Chapter 10 – Oscillation and Waves

A simple pendulum of length 1 m is oscillating with an angular frequency 10rad/s. The support of the down with a small angular frequency of 1rad/s and an amplitude of 10^−2m . The relative changes in the angular frequency of the pendulum is best given by. A particle executes simple harmonic motion with an amplitude [...]

The mass of 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 2 s. The period of oscillation of the same pendulum on the planet would be A particle executes simple harmonic motion with an amplitude of 5 [...]

A particle undergoing simple harmonic motion has time dependent displacement given by x(t) = A sin 90/πt ​. The ratio of kinetic to potential energy of this particle at t = 210 s will be : A particle undergoing simple harmonic motion has time dependent displacement given by x(t) = A sin 90/πt ​. The [...]

A particle executes simple harmonic motion with an amplitude of 5 cm. When the particle is at 4 cm from the mean position, the magnitude of its velocity in SI units is equal to that of its acceleration. Then, its periodic time in seconds is: A particle executes simple harmonic motion with an amplitude of [...]

A cylindrical plastic bottle of negligible mass is filled with 310 ml of water and left floating in a pond with still water. If pressed downward slightly and released, it starts performing simple harmonic motion at angular frequency ω. If the radius of the bottle is 2.5cm then ω is close to: (density of water [...]

A particle is executing simple harmonic motion (SHM) of amplitude A, along the x-axis, about x = 0. When its potential Energy (PE) equals kinetic energy (KE), the position of the particle will be : A particle is executing simple harmonic motion (SHM) of amplitude A about x = 0. When its potential Energy (PE) [...]

A rod of mass ‘M’ and length ‘2L’ is suspended at its middle by a wire. It exhibits torsional oscillations, if two masses each of ‘m’ are attached at distance ‘L/2’ from its centre on both sides, it reduces the oscillation frequency by 20%. The value of ratio m/M is close to : A rod [...]

A simple pendulum oscillating in air has period T. The bob of the pendulum is completely immersed in a non-viscous liquid. The density of the liquid is 16/1 ​th of material of the bob. If the bob is inside liquid all the time, its period of oscillation in this liquid is: coefficient of viscosity of [...]

The displacement of a damped harmonic oscillator is given by x(t) = e^–0.1t cos(10πt + ϕ) Here t is in seconds. The time taken for its amplitude of vibration to drop to half of its initial value is close to coefficient of viscosity of water =1 mPas). the Reynolds number for the flow is of [...]

A spring whose unstretched length is l has a force constant k. The spring is cute into two pieces of unstretched lengths l1 and l2 ​where, l 1 = nl2 ​and n is an integer. The ratio k2/k1 of the corresponding force constants, k1 and k2 will be: A spring whose unstretched length is l [...]