A student says that he had applied a force F = - k√x on a particle and the particle moved in simple harmonic motion. He refuses to tell whether k is a constant or not. Assume that he has worked only with positive x and no other force acted on the particle.

The time period of a particle in simple harmonic motion is equal to the time between consecutive appearances of the particle at a particular point in its motion. This point is

The time period of a particle in simple harmonic motion is equal to the smallest time between the particle acquiring a particular velocity The value of is

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 average acceleration in one time period in a simple harmonic motion 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 The motion of the particle is

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

Figure (12-Q1) represents two simple harmonic motions,

The parameter which has different values in the two motions is

The total mechanical energy of a spring-mass system in simple harmonic motion is suppose the oscillating particle is replaced by another particle of double the mass while the amplitude A remains the same. The new mechanical energy will

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

A particle executes simple harmonic motion with a frequency v. The frequency with which the kinetic energy oscillates is

A particle executes simple harmonic motion under the restoring force provided by a spring. The time period is T. If the spring is divided in two equal parts and one part is used to continue the simple harmonic motion, the time period will

Two bodies A and B of equal mass are suspended from two separate massless springs of spring constant k₁ and k₂ respectively. If the bodies oscillate vertically such that their maximum velocities are equal, the ratio of the amplitude of A to that of B is

A spring-mass system oscillates with a frequency v. If it is taken in an elevator slowly accelerating upward, the frequency will

A spring-mass system oscillates in a car. If the car accelerates on a horizontal road, the frequency of oscillation will

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 Lime 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 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