Waves & Sound · JEE Main previous year questions

2012 2 questions

1. Q422012 · 26 May 2012 · Shift 1

   An air column in a pipe, which is closed at one end, will be in resonance with a vibrating tuning fork of frequency $264\mathrm{Hz}$ if the length of the column in $\mathrm{cm}$ is (velocity of $\mathrm{sound}=330m/s$)

   1. A.$125.00$
   2. B.$93.75$
   3. C.$62.50$
   4. D.$187.50$
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   Answer: B

2. Q432012 · 12 May 2012 · Shift 1

   A wave represented by the equation $y_1=a\cos (kx-\omega t)$ is superimposed with another wave to form a stationary wave such that the point $x=0$ is node. The equation for the other wave is

   1. A.$a\cos (kx-\omega t+\pi )$
   2. B.$a\cos (kx+\omega t+\pi )$
   3. C.$a\cos \left(kx+\omega t+\frac{\pi }{2}\right)$
   4. D.$a\cos \left(kx-\omega t+\frac{\pi }{2}\right)$
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   Answer: B