Question

A body is executing S.H.M. with angular frequency 2 rad s–1. If the amplitude of the motion is 60 mm, the velocity of the body at 20 mm displacement is

Solution

Correct option is

 

Here ω = 2 rad s –1A = 60 mm = 6 cm and x = 20 mm = 2 cm. 

                   

SIMILAR QUESTIONS

Q1

 

The wave equation is 

                       

Where tx and y are in second, metre and centimeter respectively. The speed of the wave is

Q2

An observer is standing between two vehicles, each moving with a speed 4 ms–1. One vehicle is approaching him and the other going away from him. If each vehicle is blowing a horn of frequency 240 Hz and the speed of sound is 320 ms–1, the number of beats per second will be

Q3

A spring is extended by a length l, the according to Hooke’s law

Q4

 

A transverse wave is represented by 

                   

For what value of λ is the maximum particle velocity equal to twice the wave velocity?

Q5

A pendulum clock keeps correct time at 20oC. The coefficient of linear expansion of pendulum is . If the room temperature increases to 40oC, how many seconds will the clock lose or gain per day?

Q6

A mass m is suspended from a spring of negligible mass. The system oscillates with frequency n. What will be the frequency if a mass 4 m is suspended from the same spring?

Q7

In a sinusoidal wave, the time required for a particular point to move from maximum displacement to zero displacement is 0.17s. The frequency of the wave is

Q8

The kinetic energy of a particle executing S.H.M. is 16 J, when it is at its mean position. If the amplitude of oscillation is 25 cm and the mass of the particle is 5.12 kg, the time period of oscillation is

Q9

A standing wave having 3 nodes and 2 antinodes is formed between two atoms having a separation of 1.21 Å between them. The wavelength of the standing wave is

Q10

 

A wave is represented by the equation  

                                  

Where x is in metres and t in seconds. The expression represents