Section 1: Introduction to Waves
What do waves primarily transport?
- A) Matter
- B) Energy
- C) Momentum
- D) Mass
- Answer: B
Which type of waves can propagate through a vacuum?
- A) Mechanical waves
- B) Electromagnetic waves
- C) Matter waves
- D) Surface waves
- Answer: B
What type of wave is associated with electrons in quantum mechanics?
- A) Sound waves
- B) Matter waves
- C) Electromagnetic waves
- D) Mechanical waves
- Answer: B
Which of the following is not a mechanical wave?
- A) Sound waves
- B) Light waves
- C) Seismic waves
- D) Water waves
- Answer: B
Who was not involved in the early scientific analysis of wave motion?
- A) Christiaan Huygens
- B) Robert Hooke
- C) Isaac Newton
- D) Albert Einstein
- Answer: D
Section 2: Types of Waves
In transverse waves, particles oscillate:
- A) Parallel to wave propagation
- B) Perpendicular to wave propagation
- C) At an angle to wave propagation
- D) None of the above
- Answer: B
Which waves require a medium for propagation?
- A) Light waves
- B) Sound waves
- C) Electromagnetic waves
- D) Gravitational waves
- Answer: B
Capillary waves are primarily restored by:
- A) Gravity
- B) Surface tension
- C) Elasticity
- D) Pressure
- Answer: B
Which property allows longitudinal waves to propagate in all media?
- A) Shear modulus
- B) Bulk modulus
- C) Surface tension
- D) Density
- Answer: B
The motion of particles in water waves is:
- A) Linear
- B) Circular
- C) Elliptical
- D) Back and forth only
- Answer: C
Section 3: Wave Properties
What is the relation between wavelength () and wave number ()?
- A)
- B)
- C)
- D)
- Answer: A
The speed of a wave () is given by:
- A)
- B)
- C)
- D)
- Answer: B
What is the SI unit of angular frequency ()?
- A) Hz
- B) rad/s
- C) m/s
- D) s
- Answer: B
What does the amplitude of a wave represent?
- A) Frequency of oscillations
- B) Maximum displacement
- C) Phase difference
- D) Speed of the wave
- Answer: B
In a harmonic wave, the phase difference between two successive crests is:
- A) π
- B) 2π
- C) π/2
- D) None of the above
- Answer: B
Section 4: Wave Speed and Superposition
The speed of transverse waves on a string is proportional to:
- A) Tension
- B) Linear mass density
- C) Both tension and linear mass density
- D) Neither tension nor mass density
- Answer: C
What happens to a wave at a rigid boundary?
- A) Phase reversal
- B) Phase doubling
- C) No phase change
- D) Reflection with energy loss
- Answer: A
The principle of superposition states that:
- A) Waves cancel each other out
- B) Resultant displacement is the sum of individual displacements
- C) Waves multiply their amplitudes
- D) None of the above
- Answer: B
Constructive interference occurs when the phase difference is:
- A)
- B)
- C)
- D)
- Answer: B
Standing waves are formed due to:
- A) Reflection
- B) Interference of two waves in opposite directions
- C) Refraction
- D) Diffraction
- Answer: B
Section 5: Applications and Phenomena
The beat frequency is equal to:
- A) Sum of frequencies of two waves
- B) Difference in frequencies of two waves
- C) Product of frequencies of two waves
- D) Average frequency of two waves
- Answer: B
For a closed pipe, the fundamental frequency is:
- A)
- B)
- C)
- D)
- Answer: B
The speed of sound in air increases with:
- A) Pressure
- B) Temperature
- C) Humidity
- D) Both B and C
- Answer: D
The restoring force in longitudinal waves is related to:
- A) Tension
- B) Bulk modulus
- C) Surface tension
- D) Shear modulus
- Answer: B
Beats are most distinct when:
- A) Frequencies are very close
- B) Frequencies are far apart
- C) Amplitudes differ greatly
- D) Waves are in phase
- Answer: A
Section 6: Wave Reflection and Standing Waves
- At an open boundary, a reflected wave:
- A) Undergoes a phase change of π
- B) Undergoes no phase change
- C) Is completely absorbed
- D) Doubles in amplitude
- Answer: B
- The nodes in a standing wave are points where:
- A) Displacement is maximum
- B) Displacement is zero
- C) Amplitude is maximum
- D) Frequency is zero
- Answer: B
- The distance between two consecutive nodes in a stationary wave is:
- A) λ
- B) λ/2
- C) 2λ
- D) λ/4
- Answer: B
- In a string fixed at both ends, the first harmonic frequency is given by:
- A)
- B)
- C)
- D)
- Answer: B
- The superposition of two waves traveling in opposite directions produces:
- A) Progressive waves
- B) Longitudinal waves
- C) Standing waves
- D) Electromagnetic waves
- Answer: C
Section 7: Wave Motion in Different Media
- The speed of a transverse wave on a stretched string depends on:
- A) Length of the string
- B) Tension and linear mass density
- C) Amplitude of the wave
- D) Frequency of the wave
- Answer: B
- For sound waves in a medium, the speed is determined by:
- A) Young’s modulus and mass density
- B) Bulk modulus and density
- C) Surface tension and length
- D) Shear modulus and pressure
- Answer: B
- The speed of sound in a metallic bar is given by:
- A)
- B)
- C)
- D)
- Answer: B
- For air, the speed of sound increases with:
- A) Increased density
- B) Increased pressure
- C) Increased humidity
- D) Decreased temperature
- Answer: C
- Which of these factors does not affect the speed of sound in air?
- A) Pressure
- B) Temperature
- C) Humidity
- D) Density
- Answer: A
Section 8: Mathematical Properties of Waves
- In a wave described by , the term represents:
- A) Wave speed
- B) Angular wave number
- C) Angular frequency
- D) Phase constant
- Answer: B
- The equation describes a:
- A) Stationary wave
- B) Progressive wave
- C) Transverse wave only
- D) Longitudinal wave only
- Answer: B
- The frequency of a wave is inversely proportional to:
- A) Wavelength
- B) Amplitude
- C) Speed
- D) Wave number
- Answer: A
- A progressive wave has a wavelength of 2 m and a frequency of 10 Hz. Its speed is:
- A) 5 m/s
- B) 20 m/s
- C) 10 m/s
- D) 2 m/s
- Answer: B
- The phase difference between two points separated by in a wave is:
- A)
- B)
- C)
- D)
- Answer: A
- The term in the formula for wave speed represents:
- A) Elastic force
- B) Restoring force per unit length
- C) Linear density of the medium
- D) Wave tension and mass density ratio
- Answer: D
Section 9: Beats and Resonance
- The phenomenon of beats occurs when two waves have:
- A) The same frequency
- B) Slightly different frequencies
- C) Amplitudes in phase
- D) Equal wavelengths
- Answer: B
- The beat frequency is given by:
- A)
- B)
- C)
- D)
- Answer: B
- For a pipe closed at one end, only:
- A) Odd harmonics are present
- B) Even harmonics are present
- C) All harmonics are present
- D) No harmonics are present
- Answer: A
- The lowest frequency of a system is called:
- A) Second harmonic
- B) Third harmonic
- C) First harmonic
- D) Resonant frequency
- Answer: C
- In resonance, the frequency of an external source matches:
- A) Wave speed
- B) Natural frequency of the system
- C) Amplitude of the wave
- D) Wavelength of the wave
- Answer: B
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