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Waves · Question 56

AIPMT 2001MCQEasy📈 Topic in 50% papers+4−1
1

If the tension and diameter of a sonometer wire of fundamental frequency n is doubled and density is halved then its fundamental frequency will become

  1. n4
  2. 2n
  3. n
  4. n 2

Answer

(3) n

Solution

Fundamental frequency of a stretched wire:

n = 12l T , where = D24 (mass per unit length)

n = 1lD T , i.e. n 1D T

With T' = 2T, D' = 2D, ' = 2:

n'n = DD' T'T '

= 12 2 2

= 1

n' = n

Answer: (3)

AIPMT 2001

Keep practising — Waves

2

A string is cut into three parts, having fundamental frequencies n1, n2, n3 respectively. Then original fundamental frequency n related by the expression as

  1. 1n = 1n1 + 1n2 + 1n3
  2. n = n1 n2 n3
  3. n = n1 + n2 + n3
  4. n = n1 + n2 + n33
AIPMT 2000
3

Two stationary sources each emit waves of wavelength . An observer moves from one source to the other with velocity u. Then the number of beats heard by him is

  1. 2u
  2. u
  3. u
  4. u2
Out of syllabusAIPMT 2000

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