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Waves · Question 42

AIPMT 2008MCQEasy📈 Topic in 25% papers+4−1
1

The wave described by y = 0.25 sin(10 x - 2 t), where x and y are in metres and t in seconds, is a wave travelling along the

  1. +ve x direction with frequency 1 Hz and wavelength = 0.2 m.
  2. -ve x direction with amplitude 0.25 m and wavelength = 0.2 m.
  3. -ve x direction with frequency 1 Hz.
  4. +ve x direction with frequency Hz and wavelength = 0.2 m.

Answer

(1) +ve x direction with frequency 1 Hz and wavelength = 0.2 m.

Solution

Compare with the standard form y = A sin(kx - t).

The signs of the x and t terms are opposite, the wave travels along the +ve x direction.

k = 10 m-1 = 2 k = 2 10 = 0.2 m

= 2 rad s-1 = 2 = 1 Hz

The wave travels along the +ve x direction with frequency 1 Hz and wavelength 0.2 m.

Answer: (1)

AIPMT 2008

Keep practising — Waves

2

Two vibrating tuning forks produce waves given by y1 = 4 500 t and y2 = 2 506 t. Number of beats produced per minute is

  1. 360
  2. 180
  3. 60
  4. 3
AIPMT 2006
3

Two sound waves with wavelengths 5.0 m and 5.5 m respectively, each propagate in a gas with velocity 330 m/s. We expect the following number of beats per second.

  1. 6
  2. 12
  3. 0
  4. 1
AIPMT 2006
4

The time of reverberation of a room A is one second. What will be the time (in seconds) of reverberation of a room, having all the dimensions double of those of room A?

  1. 1
  2. 2
  3. 4
  4. 1/2
AIPMT 2006
5

A transverse wave propagating along x-axis is represented by y(x, t) = 8.0 (0.5 x - 4 t - /4) where x is in metres and t is in seconds. The speed of the wave is

  1. 8 m/s
  2. 4 m/s
  3. 0.5 m/s
  4. /4 m/s
AIPMT 2006
6

Which one of the following statements is true?

  1. Both light and sound waves can travel in vacuum
  2. Both light and sound waves in air are transverse
  3. The sound waves in air are longitudinal while the light waves are transverse
  4. Both light and sound waves in air are longitudinal
AIPMT 2006
7

A point source emits sound equally in all directions in a non-absorbing medium. Two points P and Q are at distances of 2 m and 3 m respectively from the source. The ratio of the intensities of the waves at P and Q is

  1. 3 : 2
  2. 2 : 3
  3. 9 : 4
  4. 4 : 9
AIPMT 2005
8

The phase difference between two waves represented by y1 = 10-6 [100t + (x/50) + 0.5] m y2 = 10-6 [100t + (x/50)] m, where x is expressed in metres and t is expressed in seconds, is approximately

  1. 1.07 radians
  2. 2.07 radians
  3. 0.5 radians
  4. 1.5 radians
AIPMT 2004
9

A car is moving towards a high cliff. The driver sounds a horn of frequency f. The reflected sound heard by the driver has frequency 2f. If v is the velocity of sound, then the velocity of the car, in the same velocity units, will be

  1. v/ 2
  2. v/3
  3. v/4
  4. v/2
Out of syllabusAIPMT 2004
10

An observer moves towards a stationary source of sound with a speed 1/5th of the speed of sound. The wavelength and frequency of the source emitted are and f respectively. The apparent frequency and wavelength recorded by the observer are respectively

  1. 1.2f, 1.2
  2. 1.2f,
  3. f, 1.2
  4. 0.8f, 0.8
Out of syllabusAIPMT 2003
11

A wave travelling in positive X-direction with a = 0.2 m, velocity = 360 m s-1 and = 60 m, then correct expression for the wave is

  1. y = 0.2 [2 (6t + x60 ) ]
  2. y = 0.2 [ (6t + x60 ) ]
  3. y = 0.2 [2 (6t - x60 ) ]
  4. y = 0.2 [ (6t - x60 ) ]
AIPMT 2002

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