MCQs / Physics / Superposition, Stationary Waves and Beats

Superposition, Stationary Waves and Beats MCQs — Physics (page 6)

150 multiple-choice questions on Superposition, Stationary Waves and Beats from Physics, each with the correct answer and, where available, a teacher's explanation. Read through them to revise the chapter, then practise the same questions one by one to test yourself.

126. Two coherent sources can have:

  1. a constant non-zero phase difference
  2. different frequencies
  3. only zero phase difference
  4. a random phase difference

Answer: A) a constant non-zero phase difference

Explanation: Phase difference must be constant, not necessarily zero. SLO P-11-D-14 · Understanding

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127. Two tuning forks of 440 Hz and 443 Hz are sounded together. The number of beats heard per second is:

  1. 442
  2. 6
  3. 3
  4. 883

Answer: C) 3

Explanation: Beat frequency = f1 - f2 = 3 Hz. SLO P-11-D-15 · Understanding

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128. The phase difference between the noise and the anti-noise should be:

  1. pi4 rad
  2. 2pi rad
  3. pi rad
  4. 0 rad

Answer: C) pi rad

Explanation: Antiphase. SLO P-11-D-09 · Understanding

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129. Particles in adjacent loops of a stationary wave vibrate:

  1. in antiphase
  2. with 90^circ phase difference
  3. with no motion
  4. in phase

Answer: A) in antiphase

Explanation: One loop goes up while the next goes down. SLO P-11-D-11 · Understanding

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130. Two identical waves interfere completely destructively. The resultant amplitude is:

  1. zero
  2. the same as one wave
  3. half
  4. double

Answer: A) zero

Explanation: They cancel. SLO P-11-D-08 · Understanding

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131. When two sounds produce beats, the pitch heard is:

  1. zero
  2. the average of the two frequencies
  3. the sum of the frequencies
  4. the difference of the frequencies

Answer: B) the average of the two frequencies

Explanation: The 'carrier' frequency. SLO P-11-D-15 · Understanding

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132. In the microwave experiment, the distance moved by the detector between two successive minima is 1.6 cm. The microwave frequency is (c = 3 10^8 m/s):

  1. 4.7 10^9 Hz
  2. 9.4 10^9 Hz
  3. 1.9 10^10 Hz
  4. 1.6 10^10 Hz

Answer: B) 9.4 10^9 Hz

Explanation: lambda = 3.2 cm; f = c/lambda = 9.4 10^9 Hz. SLO P-11-D-10 · Application

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133. Two instruments play together with 6 beats in 2 seconds. Their frequency difference is:

  1. 6 Hz
  2. 12 Hz
  3. 3 Hz
  4. 2 Hz

Answer: C) 3 Hz

Explanation: fb = 6/2. SLO P-11-D-16 · Application

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134. Behind a small obstacle in a ripple tank, waves:

  1. leave a perfectly sharp shadow
  2. speed up
  3. reflect only
  4. bend round into the 'shadow' region

Answer: D) bend round into the 'shadow' region

Explanation: Diffraction round obstacles. SLO P-11-D-13 · Understanding

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135. Ordinary light from a filament lamp is incoherent because:

  1. it has only one frequency
  2. it is polarized
  3. atoms emit light randomly and independently
  4. it is very weak

Answer: C) atoms emit light randomly and independently

Explanation: Short, random wave trains. SLO P-11-D-14 · Understanding

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136. A string of length 0.8 m fixed at both ends carries waves at 320 m/s. Its fundamental frequency is:

  1. 200 Hz
  2. 800 Hz
  3. 400 Hz
  4. 100 Hz

Answer: A) 200 Hz

Explanation: f1 = v2L = 3202(0.8) = 200 Hz. SLO P-11-D-12 · Understanding

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137. The coherence of a source is important in:

  1. holography
  2. sunbathing
  3. photographs with flash
  4. ordinary room lighting

Answer: A) holography

Explanation: Holograms need laser light. SLO P-11-D-14 · Understanding

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138. In a microwave stationary-wave experiment, adjacent nodes are 1.4 cm apart. The wavelength of the microwaves is:

