Test: Waves-1

Question 1

A progressive transverse wave travelling along a string is represented by y = 0.05 sin(4πt - 0.02πx), where y and x are in meters and t is in seconds. The speed of the wave is:

Accepted Answer

200 m/s

Answer

50 m/s

Answer

100 m/s

Answer

400 m/s

Question 2

Two waves of equal frequency and amplitude travelling in opposite directions along a string combine to produce a standing wave. If the amplitude of each wave is A, the amplitude of the standing wave at an antinode is:

Accepted Answer

2A

Answer

A

Answer

A/2

Answer

√2 A

Question 3

A string of length L is fixed at both ends and vibrates in its fundamental mode. The wavelength of the standing wave formed is:

Accepted Answer

2L

Answer

L/2

Answer

L

Answer

4L

Question 4

Which of the following statements regarding longitudinal and transverse waves are correct?
A. Sound waves in air are transverse waves.
B. Light waves are transverse waves.
C. In longitudinal waves, particles vibrate perpendicular to the direction of wave propagation.
D. In transverse waves, particles vibrate perpendicular to the direction of wave propagation.
E. Water waves are purely longitudinal waves.

Accepted Answer

B and D only

Answer

A, C and E only

Answer

B, C and D only

Answer

A and E only

Question 5

An organ pipe closed at one end has a fundamental frequency of 256 Hz. If the speed of sound in air is 340 m/s, the length of the pipe is approximately:

Accepted Answer

0.33 m

Answer

0.66 m

Answer

1.32 m

Answer

2.64 m

Question 6

Two sound sources produce waves of frequencies 300 Hz and 304 Hz respectively. The beat frequency heard is:

Accepted Answer

4 Hz

Answer

2 Hz

Answer

8 Hz

Answer

604 Hz

Question 7

Match List-I with List-II:

List-I (Wave Property)	List-II (Description)
(A) Superposition	(I) Formation of stationary waves
(B) Reflection	(II) Combination of two or more waves
(C) Standing waves	(III) Wave bouncing back from a boundary
(D) Beats	(IV) Periodic variation in amplitude

Accepted Answer

A-II, B-III, C-I, D-IV

Answer

A-I, B-II, C-III, D-IV

Answer

A-III, B-I, C-II, D-IV

Answer

A-IV, B-III, C-I, D-II

Question 8

A string fixed at both ends vibrates in 5 segments. If the fundamental frequency is f, the frequency of this mode of vibration is:

Accepted Answer

5f

Answer

f

Answer

3f

Answer

7f

Question 9

The displacement of a particle in a progressive wave is given by y = A sin(ωt - kx). The quantity (ωt - kx) represents:

Accepted Answer

The phase of the wave

Answer

The amplitude of the wave

Answer

The wavelength of the wave

Answer

The frequency of the wave

Question 10

An open organ pipe and a closed organ pipe have the same fundamental frequency. The ratio of their lengths (L_open : L_closed) is:

Accepted Answer

2 : 1

Answer

1 : 1

Answer

1 : 2

Answer

4 : 1

Question 11

A wave travels along a string with a speed of 20 m/s. If the frequency of the wave is 50 Hz, the wavelength is:

Accepted Answer

0.4 m

Answer

0.2 m

Answer

2.5 m

Answer

1000 m

Question 12

Which of the following statements about standing waves in strings are correct?
A. Nodes are points of maximum displacement.
B. Antinodes are points of maximum displacement.
C. The distance between consecutive nodes is λ/2.
D. The distance between a node and adjacent antinode is λ/4.
E. All particles between two consecutive nodes vibrate in the same phase.

Accepted Answer

B, C, D and E only

Answer

A, C and D only

Answer

B and C only

Answer

C, D and E only

Question 13

The equation of a transverse wave is y = 5 sin(100πt - 0.5πx), where x and y are in cm and t is in seconds. The maximum velocity of a particle in the medium is:

Accepted Answer

500π cm/s

Answer

250π cm/s

Answer

50π cm/s

Answer

100π cm/s

Question 14

A closed organ pipe produces its first overtone at a frequency of 450 Hz. The fundamental frequency of the same pipe is:

Accepted Answer

150 Hz

Answer

225 Hz

Answer

300 Hz

Answer

900 Hz

Question 15

Two waves are represented by y₁ = A sin(ωt - kx) and y₂ = A sin(ωt + kx). When these waves superpose, they produce:

Accepted Answer

A standing wave

Answer

A progressive wave

Answer

Beats

Answer

No resultant wave

Question 16

The speed of a transverse wave in a stretched string depends on:

Accepted Answer

Tension in the string and mass per unit length

Answer

Frequency of the wave only

Answer

Wavelength of the wave only

Answer

Amplitude of the wave

Question 17

Match List-I with List-II:

List-I (Wave Property)	List-II (Description)
(A) Superposition	(I) Formation of stationary waves
(B) Reflection	(II) Combination of two or more waves
(C) Standing waves	(III) Wave bouncing back from a boundary
(D) Beats	(IV) Periodic variation in amplitude

