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IMPORTANT
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In order to double the frequency of the fundamental note emitted by a stretched string, the length is reduced to of the original length and the tension is changed. The factor by which the tension is to be changed is,
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Important Questions on Wave Motion
MEDIUM
JEE Main
IMPORTANT
A cylindrical resonance tube, open at both ends, has a fundamental frequency in air. If half of the length is dipped vertically in water. The fundamental frequency of the air column will be
HARD
JEE Main
IMPORTANT
The length of a sonometer wire is . Where, should the two bridges be placed from to divide the wire in segments whose fundamental frequencies are in the ratio of ?
EASY
JEE Main
IMPORTANT
Standing waves are produced in long stretched string. If the string vibrates in segments and the wave velocity is , then its frequency will be
MEDIUM
JEE Main
IMPORTANT
Two transverse sinusoidal waves travel in opposite directions along a string. The speed of transverse waves in the string is . Each has an amplitude of and wavelength of . The equation for the resultant wave is
HARD
JEE Main
IMPORTANT
A wire of length having tension and radius vibrates with natural frequency . Another wire of same metal with length having tension and radius will vibrate with natural frequency
MEDIUM
JEE Main
IMPORTANT
When the string of a sonometer of length between the bridges vibrates in the second overtone, the amplitude of vibration is maximum at
EASY
JEE Main
IMPORTANT
A stationary wave set up on a string has the equation . This stationary wave is created by two identical waves, of amplitude each moving in opposite directions along the string. Then,
EASY
JEE Main
IMPORTANT
Two strings and have lengths and and carry masses and at their lower ends, the upper ends being supported by rigid supports. If and are their fundamental frequencies of their vibrations, then is
