Oscillations Test

Result

Oscillations Test - 42

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Weekly Quiz Competition

Question 1
4 / -1

Due to some force F₁ a body oscillates with period and 4/5 s and due to other force F₂ oscillates with period 3/5 s. If both forces act simultaneously, the new period will be

A
0.72 s

B
0.64 s

C
0.48 s

D
0.36 s

Solution
Question 2
4 / -1

A horizontal platform with an object placed on it is executing S.H.M. in the vertical direction. The amplitude of oscillation is 3.92 × 10^–3 m. What must be the least period of these oscillations, so that the object is not deteched from the platform

A
0.1256 s

B
0.1356 s

C
0.1456 s

D
0.1556 s

Solution
Question 3
4 / -1

A particle executes simple harmonic motion (amplitude = A) between x = –A and x = +A. The time taken for it to go from 0 to A/2 is T₁ and to go from A/2 to A is T₂ . Then

A
T₁ < T₂

B
T₁ > T₂

C
T₁ = T₂

D
T₁ = 2 T₂

Solution
Question 4
4 / -1

The bob of a simple pendulum is displaced from its equilibrium position O to a position Q which is at height h above O and the bob is then released. Assuming the mass of the bob to be m and time period of oscillations to be 2.0 s, the tension in the string when the bob passes through O is

A

B

C

D

Solution
Question 5
4 / -1

The metallic bob of a simple pendulum has the relative density ρ. The time period of this pendulum is T. If the metallic bob is immersed in water, then the new time period is given by

A

B

C

D

Solution
Question 6
4 / -1

The period of oscillation of a simple pendulum of length L suspended from the roof of a vehicle which moves without friction down an inclined plane of inclination α, is given by

A

B

C

D

Solution
Question 7
4 / -1

The bob of a simple pendulum executes simple harmonic motion in water with a period t, while the period of oscillation of the bob is t₀ in air. Neglecting frictional force of water and given that the density of the bob is (4/3) × 1000 kg/m³. What relationship between t and t₀ is true

A
t = t₀

B
t = t₀/2

C
t = 2t₀

D
t = 4t₀

Solution
Question 8
4 / -1

A spring of force constant k is cut into two pieces such that one piece is double the length of the other. Then the long piece will have a force constant of

A
(2/3)k

B
(3/2)k

C
3k

D
6k

Solution
Question 9
4 / -1

One end of a long metallic wire of length L is tied to the ceiling. The other end is tied to massless spring of spring constant K. A mass m hangs freely from the free end of the spring. The area of cross-section and Young\'s modulus of the wire are A and Y respectively. If the mass is slightly pulled down and released, it will oscillate with a time period T equal to

A

B

C

D

Solution
Question 10
4 / -1

On a smooth inclined plane, a body of mass M is attached between two springs. The other ends of the springs are fixed to firm supports. If each spring has force constant K, the period of oscillation of the body (assuming the springs as massless) is

A

B

C

D

Solution