Oscillations Te...

If a spring has time period T, and is cut into n equal parts, then the time period of each part will be

Two springs of force constants K and 2K are connected to a mass as shown below. The frequency of oscillation

A particle at the end of a spring executes simple harmonic motion with a period t₁, while the corresponding period for another spring is t₂. If the period of oscillation with the two springs in series is T, then

Infinite springs with force constant k, 2k, 4k and 8k... respectively are connected in series. The effective force constant of the spring will be

The springs shown are identical. When A = 4 kg, the elongation of spring is 1 cm. If B = 6 kg, the elongation produced by it is

Two springs with spring constants K₁ = 1500 N/m and K₂ = 3000 N/m are stretched by the same force. The ratio of potential energy stored in spring will be

A weightless spring of length 60 cm and force constant 200 N/m is kept straight and unstretched on a smooth horizontal table and its ends are rigidly fixed. A mass of 0.25 kg is attached at the middle of the spring and is slightly displaced along the length. The time period of the oscillation of the mass is

A mass M is suspended from a spring of negligible mass. The spring is pulled a little and then released so that the mass executes S.H.M. of time period T. If the mass is increased by m, the time period becomes 5T/3. Then the ratio of m/M is

When a mass m is attached to a spring, it normally extends by 0.2 m. The mass m is given a slight addition extension and released, then its time period will be

A mass m is suspended from a spring of length l and force constant K. The frequency of vibration of the mass is f₁. The spring is cut into two equal parts and the same mass is suspended from one of the parts. The new frequency of vibration of mass is f₂. Which of the following relations between the frequencies is correct