EASY

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A body is suspended from a string of length $1 m$ and mass $2 g$ . The mass of the body to produce a fundamental mode of $100 Hz$ frequency in the string is
(Acceleration due to gravity $= 10 m s^{- 2}$ )

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Important Questions on Waves

MEDIUM

Physics>Oscillations and Waves>Waves>Principle of Superposition of Waves

The sources of sound

A

and

B

produce a wave of

350 Hz

in same phase. A particle

P

is vibrating under an influence of these two waves. If the amplitudes at

P

produced by the two waves is

0.3 mm

and

0.4 mm

, the resultant amplitude of the point

P

will be, when

A P - B P = 25 cm

and the velocity of sound is

350 m s^{- 1}

EASY

Physics>Oscillations and Waves>Waves>Principle of Superposition of Waves

Two waves of the same kind and of the same amplitude

A

superpose at a point with a phase difference of

φ

between them. Find the resultant amplitude (R).

MEDIUM

Physics>Oscillations and Waves>Waves>Principle of Superposition of Waves

Two waves are simultaneously passing through a string and their equations are :

y_{1} = A_{1} \sin k (x - v t), y_{2} = A_{2} \sin k (x - v t + x_{0}) .

Given amplitudes

A_{1} = 12 mm

and

A_{2} = 5 mm

x_{0} = 3.5 cm

and wave number

k = 6.28 {cm}^{- 1} .

The amplitude of resulting wave will be _____

mm .

EASY

Physics>Oscillations and Waves>Waves>Principle of Superposition of Waves

A standing wave pattern can be represented by an equation like

EASY

Physics>Oscillations and Waves>Waves>Principle of Superposition of Waves

Two harmonic travelling waves are described by the equations

y_{1} = a \sin (k x - ω t)

and

y_{2} = a \sin (- k x + ω t + ϕ)

The amplitude of the superposed wave is

EASY

Physics>Oscillations and Waves>Waves>Principle of Superposition of Waves

Two waves executing simple harmonic motion travelling in the same direction with same amplitude and frequency are superimposed. The resultant amplitude is equal to the

\sqrt{3}

times of amplitude of individual motions. The phase difference between the two motions is _____ (degree)

EASY

Physics>Oscillations and Waves>Waves>Principle of Superposition of Waves

The equations of two waves are given by :

$y_{1} = 5 \sin 2 π (x - v t) cm$

$y_{2} = 3 \sin 2 π (x - v t + 1.5) cm$

These waves are simultaneously passing through a string. The amplitude of the resulting wave is :

EASY

Physics>Oscillations and Waves>Waves>Principle of Superposition of Waves

Two simple harmonic waves having equal amplitudes of

8 cm

and equal frequency of

10 Hz

are moving along the same direction. The resultant amplitude is also

8 cm

. The phase difference between the individual waves is _____ degree.

EASY

Physics>Oscillations and Waves>Waves>Principle of Superposition of Waves

Two identical progressive waves moving in opposite direction superimpose to produce a stationary wave. The wavelength of each progressive wave is

λ

. The wavelength of the stationary wave is

EASY

Physics>Oscillations and Waves>Waves>Principle of Superposition of Waves

The amplitude and frequency of two waves is same which are from two different sources, overlap at a point. The ratio of intensity when two waves arrive

(\frac{π}{2})

out of phase to when they arrive in phase is

MEDIUM

Physics>Oscillations and Waves>Waves>Principle of Superposition of Waves

A stretched wire vibrates with a frequency of

60 Hz

when the tension in the wire is

T_{1}

and with a frequency of

130 Hz

when the tension in the wire is

T_{2}

. If the tension in the wire is

(T_{1} + T_{2}),

its frequency of vibration is

MEDIUM

Physics>Oscillations and Waves>Waves>Principle of Superposition of Waves

If two waves of the same frequency and amplitude respectively on superposition produce a resultant disturbance of the same amplitude, the waves differ in phase by

HARD

Physics>Oscillations and Waves>Waves>Principle of Superposition of Waves

The ratio of the fundamental frequencies of two identical strings after one of them was stretched by

2 %

and the other by

4 %

is (Assume that the tension is proportional to the elongation)

MEDIUM

Physics>Oscillations and Waves>Waves>Principle of Superposition of Waves

Three sinusoidal waves with the same angular frequency but with different amplitudes

A, \frac{A}{2}, \frac{A}{3}

and phase angles

0, \frac{π}{2}

and

π

respectively move along the same direction and superpose with each other. The amplitude of the resultant wave is given by

MEDIUM

Physics>Oscillations and Waves>Waves>Principle of Superposition of Waves

Three harmonic waves having equal frequency

v

and same intensity

I_{0}

, have phase angles

0, \frac{π}{4}

and

- \frac{π}{4}

respectively. When they are superimposed the intensity of the resultant wave is close to:

MEDIUM

Physics>Oscillations and Waves>Waves>Principle of Superposition of Waves

The displacement

y

of a particle, if given by

y = 4 \cos^{2} (\frac{t}{2}) \sin (1000 t) .

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

MEDIUM

Physics>Oscillations and Waves>Waves>Principle of Superposition of Waves

A travelling wave represented by

y = A sin (ω t - kx)

is superimposed on another wave represented by

y = A sin (ω t + kx)

. The resultant is

MEDIUM

Physics>Oscillations and Waves>Waves>Principle of Superposition of Waves

Two waves are described by the equations:

y_{1} = A \cos (0.5 π x - 100 π t)

And

y_{2} = A \cos (0.46 π x - 92 π t)

Here

x

and

y

are in

m

and

t

is in

s

.
Find the number of times

y_{1} + y_{2}

becomes zero per second, at

x = 0

MEDIUM

Physics>Oscillations and Waves>Waves>Principle of Superposition of Waves

In Young's double slit experiment, the intensity of light coming from one of the slits is double the intensity from the other slit. The ratio of the maximum intensity to the minimum intensity in the interference fringe pattern observed is

EASY

Physics>Oscillations and Waves>Waves>Principle of Superposition of Waves

At the first minimum adjacent to the central maximum of a single slit diffraction pattern, the phase difference between the Huygens' wavelet from the edge of the slit and the wavelet from the mid-point of the slit is

A body is suspended from a string of length 1 m and mass 2 g. The mass of the body to produce a fundamental mode of 100 Hz frequency in the string is (Acceleration due to gravity =10 m s-2)

Important Questions on Waves

Learn and Prepare for any exam you want !

A body is suspended from a string of length $1 m$ and mass $2 g$ . The mass of the body to produce a fundamental mode of $100 Hz$ frequency in the string is
(Acceleration due to gravity $= 10 m s^{- 2}$ )