Two speakers are placed as shown in diagram. Mark out the correct statement(s)

If a person moves along A B , he will hear uniform intense sound

If person is moving along A B , he will hear the sound as loud, faint, loud and so on

If a person moves along C D , he will hear uniform intense sound

Two coherent waves represented by, y 1 = A sin ⁡ 2 π λ x 1 - ω t + π 4 and y 2 = A sin ⁡ 2 π λ x 2 - ω t + π 6 are superimposed. The two waves will produce,

destructive interference at x 1 - x 2 = 11 24 λ .

constructive interference at x 1 - x 2 = 2 λ .

destructive interference at x 1 - x 2 = 1.5 λ .

Following are equations of four waves : (i) y 1 = a sin ω t - x ν (ii) y 2 = a cos ω t + x ν (iii) z 1 = a sin ω t - x ν (iv) z 2 = a cos ω t + x ν Which of the following statements is/are correct?

On superposition of ( iii ) and ( iv ) , a transverse stationary wave will be formed.

Superposition of waves ( ii ) and ( iii ) is not possible.

On superposition of ( i ) and ( ii ) , a stationary wave having amplitude a 2 will be formed.

In an experiment, to measure the speed of sound by a resonating air column, a tuning fork of frequency 500 Hz is used. The length of the air column is varied by changing the level of water in the resonance tube. Two successive resonances are heard at air columns of length 50 .7 cm and 83 .9 cm . Which of the following statements is (are) true?

The wavelength of the sound wave is 66 .4 cm .

The resonance at 50 .7 cm corresponds to the fundamental harmonic.

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For a certain transverse standing wave on a long string, an antinode is formed at $x = 0$ and next to it, a node is formed at $x = 0.10 m$ . The displacement $y (t)$ of the string particle at $x = 0$ is shown in the figure.

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Important Questions on Superposition and Standing Waves

MEDIUM

Physics

IMPORTANT

PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 7 - Superposition and Standing Waves>Exercises>Q 14

Two speakers are placed as shown in diagram.

Question Image

Mark out the correct statement(s)

HARD

Physics

IMPORTANT

PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 7 - Superposition and Standing Waves>Exercises>Q 15

Two coherent waves represented by,

y_{1} = A \sin (\frac{2 π}{λ} x_{1} - ω t + \frac{π}{4})

and

y_{2} = A \sin (\frac{2 π}{λ} x_{2} - ω t + \frac{π}{6})

are superimposed. The two waves will produce,

MEDIUM

Physics

IMPORTANT

PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 7 - Superposition and Standing Waves>Exercises>Q 16

Two waves travel down the same string. These waves have the same velocity, frequency

f

and wavelength but having different phase constants

ϕ_{1}

and

ϕ_{2} (< ϕ_{1})

and amplitudes

A_{1}

and

A_{2} (< A_{1}) .

Mark the correct statement(s) for the resultant wave which is produced due to superposition of these two waves.

HARD

Physics

IMPORTANT

PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 7 - Superposition and Standing Waves>Exercises>Q 17

A radio transmitter at position $A$ operates at a wavelength of $20 m$ . A second, identical transmitter is located at a distance $x$ from the first transmitter, at position $B$ . The transmitter are phase locked together such that the second transmitter is lagging $\frac{π}{2}$ out of phase with the first. For which of the following values of $B C - C A$ will the intensity at $C$ be maximum.

Question Image

MEDIUM

Physics

IMPORTANT

PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 7 - Superposition and Standing Waves>Exercises>Q 18

Following are equations of four waves :

(i) $y_{1} = a \sin ω (t - \frac{x}{ν})$ (ii) $y_{2} = a \cos ω (t + \frac{x}{ν})$ (iii) $z_{1} = a \sin ω (t - \frac{x}{ν})$ (iv) $z_{2} = a \cos ω (t + \frac{x}{ν})$

Which of the following statements is/are correct?

MEDIUM

Physics

IMPORTANT

PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 7 - Superposition and Standing Waves>Exercises>Q 19

Two waves of equal frequency

f

and velocity

v

travel in opposite directions along the same path. The waves have amplitudes

A

and

3 A .

Then:

HARD

Physics

IMPORTANT

PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 7 - Superposition and Standing Waves>Exercises>Q 20

A plane wave

y = a \sin (k x + c t)

is incident on a surface. Equation of the reflected wave is:

y^{'} = a^{'} \sin (c t - b x) .

Then which of the following statements are correct?

HARD

Physics

IMPORTANT

PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 7 - Superposition and Standing Waves>Exercises>Q 21

A string is fixed at both ends and transverse oscillations with amplitude

a_{0}

are excited. Which of the following statements are correct?

For a certain transverse standing wave on a long string, an antinode is formed at x=0 and next to it, a node is formed at x=0.10 m. The displacement y(t) of the string particle at x=0 is shown in the figure.

Important Questions on Superposition and Standing Waves

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For a certain transverse standing wave on a long string, an antinode is formed at $x = 0$ and next to it, a node is formed at $x = 0.10 m$ . The displacement $y (t)$ of the string particle at $x = 0$ is shown in the figure.