Oscillations Test

Result

Oscillations Test - 24

Score
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Weekly Quiz Competition

Question 1
4 / -1

Statement – 1 : The periodic time of a S.H.O. depends on its amplitude and force constant.
Statement – 2 : The elasticity and inertia decides the frequency of S.H.O.

A
Statement – 1 is true, statement – 2 is true; statement – 2 is the correct explanation of statement – 1

B
Statement – 1 is true, statement – 2 is true but statement – 2 is not the correct explanation of statement – 1

C
Statement – 1 is true, statement – 2 is false

D
Statement – 1 is false, statement – 2 is true
Question 2
4 / -1

Statement – 1: If the length of a simple pendulum is increased by 3%, then the periodic time changes by 1.5%.
Statement – 2: Periodic time of a simple pendulum is proportional to its length.

A
Statement – 1 is true, statement – 2 is true; statement – 2 is the correct explanation of statement – 1

B
Statement – 1 is true, statement – 2 is true but statement – 2 is not the correct explanation of statement – 1

C
Statement – 1 is true, statement – 2 is false

D
Statement – 1 is false, statement – 2 is true

Solution
Question 3
4 / -1

Statement – 1 : The amplitude of an oscillator decreases with time.
Statement – 2 : The frequency of an oscillator decreases with time.

A
Statement – 1 is true, statement – 2 is true; statement – 2 is the correct explanation of statement – 1

B
Statement – 1 is true, statement – 2 is true but statement – 2 is not the correct explanation of statement – 1

C
Statement – 1 is true, statement – 2 is false

D
Statement – 1 is false, statement – 2 is true
Question 4
4 / -1

Statement – 1 : For a particle executing SHM, the amplitude and phase is decided by its initial position and initial velocity.
Statement – 2 : In a SHM, the amplitude and phase is dependent on the restoring force.

A
Statement – 1 is true, statement – 2 is true; statement – 2 is the correct explanation of statement – 1

B
Statement – 1 is true, statement – 2 is true but statement – 2 is not the correct explanation of statement – 1

C
Statement – 1 is true, statement – 2 is false

D
Statement – 1 is false, statement – 2 is true
Question 5
4 / -1

As shown in figure, two light springs having force constants k₁ = 1.8 N m^–1 and k₂ = 3.2 N m^–1 and a block having mass m = 200 g are placed on a frictionless horizontal surface. One end of both springs are attached to rigid supports. The distance between the free ends of the spring is 60 cm and the block is moving in this gap with a speed v = 120 cm s^–1
When the block is moving towards k₁, what will be the time taken for it to get maximum compressed from point C?

A
p s

B
(2/3) s

C
(p/3) s

D
(p/4) s

Solution
Question 6
4 / -1

As shown in figure, two light springs having force constants k₁ = 1.8 N m^–1 and k₂ = 3.2 N m^–1 and a block having mass m = 200 g are placed on a frictionless horizontal surface. One end of both springs are attached to rigid supports. The distance between the free ends of the spring is 60 cm and the block is moving in this gap with a speed v = 120 cm s^–1
What will be the periodic time of the block, between the two springs?

A
1+ (5p/6) s

B
1+ (7p/6) s

C
1+ (5p/12) s

D
1+ (7p/12) s
Question 7
4 / -1

A block having mass M is placed on a horizontal frictionless surface. This mass is attached to one end of a spring having force constant k. The other end of the spring is attached to a rigid wall. This system consisting of spring and mass M is executing SHM with amplitude A and frequency f. When the block is passing through the mid-point of its path of motion, a body of mass m is placed on top of it, as a result of which its amplitude and frequency changes to A’ and f’.

A

B

C

D

Solution
Question 8
4 / -1

A block having mass M is placed on a horizontal frictionless surface. This mass is attached to one end of a spring having force constant k. The other end of the spring is attached to a rigid wall. This system consisting of spring and mass M is executing SHM with amplitude A and frequency f. When the block is passing through the mid-point of its path of motion, a body of mass m is placed on top of it, as a result of which its amplitude and frequency changes to A’ and f’.

A

B

C

D
Question 9
4 / -1

The equation for displacement of a particle at time t is given by the equation y = 3Cos2t + 4Sin2t..
The motion of the particle is .........

A
Damped motion

B
Periodic motion

C
Rotational motion

D
S.H.M.

Solution
Question 10
4 / -1

The equation for displacement of a particle at time t is given by the equation y = 3Cos2t + 4Sin2t..
The periodic time of oscillation is .........

A
2 s

B
p s

C
(p/2) s

D
2p s

Solution