  1. 5.6 cm
  2. 2.8 cm
  3. 11.2 cm
  4. 1.4 cm

Answer: B) 2.8 cm

Explanation: Node to node = lambda2, so lambda = 2 1.4 = 2.8 cm. SLO P-11-D-10 · Application

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139. A string of length 1.2 m fixed at both ends vibrates in 3 loops. The wavelength is:

  1. 0.4 m
  2. 0.8 m
  3. 1.6 m
  4. 3.6 m

Answer: B) 0.8 m

Explanation: Each loop is lambda2: lambda = 2Ln = 0.8 m. SLO P-11-D-10 · Application

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140. A pipe open at both ends produces:

  1. only odd harmonics
  2. only even harmonics
  3. all harmonics (1 : 2 : 3 …)
  4. no harmonics

Answer: C) all harmonics (1 : 2 : 3 …)

Explanation: Antinodes at both ends. SLO P-11-D-12 · Understanding

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141. In Melde's experiment (vibrating string), the stationary wave is set up by:

  1. two separate vibrators
  2. wind
  3. sound from a loudspeaker
  4. waves reflected from the fixed end overlapping the incident waves

Answer: D) waves reflected from the fixed end overlapping the incident waves

Explanation: Reflection at the pulley end. SLO P-11-D-10 · Application

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142. During diffraction, the wavelength of the waves:

  1. increases
  2. stays the same
  3. decreases
  4. becomes zero

Answer: B) stays the same

Explanation: Speed and frequency are unchanged. SLO P-11-D-13 · Understanding

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143. In the example above, sticking wax on the unknown fork (lowering its frequency) increases the beats to 5/s. The unknown frequency was:

  1. 397 Hz
  2. 405 Hz
  3. 403 Hz
  4. 395 Hz

Answer: A) 397 Hz

Explanation: Lowering 397 Hz moves it further from 400 Hz. SLO P-11-D-15 · Understanding

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144. Destructive interference in noise-cancelling headphones means the energy of the noise is:

  1. converted into electric charge
  2. converted into light
  3. destroyed completely
  4. not destroyed — energy is redistributed or not delivered to the ear

Answer: D) not destroyed — energy is redistributed or not delivered to the ear

Explanation: Energy is conserved. SLO P-11-D-09 · Understanding

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145. In a graph showing two waves travelling in opposite directions, at the instant they are exactly in phase the resultant:

  1. is zero everywhere
  2. has the same amplitude as one wave
  3. is a straight line
  4. has twice the amplitude of each wave at the antinodes

Answer: D) has twice the amplitude of each wave at the antinodes

Explanation: Maximum displacement instant. SLO P-11-D-11 · Understanding

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146. Which waves would diffract most through a 1 m doorway?

  1. visible light
  2. ultraviolet
  3. sound of wavelength 1 m
  4. X-rays

Answer: C) sound of wavelength 1 m

Explanation: Wavelength ≈ gap. SLO P-11-D-13 · Understanding

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147. If the anti-noise wave were in phase with the noise, the listener would hear:

  1. louder noise
  2. no change
  3. silence
  4. a higher pitch

Answer: A) louder noise

Explanation: Constructive interference. SLO P-11-D-09 · Understanding

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148. A string of length 1 m fixed at both ends carries waves at 100 m/s. Its fundamental frequency is:

  1. 50 Hz
  2. 200 Hz
  3. 25 Hz
  4. 100 Hz

Answer: A) 50 Hz

Explanation: f1 = v2L = 1002(1) = 50 Hz. SLO P-11-D-12 · Understanding

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149. When light passes through a single narrow slit, the pattern on a screen is:

  1. a single sharp line
  2. a broad central bright band with weaker bands either side
  3. a uniform bright patch
  4. complete darkness

Answer: B) a broad central bright band with weaker bands either side

Explanation: Single-slit diffraction. SLO P-11-D-13 · Understanding

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150. After two wave pulses pass through each other, they:

  1. reverse direction
  2. merge into one pulse
  3. are destroyed
  4. continue with their original shapes

Answer: D) continue with their original shapes

Explanation: Superposition is temporary. SLO P-11-D-07 · Application

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