Statement: Resonance is a special case of forced vibration in which the nature and frequency of vibration of the body are the same as the impressed frequency and the amplitude of forced vibration, is maximum.

Reason: The amplitude of forced vibrations of a body increases with an increase in the frequency of the externally impressed periodic force.

Both statement and reason are true and the reason is the correct explanation of the statement

Both statement and reason are true but the reason is not the correct explanation of the statement

Statement is true, but the reason is false

In forced oscillation of a particle, the amplitude is maximum for a frequency ω1 of the force, while the energy is maximum for a frequency ω2 of the force. Then ___________

ω1 is lesser than ω2, when damping is small and ω1 is greater than ω2, when damping is large

Explore topic-wise MCQs in Engineering Physics Questions and Answers.

This section includes 5 Mcqs, each offering curated multiple-choice questions to sharpen your Engineering Physics Questions and Answers knowledge and support exam preparation. Choose a topic below to get started.

1.	Statement: Resonance is a special case of forced vibration in which the nature and frequency of vibration of the body are the same as the impressed frequency and the amplitude of forced vibration, is maximum.
A.	Reason: The amplitude of forced vibrations of a body increases with an increase in the frequency of the externally impressed periodic force.
B.	Both statement and reason are true and the reason is the correct explanation of the statement
C.	Both statement and reason are true but the reason is not the correct explanation of the statement
D.	Statement is true, but the reason is false
E.	Statement and reason are false
Answer» D. Statement is true, but the reason is false

Discussion

2.	In forced oscillation of a particle, the amplitude is maximum for a frequency ω1 of the force, while the energy is maximum for a frequency ω2 of the force. Then ___________
A.	ω1=ω2
B.	ω1 is lessed than ω2
C.	ω1 is lesser than ω2, when damping is small and ω1 is greater than ω2, when damping is large
D.	ω1 is lesser than ω2
Answer» B. ω1 is lessed than ω2

Discussion

3.	Two bodies M and N of equal masses are suspended from separate massless spring of spring constants k1 and k2 respectively. If the two bodies oscillate vertically such that their maximum velocities are equal, the ratio of the amplitude of variation of M to that of N is?
A.	k1/k2
B.	√(k1/k2)
C.	k2/k1
D.	√(k2/k1)
Answer» E.

Discussion

4.	A particle executes simple harmonic motion with an angular velocity of 3.5 rad/sec and maximum velocity acceleration 7.5 m/s2 respectively. What is the amplitude of oscillations?
A.	0.28m
B.	0.36m
C.	0.707m
D.	Zero
Answer» E.

Discussion

5.	A spring of spring constant 5×103N/m is stretched initially by 5cm from the unstretched position. Then the work done to stretch is further by another 5cm is?
A.	6.25Nm
B.	12.50Nm
C.	18.75Nm
D.	25Nm
Answer» D. 25Nm

Discussion

Explore topic-wise MCQs in Engineering Physics Questions and Answers.

Statement: Resonance is a special case of forced vibration in which the nature and frequency of vibration of the body are the same as the impressed frequency and the amplitude of forced vibration, is maximum.

In forced oscillation of a particle, the amplitude is maximum for a frequency ω1 of the force, while the energy is maximum for a frequency ω2 of the force. Then ___________

Two bodies M and N of equal masses are suspended from separate massless spring of spring constants k1 and k2 respectively. If the two bodies oscillate vertically such that their maximum velocities are equal, the ratio of the amplitude of variation of M to that of N is?

A particle executes simple harmonic motion with an angular velocity of 3.5 rad/sec and maximum velocity acceleration 7.5 m/s2 respectively. What is the amplitude of oscillations?

A spring of spring constant 5×103N/m is stretched initially by 5cm from the unstretched position. Then the work done to stretch is further by another 5cm is?