Oscillations Test

Result

Oscillations Test - 23

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Weekly Quiz Competition

Question 1
4 / -1

A body is placed on a horizontal plank executing S.H.M. along vertical direction. Its amplitude of oscillation is 3.92 x 10^–3m. What should be the minimum periodic time so that the body does not loose contact with the plank ?

A
0.1256 s

B
0.1356 s

C
0.1456 s

D
0.1556 s

Solution
Question 2
4 / -1

If the kinetic energy of a particle executing S.H.M. is given by K = K₀Cos²ùt, then the displacement of the particle is given by ..........

A

B

C

D

Solution
Question 3
4 / -1

The equation for displacement of two identical particles performing S.H.M. is given by x₁ = 4 Sin (20t+p/6) and x₂ = 10 Sinùt. For what value of ù will both particles have same energy ?

A
4 units

B
8 units

C
16 units

D
20 units

Solution
Question 4
4 / -1

A spring having length l and spring constant k is divided into two parts having lengths l₁ and l₂. If l₁ = nl₂ , the force constant of the spring having length l₂ is ..........

A

B

C
k

D

Solution
Question 5
4 / -1

When a mass m is suspended from the free end of a massless spring having force constant k, its oscillates with frequency f. Now if the spring is divided into two equal parts and a mass 2m is suspended from the end of anyone of them, it will oscillate with a frequency equal to ............

A
f

B
2f

C

D

Solution
Question 6
4 / -1

A mass m on an inclined smooth surface is attached to two springs as shown in figure. The other ends of both springs are attached to rigid surface. If the force constant of both spring is k, then the periodic time of oscillation for the system is .........

A

B

C

D

Solution
Question 7
4 / -1

A body of mass 1 kg suspended from the free end of a spring having force constant 400 Nm^-1 is executing S.H.M. When the total energy of the system is 2 joule, the maximum acceleration is .........ms^-2 .

A
8 ms^-2

B
10 ms^-2

C
40 ms^-2

D
40 cms^-2

Solution
Question 8
4 / -1

When a block of mass m is suspended from the free end of a massless spring having force constant k, its length increases by y. Now when the block is slightly pulled downwards and released, it starts executing S.H.M with amplitude A and angular frequency ù. The total energy of the system comprising of the block and spring is ..........

A

B

C

D

Solution
Question 9
4 / -1

A spring is attached to the center of a frictionless horizontal turn table and at the other end a body of mass 2 kg is attached. The length of the spring is 35 cm. Now when the turn table is rotated with an angular speed of 10 rad s^-1 , the length of the spring becomes 40 cm then the force constant of the spring is ........... N/m.

A
1.2 x 10³

B
1.6 x 10³

C
2.2 x 10³

D
2.6 x 10³

Solution
Question 10
4 / -1

The displacement of a particle executing S.H.M. is given by y = 4Cos²(t/2)Sin1000t. This displacement is due to superposition of ............ S.H.M.’s.

A
2

B
3

C
4

D
5

Solution