## Question

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?

### Solution

2 *n*

The frequencies in the two cases are

#### SIMILAR QUESTIONS

At a certain instant a stationary transverse wave is found to have maximum kinetic energy. The appearance of the string at that instant is a

The displacement *y* of a particle executing simple harmonic motion is given by

The expression may be considered to be a result of the superposition of how many simple harmonic motions?

A wave of frequency 100 Hz is sent along a string towards a fixed end. When this wave travels back after reflection, a node is formed at a distance of 10 cm from the fixed end of the string. The speed of the incident (or reflected) wave is

A particle starts simple harmonic motion from the mean position *O* as shown in the figure. Its amplitude is *A* and its time period is *T*. At a certain instant, its speed is half its maximum speed. At this instant, the displacement *x* is

The wave equation is

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

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

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

A transverse wave is represented by

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

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

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