## Question

### Solution

Correct option is

Three

We can write, Therefore,   Thus y is a superposition of three simple harmonic motions of angular frequencies 9991000 and 1001 rad s–1. But a superposition of two or more simple harmonic motions of different frequency does not produce a simple harmonic motion. The statement of the question is incorrect.

#### SIMILAR QUESTIONS

Q1

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

Q2

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

Q3

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)

Q4

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Q5

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

Q6

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

Q7

Two travelling waves and are superposed on a string. The distance between adjacent nodes is

Q8

If the amplitude of a sound wave is doubled and its frequency reduced to one-fourth, the intensity of sound at the same point will

Q9

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Q10

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