Oscillations Test

Result

Oscillations Test - 55

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Weekly Quiz Competition

Question 1
4 / -1

The displacement of a particle is given by x = ACosωt. Which of the following graph represents variation in potential energy as a function of time t and displacement x.

A
I, III

B
II, IV

C
II, III

D
I, IV

Solution
Question 2
4 / -1

A system is executing S.H.M. The potential energy of the system for displacement x is E₁ and for a displacement of y, the potential energy of the system is E₂. The potential energy for a displacement of (x+y) is .........

A

B

C

D

Solution
Question 3
4 / -1

A system is executing S.H.M. with a periodic time of 4/5 s under the influence of force F₁. When a force F₂ is applied, the periodic time is (2/5) s. Now if F₁ and F₂ are applied simultaneously along the same direction, the periodic time will be .........

A

B

C

D

Solution
Question 4
4 / -1

The periodic time of a simple pendulum is 3.3 s. Now if the point of support of the pendulum starts moving along the vertically upward direction with a velocity v = kt ( where k = 2.1 m/s²), then the new periodic time is ............... s. { Take g = 10 m/s²}

A
3

B
2.5

C
3.33

D
2.33

Solution
Question 5
4 / -1

A block is placed on a horizontal table. The table executes S.H.M. along the horizontal plane with a period T. The coefficient of static friction between the table and block is μ. The maximum amplitude of oscillation should be .........so that the block does not slide off the table.

A

B

C

D

Solution
Question 6
4 / -1

As shown in figure, a block A having mass M is attached to one end of a massless spring. The block is on a frictionless horizontal surface and the free end of the spring is attached to a wall. Another block B having mass ‘m’ is placed on top of block A. Now on displacing this system horizontally and released, it executes S.H.M. What should be the maximum amplitude of oscillation so that B does not slide off A? Coefficient of static friction between the surfaces of the block’s is μ.

A

B

C

D

Solution
Question 7
4 / -1

A particle is executing S.H.M. about the origin at x = 0. Which of the following graph shows variation in potential energy with displacement?

A

B

C

D

Solution
Question 8
4 / -1

A horizontal plank is executing SHM along the vertical direction with angular frequency ù. A coin is placed on top of this plank. If the amplitude of oscillation is increased gradually, for what maximum amplitude will the coin be on the verge of loosing contact with the plank?

A
When is plank is at its maximum height

B
When the plank is at the midpoint

C

D

Solution
Question 9
4 / -1

Statement – 1: If a spring having spring constant k is divided into equal parts, then the spring constant of each part will be 2k.
Statement – 2 : When the length of the elastic spring is increased ( stretched ) by x, then the amount of work required to be done is 1/2kx²

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 10
4 / -1

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