PUC Science Class 11 - Karnataka Board PUC Question Bank Solutions

The displacement of a particle in simple harmonic motion in one time period is

The distance moved by a particle in simple harmonic motion in one time period is

The motion of a particle is given by x = A sin ωt + B cos ωt. The motion of the particle is

The displacement of a particle is given by \[\overrightarrow{r} = A\left( \overrightarrow{i} \cos\omega t + \overrightarrow{j} \sin\omega t \right) .\] The motion of the particle is

A particle moves on the X-axis according to the equation x = A + B sin ωt. The motion is simple harmonic with amplitude

Figure represents two simple harmonic motions.

The parameter which has different values in the two motions is

The average energy in one time period in simple harmonic motion is

A pendulum clock that keeps correct time on the earth is taken to the moon. It will run

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,

The bob of a pendulum at rest is given a sharp hit to impart a horizontal velocity  \[\sqrt{10 \text{ gl }}\], where l is the length of the pendulum. Find the tension in the string when (a) the string is horizontal, (b) the bob is at its highest point and (c) the string makes an angle of 60° with the upward vertical. 

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

A simple pendulum consists of a 50 cm long string connected to a 100 g ball. The ball is pulled aside so that the string makes an angle of 37° with the vertical and is then released. Find the tension in the string when the bob is at its lowest position. 

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.

A particle moves in a circular path with a continuously increasing speed. Its motion is

The motion of a torsional pendulum is
(a) periodic
(b) oscillatory
(c) simple harmonic
(d) angular simple harmonic

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

(a) \[\vec{F} . \vec{a} .\]

(b) \[\vec{v} . \vec{r} .\]

(c) \[\vec{a} . \vec{r} .\]

(d)\[\vec{F} . \vec{r} .\]

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

The bob of a stationary pendulum is given a sharp hit to impart it a horizontal speed of \[\sqrt{3 gl}\] . Find the angle rotated by the string before it becomes slack.