Accepted Answer

A-II, B-I, C-III, D-IV

Answer

A-I, B-II, C-IV, D-III

Answer

A-II, B-I, C-IV, D-III

Answer

A-I, B-II, C-III, D-IV

Question 18

Two tuning forks produce 6 beats per second when sounded together. If the frequency of one fork is 256 Hz, the frequency of the other fork could be:

Accepted Answer

250 Hz or 262 Hz

Answer

256 Hz only

Answer

262 Hz only

Answer

250 Hz only

Question 19

A string of length 1 m fixed at both ends is vibrating in its third harmonic. The number of nodes present in the vibrating string is:

Accepted Answer

4

Answer

2

Answer

3

Answer

5

Question 20

The principle of superposition of waves states that when two or more waves overlap, the resultant displacement at any point is:

Accepted Answer

The algebraic sum of individual displacements

Answer

The product of individual displacements

Answer

The difference of individual displacements

Answer

The average of individual displacements

Question 21

A progressive wave is represented by y = 10 sin(200t - x), where x and y are in meters and t in seconds. The wavelength of this wave is:

Accepted Answer

2π m

Answer

π m

Answer

4π m

Answer

6π m

Question 22

Which of the following conditions are necessary for the formation of beats?
A. The two waves must have the same amplitude.
B. The two waves must travel in the same direction.
C. The two waves must have nearly equal frequencies.
D. The frequency difference must be small enough to be detected by the ear.
E. The two waves must be coherent.

Accepted Answer

B, C and D only

Answer

A, B and C only

Answer

C and D only

Answer

A, C, D and E only

Question 23

An open organ pipe has a fundamental frequency of 300 Hz. When one end is closed, the fundamental frequency becomes:

Accepted Answer

150 Hz

Answer

300 Hz

Answer

600 Hz

Answer

450 Hz

Question 24

A wave is reflected from a rigid boundary. The phase change upon reflection is:

Accepted Answer

π

Answer

0

Answer

π/4

Answer

π/2

Question 25

The displacement relation for a progressive wave travelling in the positive x-direction is y = A sin(ωt - kx + φ). If the wave travels in the negative x-direction instead, the displacement relation becomes:

Accepted Answer

y = A sin(ωt + kx + φ)

Answer

y = A sin(ωt - kx - φ)

Answer

y = -A sin(ωt - kx + φ)

Answer

y = A cos(ωt - kx + φ)

List-I (Pipe Type/Mode)	List-II (Harmonic Frequencies)
(A) Open pipe	(I) Odd harmonics only
(B) Closed pipe	(II) All harmonics
(C) Fundamental mode in closed pipe	(III) Length = λ/4
(D) First overtone in open pipe	(IV) Length = λ

Waves-1 - Free MCQ Practice Test with solutions, NEET Physics Class 11

MCQ Practice Test & Solutions: Test: Waves-1 (25 Questions)

A progressive transverse wave travelling along a string is represented by y = 0.05 sin(4πt - 0.02πx), where y and x are in meters and t is in seconds. The speed of the wave is:

Two waves of equal frequency and amplitude travelling in opposite directions along a string combine to produce a standing wave. If the amplitude of each wave is A, the amplitude of the standing wave at an antinode is:

A string of length L is fixed at both ends and vibrates in its fundamental mode. The wavelength of the standing wave formed is:

An organ pipe closed at one end has a fundamental frequency of 256 Hz. If the speed of sound in air is 340 m/s, the length of the pipe is approximately:

Two sound sources produce waves of frequencies 300 Hz and 304 Hz respectively. The beat frequency heard is:

Match List-I with List-II:
List-I (Wave Property) List-II (Description)
(A) Superposition (I) Formation of stationary waves
(B) Reflection (II) Combination of two or more waves
(C) Standing waves (III) Wave bouncing back from a boundary
(D) Beats (IV) Periodic variation in amplitude

A string fixed at both ends vibrates in 5 segments. If the fundamental frequency is f, the frequency of this mode of vibration is:

The displacement of a particle in a progressive wave is given by y = A sin(ωt - kx). The quantity (ωt - kx) represents:

An open organ pipe and a closed organ pipe have the same fundamental frequency. The ratio of their lengths (L_open : L_closed) is:

A wave travels along a string with a speed of 20 m/s. If the frequency of the wave is 50 Hz, the wavelength is:

The equation of a transverse wave is y = 5 sin(100πt - 0.5πx), where x and y are in cm and t is in seconds. The maximum velocity of a particle in the medium is:

A closed organ pipe produces its first overtone at a frequency of 450 Hz. The fundamental frequency of the same pipe is:

Two waves are represented by y₁ = A sin(ωt - kx) and y₂ = A sin(ωt + kx). When these waves superpose, they produce:

The speed of a transverse wave in a stretched string depends on:

Match List-I with List-II:
List-I (Pipe Type/Mode) List-II (Harmonic Frequencies)
(A) Open pipe (I) Odd harmonics only
(B) Closed pipe (II) All harmonics
(C) Fundamental mode in closed pipe (III) Length = λ/4
(D) First overtone in open pipe (IV) Length = λ

