Physics

Standing Waves and Nodes MCQs with Answer

What are standing waves?
a) Waves that travel in one direction
b) Waves that move in a circular path
c) Waves that appear to be stationary, with fixed points of no vibration
d) Waves that are formed only in liquids

Answer
c) Waves that appear to be stationary, with fixed points of no vibration

Where do nodes occur in a standing wave?
a) At points where the wave has maximum amplitude
b) At points where the wave has zero amplitude
c) At points where the wave is at equilibrium
d) At points where the wave changes direction

Answer
b) At points where the wave has zero amplitude

Which of the following is true for an antinode in a standing wave?
a) The amplitude is zero
b) The amplitude is maximum
c) The displacement is zero
d) The wave is moving

Answer
b) The amplitude is maximum

What is the distance between two adjacent nodes in a standing wave?
a) Half the wavelength
b) One-fourth of the wavelength
c) The full wavelength
d) One-tenth of the wavelength

Answer
a) Half the wavelength

What happens to the frequency of standing waves when the tension in a string is increased?
a) The frequency decreases
b) The frequency increases
c) The frequency remains unchanged
d) The frequency becomes zero

Answer
b) The frequency increases

How are standing waves formed?
a) When two waves moving in the same direction interfere
b) When two waves of the same frequency interfere in opposite directions
c) When a wave reflects off a boundary
d) When two waves pass through each other without interaction

Answer
b) When two waves of the same frequency interfere in opposite directions

In a vibrating string, what is the location of the nodes?
a) Where the string vibrates the most
b) Where the string does not vibrate at all
c) Where the string has maximum velocity
d) Where the string moves up and down with maximum amplitude

Answer
b) Where the string does not vibrate at all

What is the fundamental frequency of a standing wave on a string?
a) The lowest frequency at which a standing wave can form
b) The highest frequency at which a standing wave can form
c) The frequency of the highest harmonic
d) The frequency of the second harmonic

Answer
a) The lowest frequency at which a standing wave can form

How many nodes are there in the first harmonic of a standing wave on a string?
a) 1
b) 2
c) 3
d) 4

Answer
b) 2

What happens to the amplitude of a standing wave as the harmonic number increases?
a) The amplitude decreases
b) The amplitude remains constant
c) The amplitude increases
d) The amplitude becomes zero

Answer
b) The amplitude remains constant

What is a characteristic of a node in a standing wave?
a) It has the maximum displacement
b) It has the maximum speed
c) It is a point of no displacement
d) It is a point of maximum energy

Answer
c) It is a point of no displacement

Where do antinodes occur in a standing wave?
a) Where the displacement is zero
b) Where the wave has maximum velocity
c) Where the displacement is maximum
d) Where the displacement is at its average value

Answer
c) Where the displacement is maximum

How many nodes are present in the second harmonic of a standing wave on a string?
a) 2
b) 3
c) 4
d) 5

Answer
b) 3

How does the tension in a string affect the frequency of standing waves?
a) The higher the tension, the lower the frequency
b) The higher the tension, the higher the frequency
c) Tension has no effect on the frequency
d) Frequency is independent of tension

Answer
b) The higher the tension, the higher the frequency

Which harmonic has the greatest number of nodes in a standing wave on a string?
a) First harmonic
b) Second harmonic
c) Third harmonic
d) Higher harmonics

Answer
d) Higher harmonics

What is the relationship between the wavelength and frequency in standing waves on a string?
a) Wavelength and frequency are inversely proportional
b) Wavelength and frequency are directly proportional
c) Wavelength and frequency are unrelated
d) Wavelength is always greater than frequency

Answer
a) Wavelength and frequency are inversely proportional

In a standing wave, how do the positions of the nodes change with an increase in the frequency?
a) The nodes move closer together
b) The nodes move farther apart
c) The nodes remain stationary
d) The nodes disappear

Answer
a) The nodes move closer together

What does the number of nodes in a standing wave depend on?
a) The speed of the wave
b) The amplitude of the wave
c) The frequency and wavelength of the wave
d) The color of the wave

Answer
c) The frequency and wavelength of the wave

What is the condition for the formation of a standing wave in a pipe closed at one end?
a) The pipe must be open at both ends
b) The pipe must be closed at both ends
c) The pipe must be closed at one end and open at the other
d) The pipe must have a length equal to the wavelength

Answer
c) The pipe must be closed at one end and open at the other

What is the frequency of the second harmonic of a standing wave on a string?
a) Double the frequency of the first harmonic
b) Half the frequency of the first harmonic
c) Equal to the frequency of the first harmonic
d) Four times the frequency of the first harmonic

Answer
a) Double the frequency of the first harmonic

What happens to the frequency of a standing wave if the length of the vibrating string is increased?
a) The frequency increases
b) The frequency decreases
c) The frequency remains the same
d) The frequency becomes zero

Answer
b) The frequency decreases

What type of wave is a standing wave?
a) Transverse wave
b) Longitudinal wave
c) Both transverse and longitudinal waves
d) Only sound waves

Answer
a) Transverse wave

Which of the following is an example of a standing wave?
a) Light waves from a flashlight
b) Water waves traveling towards the shore
c) Vibrations on a stringed instrument
d) Radio waves traveling through space

Answer
c) Vibrations on a stringed instrument

What is the harmonic series in a standing wave on a string?
a) A sequence of wavelengths that correspond to increasing amplitudes
b) A sequence of frequencies that form the overtones of the fundamental frequency
c) A sequence of nodes in the wave
d) A sequence of moving wave patterns

Answer
b) A sequence of frequencies that form the overtones of the fundamental frequency

In a standing wave, how is the energy distributed?
a) Energy is uniformly distributed across the wave
b) Energy is concentrated at the nodes
c) Energy is concentrated at the antinodes
d) Energy is only present at the ends of the wave

Answer
c) Energy is concentrated at the antinodes

How is the wavelength of the second harmonic related to the wavelength of the first harmonic in a standing wave on a string?
a) It is half the wavelength of the first harmonic
b) It is the same as the wavelength of the first harmonic
c) It is twice the wavelength of the first harmonic
d) It is four times the wavelength of the first harmonic

Answer
a) It is half the wavelength of the first harmonic

In a string under tension, what happens to the frequency of the standing wave when the tension is reduced?
a) The frequency increases
b) The frequency remains the same
c) The frequency decreases
d) The frequency becomes zero

Answer
c) The frequency decreases

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