Question

The potential energy of a particle executing simple harmonic motion at a distance x from the equilibrium position is proportional to

Solution

Correct option is

x2

 

The potential energy of a particle of mass m executing simple harmonic motion of angular frequency ω at a distance x from the equilibrium position is given by

                                         

Where k = mω2 is constant.

SIMILAR QUESTIONS

Q1

A uniform rope of length 12m and mass 6 kg hangs vertically from a rigid support. A block of mass 2 kg is attached to the free end of the rope. A transverse pulse of wavelength 0.06 m is produced in the lower end of the rope. What is the wavelength of the pulse when it reached the top of the rope?

Q2

A tuning fork and a sonometer wire sounded together produce 4 beats per second when the length of the wire is 95 cm or 100 cm. the frequency of the turning fork is

Q3

An object producing a sound of frequency 400 Hz approaches a stationary person with a speed of 200 ms–1. The speed of sound is 300 ms–1. As the object flies past him, the person will note a change in frequency of  

Q4

 

The frequency of the sound of a car horn as received by an observer towards whom the car is moving differs from the frequency of the horn by 2.5%. If the speed of sound in air is

320 ms–1, the speed of the car is

Q5

A cylindrical tube, open at both ends, has a fundamental frequency V in air. The tube is dipped vertically in water so that half of it is inside water. The fundamental frequency of the air column now is

Q6

The intensity of a sound wave falls by 10% in travelling a distance of 1 metre in a medium. If the initial intensity of the sound wave was 100 decibels, its value after it passes through 3 metres thickness of the medium will be

Q7

A tube closed at one end containing air, produces, when excited, the fundamental note of frequency 512 Hz. If the tube is open at both ends, the fundamental frequency that can be excited in (in Hz)

Q8

Two second waves of equal intensity I produce beats. The maximum intensity of sound produced in beats will be

Q9

Two waves of wavelength 2 m and 2.02 m moving with the same speed superpose to produce 2 beats per second. The speed of each wave is

Q10

 

Two travelling waves

                      

and                

are superposed on a string. The distance between adjacent nodes is