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Waves

JEE Main 2025 (Online) 23rd January Evening ShiftMCQEasy📈 Topic in 16% papers+4−1
Ques. 1JEE Main 2025, 23 January (Evening Shift)

The equation of a transverse wave travelling along a string is y(x,t)=4.0 [20 10-3x+600t ]mm, where x is in mm and t is in second. The velocity of the wave is :

  1. -60 m/s
  2. +60 m/s
  3. +30 m/s
  4. -30 m/s

Answer

(4) -30 m/s

Solution

Compare with y=A (kx+ t): k=20 10-3 mm-1=20 m-1, =600 s-1.

Speed = k= 60020=30 m/s.

kx+ t (same signs) wave moves along -x: v=-30 m/s.

Answer: (4)

Keep practising — Waves

Ques. 2JEE Main 2025, 22 January (Morning Shift)

A closed organ and an open organ tube are filled by two different gases having same bulk modulus but different densities 1 and 2, respectively. The frequency of 9th harmonic of closed tube is identical with 4th harmonic of open tube. If the length of the closed tube is 10 cm and the density ratio of the gases is 1: 2=1:16, then the length of the open tube is :

  1. 157 cm
  2. 209 cm
  3. 207 cm
  4. 159 cm

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