A Tuning Fork Produces 4 Beta Per Second When Sounded With Sonometer Of Vibrating Length 48cm. It Produces 4 Beats Per Second Also When The Vibrating Length Is 50cm. What Is The Frequency Of The Tuning Fork?

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

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 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?

A particle is in linear simple harmonic motion between two extreme pointsA and B, 10 cm apart (see fig). If the direction from A to B is taken as positive direction, what are signs of displacement x, velocity V and acceleration a, when the particle is at A?   

A simple harmonic motion of amplitude A has a time period T. The acceleration of the oscillator when its displacement is half the amplitude is

A body oscillates harmonically with amplitude 0.05 m. At a certain instant of time its displacement is 0.01 m and acceleration is 1.0 ms^-2. What is the period of oscillation?

The displacement x (in centimetres) of an oscillating particle varies with time t (in seconds) as 

The magnitude of the maximum acceleration of the particle is