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JEE PHYSICS MCQ: WAVES

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Define Mach Number.
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Correct option: C
It is the ratio of the velocity of an object to the velocity of sound.
Option C (It is the ratio of the velocity of an object to the velocity of sound) is correct because the Mach number is defined as the speed of an object divided by the speed of sound in the same medium.

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The source of sound generating a frequency of 3  kHz3\,\,kHz reaches an observer with a speed of 0.50.5 times, the velocity of sound in air. The frequency heard by the observer is A source of sound emits waves with frequency fHzf\mathrm{ }Hz and speed Vm/secV\mathrm{ }m/sec. Two observers move away from this source in opposite directions each with a speed 0.2  V0.2\,\,V relative to the source. The ratio of frequencies heard by the two observers will be Assertion: The wave function of a pulse is given by y=3(2x+3t)2+4,y = \frac{3}{{{{\left( {2x + 3t} \right)}^2} + 4}}, it propagates in (–ve) x(– \mathrm{ve}) \,x-direction.
Reason: The given wave function is of the form y=f(kx+ωt),y = f(kx +\omega t), which represent a wave travelling in negative XX-direction.
In the fundamental mode, time taken by the wave to reach the closed end of the air filled pipe is 0.01  s0.01\,\,s. the fundamental frequency is A rope 5 m5 \mathrm{~m} long has a total mass of 245 g245 \mathrm{~g}. It is stretched with a constant tension of 1 kg1 \mathrm{~kg} wt. If it is fixed at one end and shaken by hand at the other end, what frequency of shaking will make it break up into three vibrating segments? Take g=980 cm s−2g=980 \mathrm{~cm} \mathrm{~s}^{-2}. If TT is the reverberation time of an auditorium of volume VV then
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