Oscillations and Waves (NEET Physics): Questions 63 - 66 of 192

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Passage

The differential equation of a particle undergoing SHM is given by ad2xdt2+bx=0 .

The particle starts from the extreme position.

Question number: 63 (2 of 2 Based on Passage) Show Passage

» Oscillations and Waves » Simple Harmonic Motion » Phase

MCQ▾

Question

The equation of motion may be given by:

Choices

Choice (4) Response

a.

x=Acos[ba]t

b.

x=Asin[ba]t

c.

x=Asin[bat+θ]whereθπ2

d.

Question does not provide sufficient data or is vague

Question number: 64

» Oscillations and Waves » Free Forced and Damped Oscillations

MCQ▾

Question

A simple pendulum of length L and mass (bob) M is oscillating in a plane about a vertical line between angular limits – ϕ and + ϕ. For an angular displacement θ (| θ| < ϕ), the tension in the string and the velocity of the bob are T and v respectively. The following relations hold good under the above conditions.

(1) TMgcosθ=Mv2L

(2) Tcosθ=Mg

(3) The magnitude of the tangential acceleration of the bob aT =gsinθ

(4) T=Mgcosθ

Select the correct answers and mark it according to the following codes:

Choices

Choice (4) Response

a.

2 and 4 are correct

b.

1, 2 and 3 are correct

c.

1 and 2 are correct

d.

1 and 3 are correct

Question number: 65

» Oscillations and Waves » Simple Pendulum

MCQ▾

Question

The bob of a pendulum of length l is pulled aside from its equilibrium position through an angle θ and then released. The bob will then pass through its equilibrium position with a speed v, where v equals

Choices

Choice (4) Response

a.

2gl(1+cosθ)

b.

2gl(1+sinθ)

c.

2gl(1sinθ)

d.

2gl(1cosθ)

Question number: 66

» Oscillations and Waves » Simple Harmonic Motion » Oscillations of a Spring

MCQ▾

Question

A simple pendulum has time period T 1. The point of suspension is now moved upward according to equation y = kt 2 where k = l m/sec 2. If new time period is T 2 then ratio T12T22 will be

Choices

Choice (4) Response

a.

56

b.

23

c.

32

d.

65

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