Two Springs Of Force Constants k1 and k2 are Connected As Shown In Figure. The Time Period Of Vertical Oscillations Of Mass m is Given By                                                                 

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

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 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

A sonometer wire of length 120 cm is divided into three segments of lengths in the ratio of 1 : 2 : 3. What is the ratio of their fundamental frequencies?