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NCERT Solutions for class 11 Physics | Chapter 15 - Waves

(1) The extension in a string, obeying Hookes law is X. The speed of sound in the stretched string is V. If the extension in the string is increased to 1.5 X, the speed of sound will be
[A] 1.22 V
[B] 0.61 V
[C] 1.50 V
[D] 0.75 V
Answer: 1.22 V
(2) Four wires of identical lengths, diameters and material and stretched on a sonometer box. The ratio of their tension is 1 : 4 : 9 : 16. the ratio of their fundamental frequencies is
[A] 1 : 6 : 9 : 16
[B] 4 : 3 : 2 : 1
[C] 1 : 2 : 3 : 4
[D] 1 : 4 : 9 : 16
Answer: 1 : 2 : 3 : 4

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(3) A whistle giving out 450 Hz approaches a stationary observer at a speed of 33 m/s. The frequency heard by the observer in Hz is
[A] 409
[B] 429
[C] 517
[D] 500
Answer: 500
(4) Energy is to be carried from one place to another. Which one of the following cannot be used?
[A] Longitudinal progressive waves
[B] Transverse progressive waves
[C] Electromagnetic waves
[D] Standing (stationary) waves
Answer: Standing (stationary) waves
(5) Loudness of a note of sound is
[A] Directly proportional to amplitude of the wave
[B] Directly proportional to square of amplitude of wave
[C] Directly proportional to velocity of the wave
[D] Directly proportional to square of velocity of the wave
Answer: Directly proportional to square of amplitude of wave
(6) A resonating column of air contains
[A] Stationary longitudinal waves
[B] Stationary transverse waves
[C] Transverse progressive waves
[D] Longitudinal progressive waves
Answer: Stationary longitudinal waves
(7) To demonstrate the phenomenon of beats we need
[A] Two sources which emit radiation of nearly the same frequency
[B] Two sources which emit radiation of exactly the same frequency
[C] Two sources which emit radiation of exactly the same frequency and have a definite phase relationship
[D] Two sources which emit radiation of exactly the same wavelength
Answer: Two sources which emit radiation of nearly the same frequency
(8) With the increase in temperature, the frequency of the sound from an organ pipe
[A] Decreases
[B] Increases
[C] Remain unchanged
[D] Changes erratically
Answer: Increases
(9) A resonance air column of length 40 cm resonates with a tuning fork of frequency 450 Hz. Ignoring end correction, the velocity of sound in air will be
[A] 720 m/s
[B] 820 m/s
[C] 920 m/s
[D] 1020 m/s
Answer: 720 m/s
(10) Transverse are generated in two uniform wires A and B by attaching their free ends to a vibrating source of frequency 600 Hz. The diameter of wire A is one-third that of wire B and tension in the wire A is double that in wire B. What is the ratio of velocities of waves of waves in wire A and B?
[A] √3 : 2
[B] 2 : √3
[C] 3 : √2
[D] √2 : 3
Answer: √2 : 3
(11) String is in fundamental mode of vibration then velocity is directly proportional to _______
[A] Square root of tension
[B] Square root of length
[C] Square of tension
[D] Square root of linear density
Answer: Square root of tension
(12) With the increase in temperature, the frequency of the sound from an organ pipe
[A] Decreases
[B] Increases
[C] Remain unchanged
[D] Changes erratically
Answer: Increases
(13) An observer is moving towards a stationary source of frequency 250 Hz with a velocity of 40 m/s. If the velocity of sound is 330 m/s, the apparent frequency heard by the observer will be
[A] 320 Hz
[B] 300 Hz
[C] 280 Hz
[D] 260 Hz
Answer: 280 Hz
(14) The frequency of the note produced by plucking a given string increases as
[A] The length of the string increases
[B] The tension in the string increases
[C] The tension in the string decreases
[D] The mass per unit length of the string increases
Answer: The tension in the string increases
(15) A siren placed at a railway platfrom is emitting sound of frequency 5 kHz. A passenger sitting in a moving train A records a frequency of 5.5 kHz while the train approaches the siren. During his return journey in a different train B he records a frequency of 6.0 kHz while approaching the same siren. The ratio of velocity of train B to that of train A is
[A] 242 / 252
[B] 2
[C] 5 / 6
[D] 11 / 6
Answer: 2
(16) Energy is not carried by
[A] Longitudinal progressive waves
[B] Electromagnetic waves
[C] Transverse progressive waves
[D] Stationary wave
Answer: Stationary wave
(17) The equation of wave traveling along string is y = 3 cos p (100t – x) in C.G.S. unit then wavelength is
[A] 1 m
[B] 2 cm
[C] 5 cm
[D] None of above
Answer: 2 cm
(18) When a compression is incident on rigid wall it is reflected as
[A] Compression with a phase change of p
[B] Compression with no phase change
[C] Rarefaction with a phase change of p
[D] Rarefaction with no phase change
Answer: Compression with a phase change of p
(19) Water waves produced by a motorboat sailing in water are
[A] neither longitudinal nor transverse
[B] both longitudinal and transverse
[C] only longitudinal
[D] only transverse
Answer: both longitudinal and transverse
(20) Sound waves of wavelength λ travelling in a medium with a speed of v m/s enter into another medium where its speed is 2v m/s. The wavelength of sound waves in the second medium is
[A] λ
[B] λ/2
[C] 2 λ
[D] 4 λ
Answer: 2 λ

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