Oscillations (SHM) · JEE Main previous year questions

2014 2 questions

1. Q442014 · 6 Apr 2014 · Shift 1

   A particle moves with simple harmonic motion in a straight line. In first $\tau \mathrm{s}$, after starting from rest it travels a distance $a$, and in next $\tau \mathrm{s}$ it travels $2a$, in same direction, then:

   1. A.amplitude of motion is $3a$
   2. B.time period of oscillations is $8\tau$
   3. C.amplitude of motion is $4a$
   4. D.time period of oscillations is $6\tau$
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   Answer: D

2. Q452014 · 6 Apr 2014 · Shift 1

   A pipe of length $85\mathrm{cm}$ is closed from one end. Find the number of possible natural oscillations of air column in the pipe whose frequencies lie below $1250\mathrm{Hz}$. The velocity of sound in air is $340m/s$.

   1. A.$12$
   2. B.$8$
   3. C.$6$
   4. D.$4$
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   Answer: C