A seconds pendulum is placed in a space laboratory orbiting around the Earth at a height 3R from the Earth's surface where R is the radius of the Earth. The time period of the pendulum will be ________.

(a)

zero

(b)

2/3s

(c)

4 s

(d)

infinite

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 4m is suspended from the same spring?

(a)

\(\frac{n}{2}\)

(b)

2n

(c)

\(\frac{n}{4}\)

(d)

4n

Two simple pendulums of lengths 0.5m and 2.0m respectively are given small linear displacement in one direction at the same time. They will again be in phase when the pendulum of shorter length has completed _______ oscillations.

(a)

5

(b)

3

(c)

1

(d)

2

A body is executing simple harmonic motion with an angular frequency 2 rod/sec. The velocity of the body at 20mm displacement, when the amplitude of motion is 60mm, is _____________.

(a)

90 mm/s

(b)

113 mm/s

(c)

118 mm/s

(d)

131 mm/s

If the displacement of a particle executing SHM, is given by y = 0.30 sin (220t + 0.64) in metre, then the frequency and the maximum velocity of the particle are (t is in seconds) ________.

(a)

35 Hz, 66 m/s

(b)

45 Hz, 66 m/s

(c)

58 HZ, 113 m/s

(d)

35Hz, 132 m/s