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JEE PHYSICS MCQ: WAVES

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Stationary waves are formed when
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Correct option: A
Two waves of equal amplitude and equal frequency travel along the same path in opposite directions
Option A (Two waves of equal amplitude and equal frequency travel along the same path in opposite directions) is correct because this is the condition required for the formation of stationary waves due to superposition.

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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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