2 g y

g y C O N C E P T M A P Unit Oscillations EVALUATION I. Multiple Choice Questions . In a simple harmonic oscillation, the acceleration against displacement for one complete oscillation will be (model NSEP - ) a) an ellipse b) a circle c) a parabola d) a straight line . A particle executing SHM crosses points A and B with the same velocity.

Having taken s in passing from A to B, it returns to B after another s. The time period is a) s b) s c) s d) s . The length of a second’s pendulum on the surface of the Earth is . m.

The length of the same pendulum on surface of planet X such that the acceleration of the planet X is n times greater than the Earth is a) . n b) . n m c) . n m d) n .

A simple pendulum is suspended from the roof of a school bus which moves in a horizontal direction with an acceleration a, then the time period is a) T ∝ g a b) T ∝ g a c) T ∝ g a d) T ∝ (g a ) . Two bodies A and B whose masses are in the ratio : are suspended from two separate massless springs of force constants k A and k B respectively. If the two bodies oscillate vertically such that their maximum velocities are in the ratio : , the ratio of the amplitude A to that of B is a) k k B b) k k B c) k k B d) k k B . A spring is connected to a mass m suspended from it and its time period for vertical oscillation is T.

The spring is now cut into two equal halves and the same mass is suspended from one of the halves. The period of vertical oscillation is a) ′ = b) ′= c) ′= d) ′= . The displacement of a simple harmonic motion is given by y ( t ) = A sin ( ω t + ϕ ) where A is amplitude of the oscillation, ω is the angular frequency and ϕ is the phase. Let the amplitude of the oscillation be cm and the time period of the oscillation is s.

If the displacement at initial time ( t = s) is cm, then the displacement at t = s is (a) cm (b) cm (c) cm (d) cm Unit Oscillations . A simple pendulum has a time period T . When its point of suspension is moved vertically upwards according as y = k t , where y is vertical distance covered and k = ms − , its time period becomes T . Then, T is (g = m s − ) (IIT ) a) b) c) d) .

An ideal spring of spring constant k , is suspended from the ceiling of a room and a block of mass M is fastened to its lower end. If the block is released when the spring is un-stretched, then the maximum extension in the spring is (IIT ) a) Mg k b) Mg k c) Mg k d) Mg k . A pendulum is hung in a very high building oscillates to and fro motion freely like a simple harmonic oscillator. If the acceleration of the bob is ms − at a distance of m from the mean position, then the time period is (NEET model) a) s b) s c) 2πs (d) πs .

A hollow sphere is filled with water. It is hung by a long thread. As the water flows out of a hole at the bottom, the period of oscillation will a) first increase and then decrease b) first decrease and then increase c) increase continuously d) decrease continuously . The damping force on an oscillator is directly proportional to the velocity.

The units of the constant of proportionality are (AIPMT ) a) kg m s − b) kg m s − c) kg s − (d) kg s . Let the total energy of a particle executing simple harmonic motion with angular frequency is rad s – is . J. If the displacement of the particle at time t = π s is cm then the amplitude of motion is a) cm b) cm c) cm d) cm .

A particle executes simple harmonic motion and displacement y at time t , t and t are A, B and C , respectively.