frequency of Q before and after loading it if the frequency of P is 512 Hz.
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Problem 8 On a sunny day, the speed of sound in the air is 340 m/s. 2 tuning forks A and B are sounded simultaneously. The wavelength of the sound emitted are 1.5 m and 1.68 m respectively. How many beats will produce?
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Problem 9 A sound source vibrates at 200 Hz and is receding from a stationary observer at 18 m/s. If the speed of sound is 331 m/s then what frequency does the observer hear?
(‘Receding’ means moving away).
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Problem 10 The first over tone of an open organ pipe has the same frequency as the first overtone of a closed pipe 3.6 m in length. What is the length of the open organ pipe?
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