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Waves · Question 55

AIPMT 2001MCQEasy📈 Topic in 0% papers+4−1
1

Two waves having equation x1 = a ( t - kx + 1), x2 = a ( t - kx + 2). If in the resultant wave the frequency and amplitude remain equal to amplitude of superimposing waves, the phase difference between them is

  1. 6
  2. 2 3
  3. 4
  4. 3

Answer

(2) 2 3

Solution

For two waves of equal amplitude a and phase difference , the resultant amplitude is

AR = a2 + a2 + 2a2 = 2a 2

Given AR = a:

2a 2 = a

2 = 12

2 = 3

= 2 3

Answer: (2)

AIPMT 2001

Keep practising — Waves

2

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
AIPMT 2001
3

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
4

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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