DRILLING SEM 3-1

The graph below shows the variation of acceleration with displacement x of a particle performing a simple harmonic motion. The frequency of oscillation of the simple harmonic motion is

• 0.87 Hz

• 1.15 Hz

• 4.77 Hz

• 34.41 Hz

A particle moves with simple harmonic motion along x-axis according to the equations d2ydx2 + Bx = 0. The period of the motions is

• 2πB

• 2Bπ

• 2π2B

• B2π

An object of mass 2.0kg undergoes a simple harmonic motion according to the equation x = 5.0 cos 100t, where x is displacement in meter and t is time in seconds. What is the frequency and kinetic energy of the object when the displacement is 3.0m?

• 16Hz 160 kJ

• 16Hz 250 kJ

• 100Hz 160 kJ

• 100Hz 250 kJ

A spring mass system experience critical damping. Which of the following graphs represents the variation of the displacement s with time t of the motion of the mass?

• A

• B

• C

• D

Sound waves of frequency 400 Hz move in air with a speed of 320 ms-1. What is the phase difference between two points separated by a distance of 0.2 m in the direction of the motion?

• A

• B

• C

• D

An ambulance moving with velocity turns on its siren of frequency of 1000 Hz. The wailing sound of the siren is heard by a passenger in a taxi moving at a velocity towards the oncoming ambulance. What is the frequency of the sound heard by the passenger if the velocity of sound in air is?

• 857 Hz

• 861 Hz

• 1000 Hz

• 1161 Hz

A convex lens is held close to the eye to be used as a magnifying glass. For maximum magnification, the lens must be placed so that

• the object exceeds the principal focus of the lens

• the object is on the plane passing through the focus of the lens

• the image is on the plane passing through the focus of the lens

• the image is near the eye

A diffraction grating is ruled with 750 lines per millimetre when monochromatic light falls normally on the grating. The second-order diffracted beams each making an angle of 18 with normal to the grating are observed on the far side of the grating. Find the frequency of the light.

• 1.5 x 1015 Hz

• 4.8 x 1015 Hz

• 1.9 x 1014 Hz

• 3.6 x 1014 Hz

A highly monochromatic beam could be transmitted in the optical fiber through

• refraction of the beam

• diffraction of the beam

• interference of the laser beam

• total internal reflection of the beam

If the probability for a radioisotope to decay per hour is 0.50, what is the half-life of the radioisotope?

• 0.50 hour

• 0.72 hour

• 1.4 hour

• 2.0 hour