The Mass m shown In Figure Is Displaced Vertically By A Small Amount And Released. If The System Oscillates With A Period Of 2 Seconds, The Value Of The Spring Constant k is                                                               

A heavy metal sphere is suspended from a spring. When pulled down a little and released, it oscillates up and down with a frequency f. If it is taken to the moon (where the acceleration due to gravity is one-sixth that on earth) the frequency of vertical oscillation will

A mass M attached to a light spring oscillates with a period of 2 seconds. If the mass is increased by 2 kg the period increases by 1 second. What is the value of M?

A simple harmonic motion is given by the equation 

Where x is in metres. The amplitude of the motion is

Figure shows three identical springs A, B, C. When a 4 kg weight is hung on A, it descends by 1 cm. When a 6 kg weight is hung on C, it will descent by

A spring of force constant k is cut into two equal halves. The force constant of each half is

Two springs of equal lengths and equal cross-sectional areas are made of materials whose Young’s modulii are in the ratio of 3:2. They suspended and loaded with the same mass. When stretched and released, they will oscillate with time periods in the ratio of

Two bodies A and B of equal masses are suspended from two separate springs of force constants k₁ and k₂ respectively. If the two bodies oscillate such that their maximum velocities are equal, the ratio of the amplitudes of oscillation of A and B will be

Two springs A and B have force constants k₁ and k₂ respectively. The ratio of the work done on A to that done on B in increasing their lengths by the same amount is

Two springs A and B have force constants k₁ and k₂ respectively. The ratio of the work done on A to that done on B when they are stretched by the same force is

A spring of force constant k is cut into three equal pieces. If these three pieces are connected in parallel, the force constant of the combination will be