Oscillations Test

Result

Oscillations Test - 37

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Weekly Quiz Competition

Question 1
4 / -1

A block is placed on a frictionless horizontal table. The mass of the block is m and springs are attached on either side with force constants K₁. and K₂. If the block is displaced a little and left to oscillate, then the angular frequency of oscillation will be

A

B

C

D

Solution
Question 2
4 / -1

A mass m = 100 g is attached at the end of a light spring which oscillates on a frictionless horizontal table with an amplitude equal to 0.16 metre and time period equal to 2 sec. Initially the mass is released from rest at t = 0 and displacement x = – 0.16 metre. The expression for the displacement of the mass at any time t is

A
x = 0.16 cos (πt )

B
x = – 0.16 cos (πt)

C
x = 0.16 sin (πt + π)

D
x = – 0.16 sin (πt + π)

Solution
Question 3
4 / -1

A block of mass m, attached to a spring of spring constant k, oscillates on a smooth horizontal table. The other end of the spring is fixed to a wall. The block has a speed v when the spring is at its natural length. Before coming to an instantaneous rest, if the block moves a distance x from the mean position, then

A

B

C

D

Solution
Question 4
4 / -1

The force constants of two springs are K₁ and K₂. Both are stretched till their elastic energies are equal. If the stretching forces are F₁ and F₂, then F₁ : F₂ is

A

B

C

D

Solution
Question 5
4 / -1

A mass m is vertically suspended from a spring of negligible mass, the system oscillates with a frequency n. What will be the frequency of the system if a mass 4 m is suspended from the same spring

A
n/4

B
4n

C
n/2

D
2n

Solution
Question 6
4 / -1

Five identical springs are used in the following three configurations. The time periods of vertical oscillations in configuration (i), (ii) and (iii) are in the ratio

A

B

C

D

Solution
Question 7
4 / -1

If a watch with a wound spring is taken on to the moon, it

A
Runs faster

B
Runs slower

C
Does not work

D
Shows no change
Question 8
4 / -1

Two springs have spring constants K_A and K_B and K_A > K_B. The work required to stretch them by same extension will be

A
More in spring A

B
More in spring B

C
Equal in both

D
Nothing can be said

Solution
Question 9
4 / -1

The effective spring constant of two spring system as shown in figure will be

A
K₁ + K₂

B
K₁K₂/ K₁ + K₂

C
K₁ – K₂

D
K₁K₂ / K₁ – K₂

Solution
Question 10
4 / -1

The scale of a spring balance reading from 0 to 10 kg is 0.25 m long. A body suspended from the balance oscillates vertically with a period of π/10 second. The mass suspended is (neglect the mass of the spring)

A
10 kg

B
0.98 kg

C
5 kg

D
20 kg

Solution