Wave Mechanics MCQ

Questions

    Wave Mechanics MCQ. We covered all the Wave Mechanics MCQ in this post for free so that you can practice well for the exam.

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    MCQ on Wave Mechanics for NEET Students

    Quick Quiz

    A wire under 256 N tension creates 6 beats per second when tuned with a tuning fork. If the tension is reduced to 225 N and the beat frequency remains the same, what is the frequency of the fork?

    (A) 186 Hz

    (B) 225 Hz

    (C) 256 Hz

    (D) 280 Hz

    Option a – 186 Hz

    At what temperature will hydrogen have the same speed of sound as oxygen at 90 °C?

    (A) -148 °C

    (B) -212.5 °C

    (C) -271.5 °C

    (D) -250.3 °C

    Option d – -250.3 °C

    If the amplitude of a sound wave doubles and its frequency becomes one-fourth, what happens to its intensity?

    (A) increased to double

    (B) increased to four times

    (C) decreased to half

    (D) decreased to one-fourth

    Option d – decreased to one-fourth

    An observer hears frequencies in a 5:3 ratio as a train passes by. What is the train’s speed?

    (A) 540 m/s

    (B) 270 m/s

    (C) 85 m/s

    (D) 52.5 m/s

    Option c – 85 m/s

    What happens when a longitudinal wave reflects from a medium of lower density?

    (A) compression is reflected as a compression

    (B) wave velocity does not reverse

    (C) particle velocity undergoes a phase reversal

    (D) compression is reflected as a rarefaction

    Option d – compression is reflected as a rarefaction

    What does phase reversal imply when a wave is reflected?

    (A) reversal of particle as well as wave velocity

    (B) reversal of particle velocity

    (C) reversal of wave velocity

    (D) no change in particle velocity

    Option b – reversal of particle velocity

    How many nodes and antinodes are formed when the fifth harmonic is produced on a string fixed at both ends?

    (A) 6,5

    (B) 6,6

    (C) 6,7

    (D) 5,5

    Option a – 6,5

    In transverse wave motion, the direction of particle vibration is

    (A) perpendicular to the wave’s direction of travel

    (B) at 30° to the wave direction

    (C) parallel to the wave’s direction of travel

    (D) at 45° to the wave direction

    Option a – perpendicular to the wave’s direction of travel

    A particle on a sinusoidal wave takes 0.03 seconds to go from its maximum position to the mean. What is the wave’s frequency?

    (A) 2.5 Hz

    (B) 4.16 Hz

    (C) 7.5 Hz

    (D) 8.33 Hz

    Option d – 8.33 Hz

    Which of the following expressions represents a traveling wave, assuming a, b, and c are constants?

    (A) y = a cos bx sin ct

    (B) y = a sin bx cos ct

    (C) y = a sin (bx + ct) – a sin (bx – ct)

    (D) y = a sin (bx + ct)

    Option d – y = a sin (bx + ct)

    A wave moves in the positive x-direction and is described by y = 0.5 sin (10t – 2x) meters. What is the wave speed?

    (A) 10 m/s

    (B) 5 m/s

    (C) 20 m/s

    (D) 15 m/s

    Option b – 5 m/s

    Which of the following statements about the frequency of a vibrating string is accurate?

    (A) directly proportional to the length

    (B) inversely proportional to its diameter

    (C) inversely proportional to the tension

    (D) directly proportional to the density

    Option b – inversely proportional to its diameter

    Beats are produced by sitar strings when

    (A) there is a slight difference in their lengths

    (B) they vibrate at slightly different wavelengths

    (C) their amplitudes vary slightly

    (D) their frequencies are the same

    Option b – they vibrate at slightly different wavelengths

    A wave traveling through a medium is given by y(x, t) = 0.05 sin π(2t – 0.01x). Find its wavelength.

    (A) 10 m

    (B) 20 m

    (C) 100 m

    (D) 200 m

    Option d – 200 m

    The harmonic frequencies of a pipe open at both ends are

    (A) only odd multiples of the fundamental

    (B) only even multiples of the fundamental

    (C) all integral multiples of the fundamental

    (D) all fractional multiples of the fundamental

    Option c – all integral multiples of the fundamental

    Two closed organ pipes create 6 beats per second when played together. If the longer one is 1 m, what is the length of the shorter one? (Speed of sound = 300 m/s)

    (A) 185.2 cm

    (B) 92.6 cm

    (C) 90 cm

    (D) 80 cm

    Option b – 92.6 cm

    Assuming helium behaves as an ideal gas and has a density of 0.179 kg/m³ at standard temperature and pressure, what is the approximate speed of sound in helium?

    (A) 752 m/s

    (B) 1030 m/s

    (C) 972 m/s

    (D) 810 m/s

    Option a – 752 m/s

    Two open organ pipes have lengths of 25 cm and 25.5 cm, and they produce 15 beats per second. What is the speed of sound?

    (A) 382.5 m/s

    (B) 350 m/s

    (C) 205 m/s

    (D) 300 m/s

    Option a – 382.5 m/s

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