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Two waves of amplitudes $A_{1}$ and $A_{2}$ respectively are superimposed. The ratio between the maximum and minimum intensities of the resultant waves is $9 : 4$ . The value of $\frac{A_{2}}{A_{1}}$ is [Assume $A_{1} > A_{2}$ ]

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Important Questions on Wave Motion - Waves on a String

HARD

Physics>Oscillations and Waves>Wave Motion - Waves on a String>Power Transmitted by a Wave on a String

The clocktower ("ghantaghar") of Dehradun is famous for the sound of its bell, which can be heard, albeit faintly, upto the outskirts of the city

8 km

away. Let the intensity of this faint sound be

30 dB .

The clock is situated

80 m

high. The intensity at the base of the tower is:-

MEDIUM

Physics>Oscillations and Waves>Wave Motion - Waves on a String>Power Transmitted by a Wave on a String

Displacement-time graphs for two waves, wave-1 and wave-2 are shown here. Ratio of intensity of wave-1 to that of wave-2 is

Question Image

EASY

Physics>Oscillations and Waves>Wave Motion - Waves on a String>Power Transmitted by a Wave on a String

A stationary point source of sound emits sound uniformly in all directions in a non-absorbing medium. Two points

P

and

Q

are at a distance of

4 m

and

9 m

, respectively from the source. The ratio of amplitudes of the waves at

P

and

Q

HARD

Physics>Oscillations and Waves>Wave Motion - Waves on a String>Power Transmitted by a Wave on a String

A string of mass per unit length μ is clamped at both ends such that one end of the string is at x = 0 and the other is at x = l. When string vibrates in fundamental mode, amplitude of the mid-point O of the string is a, and tension in the string is T, Find the total oscillation energy stored in the string.

MEDIUM

Physics>Oscillations and Waves>Wave Motion - Waves on a String>Power Transmitted by a Wave on a String

The intensity ratio of two waves is 1:9. The ratio of their amplitudes, is

EASY

Physics>Oscillations and Waves>Wave Motion - Waves on a String>Power Transmitted by a Wave on a String

SI unit of intensity of wave is

MEDIUM

Physics>Oscillations and Waves>Wave Motion - Waves on a String>Power Transmitted by a Wave on a String

The equation of a cylindrical progressive wave is

MEDIUM

Physics>Oscillations and Waves>Wave Motion - Waves on a String>Power Transmitted by a Wave on a String

In a grease spot photometer, light from a lamp with dirty chimney is exactly balanced by a point source distance 10 cm from the grease spot. On clearing the dirty chimney, the point source is moved 2 cm to obtain a balance again. Then the percentage of light absorbed by the dirty chimney is nearly

MEDIUM

Physics>Oscillations and Waves>Wave Motion - Waves on a String>Power Transmitted by a Wave on a String

A point source emits sound equally in all directions in a non-absorbing medium. Two points

P

and

Q

are at a distance of

2 m

and

3 m

respectively from the source. The ratio of the intensities of the waves at

P

and

Q

MEDIUM

Physics>Oscillations and Waves>Wave Motion - Waves on a String>Power Transmitted by a Wave on a String

A sinusoidal wave with amplitude y is travelling with speed

v

on a string with linear density

ρ

. The angular frequency of the wave is

ω

. The following conclusions are drawn. Mark the one which is correct. (in particular option, if we are changing one quantity, assume others are kept constant)

MEDIUM

Physics>Oscillations and Waves>Wave Motion - Waves on a String>Power Transmitted by a Wave on a String

Statement-1: Two longitudinal waves given by equations :

y_{1} (x, t) = 2 a \sin (ω t - k x)

and

y_{2} (x, t) = a \sin (2 ω t - 2 k x)

will have equal intensity.
Statement-2: Intensity of waves of given frequency in same medium is proportional to square of amplitude.

MEDIUM

Physics>Oscillations and Waves>Wave Motion - Waves on a String>Power Transmitted by a Wave on a String

If A is the amplitude of the wave coming from a line source at a distance r, then

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Physics>Oscillations and Waves>Wave Motion - Waves on a String>Power Transmitted by a Wave on a String

The amplitude of two waves are in ratio

5 : 2

. If all other conditions for the two waves are same, then what is the ratio of their energy densities?

MEDIUM

Physics>Oscillations and Waves>Wave Motion - Waves on a String>Power Transmitted by a Wave on a String

Statement I Two longitudinal waves given by equation

y_{1} (x, t) = 2 a \sin (ω t - k x)

and

y_{2} (x, t) = a \sin (2 ω t - 2 k x)

will have equal intensity.

Statement II Intensity of waves of given frequency in same medium is proportional to square of amplitude only

MEDIUM

Physics>Oscillations and Waves>Wave Motion - Waves on a String>Power Transmitted by a Wave on a String

A simple harmonic oscillator of frequency

f

is attached to the end of a cord that has a linear mass density

μ

and is under a tension

T

. The power that must be provided to the cord by the oscillator to generate a sinusoidal wave of amplitude

A

angular frequency

ω

and velocity

v

MEDIUM

Physics>Oscillations and Waves>Wave Motion - Waves on a String>Power Transmitted by a Wave on a String

A sinusoidal wave with amplitude y is travelling with speed

v

on a string with linear density

ρ

. The angular frequency of the wave is

ω

. The following conclusions are drawn. Mark the one which is correct. (in particular option if we are changing one quantity assume others are kept constant)

HARD

Physics>Oscillations and Waves>Wave Motion - Waves on a String>Power Transmitted by a Wave on a String

Two pulses in a stretched string, whose centres are initially 8 cm apart, are moving towards each other as shown in the figure. The speed of each pulse is 2 cm/s. After 2 s the total energy of the pulses will be

Question Image

MEDIUM

Physics>Oscillations and Waves>Wave Motion - Waves on a String>Power Transmitted by a Wave on a String

A small speaker has a capacity of power

3 W

. A microphone is placed at distance

2 m

from the speaker. Find the displacement amplitude of particles of air near the microphone. The frequency of sound emitted by speaker is

1.0 kHz

. (Density of air

= 1.2 kg m^{- 3}

and speed of sound in air

= 330 m s^{- 1}

)

EASY

Physics>Oscillations and Waves>Wave Motion - Waves on a String>Power Transmitted by a Wave on a String

The ends of a stretched wire of length L are fixed at

x = 0

and

x = L

. In one experiment the displacement of the wire is

y_{1} = A \sin (\frac{π x}{L}) \sin ω t

and energy is

E_{1}

and in other experiment its displacement is

y_{2} = A \sin (\frac{2 π x}{L}) \sin 2 ω t

and energy is

E_{2}

.

Then:

MEDIUM

Physics>Oscillations and Waves>Wave Motion - Waves on a String>Power Transmitted by a Wave on a String

A point source emits sound equally in all direction in a non-absorbing medium. Two points P and Q are at distance of 2 and 3 m respectively from the source. The ratio of the intensities of the wave at P and Q is.

Two waves of amplitudes A1 and A2 respectively are superimposed. The ratio between the maximum and minimum intensities of the resultant waves is 9:4. The value of A2 A1 is [Assume A1>A2]

Important Questions on Wave Motion - Waves on a String

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Two waves of amplitudes $A_{1}$ and $A_{2}$ respectively are superimposed. The ratio between the maximum and minimum intensities of the resultant waves is $9 : 4$ . The value of $\frac{A_{2}}{A_{1}}$ is [Assume $A_{1} > A_{2}$ ]