A pendulum clock that keeps the correct time on the earth is taken to the moon. It will run:
(Take \(g_{\text{moon}}=\frac{g_{\text{earth}}}{6}\))
1. at the correct rate
2. \(6\) times faster
3. \(\sqrt6\) times faster
4. \(\sqrt6\) times slower

A wall clock uses a vertical spring-mass system to measure the time. Each time the mass reaches an extreme position, the clock advances by a second. The clock gives correct time at the equator. If the clock is taken to the poles it will:

A pendulum clock keeping correct time is taken to high altitudes,

1. it will keep correct time

2. its length should be increased to keep correct time

3. its length should be decreased to keep correct time

4. it cannot keep correct time even if the length is changed

The free end of a simple pendulum is attached to the ceiling of a box. The box is taken to a height and the pendulum is oscillated. When the bob is at its lowest point, the box is released to fall freely. As seen from the box during this period, the bob will

1. continue its oscillation as before

2. stop

3. will go in a circular path

4. move on a straight line

Select the correct statements.

(a) A simple harmonic motion is necessarily periodic.

(b) A simple harmonic motion is necessarily oscillatory.

(c) An oscillatory motion is necessarily periodic.

(d) A periodic motion is necessarily oscillatory.

Choose the correct option:

1. (a) and (b)

2. (b) and (c)

3. (c) and (d)

4. None of these

A particle moves in a circular path with a uniform speed. Its motion is:

A particle is fastened at the end of a string and is whirled in a vertical circle with the other end of the string being fixed. The motion of the particle is:

A particle moves in a circular path with a continuously increasing speed. Its motion is:
1. periodic
2. oscillatory
3. simple harmonic
4. none of them

The motion of a torsional pendulum is

(a) periodic

(b) oscillatory

(c) simple harmonic

(d) angular simple harmonic

Choose the correct option:

1. (a), (b) and (c)

2. (b), (c) and (d)

3. (a), (b) and (d)

4. All of these

Which of the following quantities are always negative in a simple harmonic motion?

(a) \(\vec{F} \cdot \vec{a}.\)

(b) \(\vec{v} \cdot \vec{r}.\)

(c) \(\vec{a} \cdot \vec{r}.\)

(d) \(\vec{F} \cdot \vec{r}\)

Choose the correct option:

1. (a) and (b)

2. (b) and (c)

3. (c) and (d)

4. (d) and (e)