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Waves · Question 17

JEE Main 2025 (Online) 3rd April Evening ShiftMCQEasy📈 Topic in 13% papers+4−1
1

In the resonance experiment, two air columns (closed at one end) of 100 cm and 120 cm long, give 15 beats per second when each one is sounding in the respective fundamental modes. The velocity of sound in the air column is:

  1. 370 m/s
  2. 340 m/s
  3. 335 m/s
  4. 360 m/s

Answer

(4) 360 m/s

Solution

Fundamental frequency of a pipe closed at one end: f = v4L

f1 = v4 1.00, f2 = v4 1.20 (the shorter column has the higher frequency)

Beat frequency: f1 - f2 = 15

v4 (1 - 11.2 ) = 15

v4 16 = 15

v = 15 24 = 360 m/s

Answer: (4)

JEE Main 2025 (Online) 3rd April Evening Shift

Keep practising — Waves

2

A sinusoidal wave of wavelength 7.5 cm travels a distance of 1.2 cm along the x-direction in 0.3 sec. The crest P is at x = 0 at t = 0 sec and maximum displacement of the wave is 2 cm. Which equation correctly represents this wave?

  1. y = 2 (0.83x - 3.35t) cm
  2. y = 2 (0.83x - 3.5t) cm
  3. y = 2 (0.13x - 0.5t) cm
  4. y = 2 (3.35x - 0.83t) cm
JEE Main 2025 (Online) 2nd April Evening Shift
3

Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R In the light of the above statements, choose the correct answer from the options given below

  1. Both A and R are true and R is the correct explanation of A
  2. A is false but R is true
  3. A is true but R is false
  4. Both A and R are true but R is NOT the correct explanation of A
JEE Main 2025 (Online) 28th January Morning Shift

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