The length of a simple pendulum executing simple harmonic motion is increased by . The percentage increase in the time period of the pendulum of increased length is

The mass and the diameter of a planet are three times the respective values for the Earth. The period of oscillation of a simple pendulum on the Earth is . The period of oscillation of the same pendulum on the planet would be:

A second's pendulum is placed in a space laboratory orbiting around the earth at a height  from the earth's surface where  is earth's radius. The time period of the pendulum will be

The bob of a simple pendulum executes simple harmonic motion in water with a period , while the period of oscillation of the bob is  in air. Neglecting frictional force of water and given that the density of the bob is (4/3) . What relationship between  and  is true

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

is the time period of a simple pendulum at a place. If the length of the pendulum is reduced to  times of its initial value, the modified time period is : 

Time period of a simple pendulum attached with the celling of a lift falling freely is

A pendulum made of a uniform wire of cross sectional area A has time period . When an additional mass  is added to its bob, the time period changes to . If the Young's modulus of the material of the wire is  then  is equal to:

(  = gravitational acceleration) 

A simple pendulum has time period . The point of suspension is now moved upward according to the relation  where  is the vertical displacement. The time period now becomes . The ratio of  is
( 

The motion of a simple pendulum excuting S.H.M. is represented by following equation.       

where time is measured in second.

The length of pendulum is: