Oscillations Test

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Oscillations Test - 1

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Question 1
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The total mechanical energy of a harmonic oscillator

A
decreases linearly with time

B
increases quadratically with time

C
is independent of time

D
increases linearly with time
Question 2
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Simple harmonic motion is the projection of

A
non uniform circular motion on a chord of the circle in which the latter motion takes place

B
uniform circular motion on a diameter of the circle in which the latter motion takes place

C
non uniform circular motion on a diameter of the circle in which the latter motion takes place

D
uniform circular motion on a chord of the circle in which the latter motion takes place
Question 3
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Simple harmonic motion is motion represented by

A
x (t) = A log (ωt + φ)

B
x (t) = A exp (ωt + φ)

C
x (t) = A cos (ωt + φ)

D
x (t) = A (ωt + φ)

Solution

Explanation:

Equation of simple harmonic motion is given by

x(t)=A cos⁡(ωt+ϕ)

Where x(t) is the displacement of body at any instant of time

A is the amplitude of the body

(ωt+ϕ) is the phase angle at the instant of time.
Question 4
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Any periodic function can be expressed as a.

A
superposition of sine and cosine functions of same time period with suitable coefficients

B
superposition of polynomial functions of different time periods with suitable coefficients

C
superposition of sine and cosine functions of different time periods with suitable coefficients

D
superposition of exponential functions of real time periods with suitable coefficients
Question 5
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for any periodic motion with a period T and displacement = f(t)

A
f (t) = f (t+5T )

B
f (t) = f (t+3T )

C
f (t) = f (t+2T )

D
f (t) = f (t+T )
Question 6
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Frequency of the periodic motion is

A
twice the reciprocal of the period

B
half the reciprocal of the period

C
thrice the reciprocal of the period

D
the reciprocal of the period
Question 7
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Period of a periodic motion is the ________ interval of time after which the motion is __________.

A
largest, repeated

B
average, repeated

C
mean, not repeated

D
smallest, repeated

Solution

Explanation:

Time period of an oscillatory motion is the smallest interval of time for one complete oscillation.As when we apply the force on the bob,bob moves from mean position to extreme position then form extreme position to mean position and then again from mean to extreme in opposite direction and at last come to mean position.The time taken by bob in this whole process is called period of oscillation.
Question 8
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Periodic motion is

A
motion that does not repeat itself at regular intervals of time

B
motion that repeats itself at regular intervals of time

C
motion that involves coming to a mean position at random intervals of time

D
motion that repeats itself at irregular intervals of time
Question 9
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Oscillatory motion is best described by

A
a rotational motion about an axis

B
a zig zag motion about a straight line

C
periodic to and fro motion

D
combination of translational motion and rotational motion

Solution

Explanation:

In oscillatory motion object moves to and fro about mean position periodically or after a particular interval of time.All oscillatory motions are periodic in nature.
Question 10
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The pendulum of a wall clock executes

A
a circular motion

B
an oscillatory motion

C
a translatory motion

D
a rotary motion

Solution

Explanation:

It executes simple harmonic motion because in this motion restoring force is directly proportional to the displacement towards the mean position at any time.

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Oscillations Test - 1

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Oscillations Test - 1

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Question 1

decreases linearly with time

increases quadratically with time

is independent of time

increases linearly with time

Question 2

non uniform circular motion on a chord of the circle in which the latter motion takes place

uniform circular motion on a diameter of the circle in which the latter motion takes place

non uniform circular motion on a diameter of the circle in which the latter motion takes place

uniform circular motion on a chord of the circle in which the latter motion takes place

Question 3

x (t) = A log (ωt + φ)

x (t) = A exp (ωt + φ)

x (t) = A cos (ωt + φ)

x (t) = A (ωt + φ)

Solution

Question 4

superposition of sine and cosine functions of same time period with suitable coefficients

superposition of polynomial functions of different time periods with suitable coefficients

superposition of sine and cosine functions of different time periods with suitable coefficients

superposition of exponential functions of real time periods with suitable coefficients

Question 5

f (t) = f (t+5T )

f (t) = f (t+3T )

f (t) = f (t+2T )

f (t) = f (t+T )

Question 6

twice the reciprocal of the period

half the reciprocal of the period

thrice the reciprocal of the period

the reciprocal of the period

Question 7

largest, repeated

average, repeated

mean, not repeated

smallest, repeated

Solution

Question 8

motion that does not repeat itself at regular intervals of time

motion that repeats itself at regular intervals of time

motion that involves coming to a mean position at random intervals of time

motion that repeats itself at irregular intervals of time

Question 9

a rotational motion about an axis

a zig zag motion about a straight line

periodic to and fro motion

combination of translational motion and rotational motion

Solution

Question 10

a circular motion

an oscillatory motion

a translatory motion

a rotary motion

Solution

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