Two tuning forks produce 6 beats per second when sounded together. If the frequency of one fork is 256 Hz, the frequency of the other fork could be:

A string of length 1 m fixed at both ends is vibrating in its third harmonic. The number of nodes present in the vibrating string is:

The principle of superposition of waves states that when two or more waves overlap, the resultant displacement at any point is:

A progressive wave is represented by y = 10 sin(200t - x), where x and y are in meters and t in seconds. The wavelength of this wave is:

An open organ pipe has a fundamental frequency of 300 Hz. When one end is closed, the fundamental frequency becomes:

A wave is reflected from a rigid boundary. The phase change upon reflection is:

The displacement relation for a progressive wave travelling in the positive x-direction is y = A sin(ωt - kx + φ). If the wave travels in the negative x-direction instead, the displacement relation becomes:

Physics Class 11

Physics Class 11

Top Courses for NEET

About this NEET Practice Test

Explore more NEET Study Resources

Waves-1 - Free MCQ Practice Test with solutions, NEET Physics Class 11

MCQ Practice Test & Solutions: Test: Waves-1 (25 Questions)

A progressive transverse wave travelling along a string is represented by y = 0.05 sin(4πt - 0.02πx), where y and x are in meters and t is in seconds. The speed of the wave is:

Two waves of equal frequency and amplitude travelling in opposite directions along a string combine to produce a standing wave. If the amplitude of each wave is A, the amplitude of the standing wave at an antinode is:

A string of length L is fixed at both ends and vibrates in its fundamental mode. The wavelength of the standing wave formed is:

An organ pipe closed at one end has a fundamental frequency of 256 Hz. If the speed of sound in air is 340 m/s, the length of the pipe is approximately:

Two sound sources produce waves of frequencies 300 Hz and 304 Hz respectively. The beat frequency heard is:

Match List-I with List-II:List-I (Wave Property)List-II (Description)(A) Superposition(I) Formation of stationary waves(B) Reflection(II) Combination of two or more waves(C) Standing waves(III) Wave bouncing back from a boundary(D) Beats(IV) Periodic variation in amplitude

A string fixed at both ends vibrates in 5 segments. If the fundamental frequency is f, the frequency of this mode of vibration is:

The displacement of a particle in a progressive wave is given by y = A sin(ωt - kx). The quantity (ωt - kx) represents:

An open organ pipe and a closed organ pipe have the same fundamental frequency. The ratio of their lengths (L_open : L_closed) is:

A wave travels along a string with a speed of 20 m/s. If the frequency of the wave is 50 Hz, the wavelength is:

The equation of a transverse wave is y = 5 sin(100πt - 0.5πx), where x and y are in cm and t is in seconds. The maximum velocity of a particle in the medium is:

A closed organ pipe produces its first overtone at a frequency of 450 Hz. The fundamental frequency of the same pipe is:

Two waves are represented by y₁ = A sin(ωt - kx) and y₂ = A sin(ωt + kx). When these waves superpose, they produce:

The speed of a transverse wave in a stretched string depends on:

Match List-I with List-II:List-I (Pipe Type/Mode)List-II (Harmonic Frequencies)(A) Open pipe(I) Odd harmonics only(B) Closed pipe(II) All harmonics(C) Fundamental mode in closed pipe(III) Length = λ/4(D) First overtone in open pipe(IV) Length = λ

Two tuning forks produce 6 beats per second when sounded together. If the frequency of one fork is 256 Hz, the frequency of the other fork could be:

A string of length 1 m fixed at both ends is vibrating in its third harmonic. The number of nodes present in the vibrating string is:

The principle of superposition of waves states that when two or more waves overlap, the resultant displacement at any point is:

A progressive wave is represented by y = 10 sin(200t - x), where x and y are in meters and t in seconds. The wavelength of this wave is:

An open organ pipe has a fundamental frequency of 300 Hz. When one end is closed, the fundamental frequency becomes:

A wave is reflected from a rigid boundary. The phase change upon reflection is:

The displacement relation for a progressive wave travelling in the positive x-direction is y = A sin(ωt - kx + φ). If the wave travels in the negative x-direction instead, the displacement relation becomes:

Physics Class 11

Physics Class 11

Top Courses for NEET

About this NEET Practice Test

Explore more NEET Study Resources

Match List-I with List-II:
List-I (Wave Property) List-II (Description)
(A) Superposition (I) Formation of stationary waves
(B) Reflection (II) Combination of two or more waves
(C) Standing waves (III) Wave bouncing back from a boundary
(D) Beats (IV) Periodic variation in amplitude

Match List-I with List-II:
List-I (Pipe Type/Mode) List-II (Harmonic Frequencies)
(A) Open pipe (I) Odd harmonics only
(B) Closed pipe (II) All harmonics
(C) Fundamental mode in closed pipe (III) Length = λ/4
(D) First overtone in open pipe (IV) Length = λ