## Question

### Solution

Correct option is

ω1 = ω0, ω2 = ω

In resonant oscillations, the amplitude and velocity (and hence energy) maxima occur when the angular frequency ω of the externally applied force equals the angular frequency ω0 of the natural oscillations.

#### SIMILAR QUESTIONS

Q1

Two waves are represented by the following equations:  The ratio of intensities I2/I1 will be

Q2

The velocity of sound in a diatomic gas is 300 ms–1. What is the rms velocity of its molecules?

Q3

The length of a sonometer wire AB is 100 cm. Where should the two bridges be placed from end A to divide the wire in three segments whose fundamental frequencies are the ratio of 1:2:3?

Q4

A toothed wheel is rotated at 120 r.p.m. A post card is placed against the teeth. How many teeth must the wheel have to produce a note whose pitch is the same as that of a tuning fork of frequency 256 Hz?

Q5

If a spring extend by x on loading, then the energy stored in the spring is (T is the tension in the spring and k its force constant)

Q6

A pulse travels along a stretched string and reaches the fixed end of the string. It will be reflected back with

Q7

At which temperature will the velocity of sound at 27oC become double?

Q8

The equation of a travelling wave is Where y is the microns, t in seconds and x in metres. The ratio of the maximum particle velocity and velocity of the wave is

Q9

Due to Doppler effect, the shift in the wavelength observed is 0.1 Å, for a star producing a wavelength 6000 Å. The velocity of recession of the star will be

Q10

A vehicle with a horn of frequency n is moving with a velocity of 30 ms–1in a direction perpendicular to the straight line joining the observer and the vehicle. The observer perceives the sound to have a frequency (n + n1). If the sound velocity in air is 300 ms–1