Assertion : A wave can be represented by function y = f ( k x ± ω t ) . Reason : Because it satisfies the differential equation ∂ 2 y ∂ x 2 = 1 v 2 ∂ 2 y ∂ t 2 where v = ω k

If both assertion and reason are true and reason is the correct explanation of assertion.

If both assertion and reason are true but reason is not the correct explanation of assertion.

If Assertion is true but reason is false.

If both assertion and reason are false.

An amplitude modulated signal is plotted below: Which one of the following best describes the above signal?

9 + sin 2 π × 10 4 t sin 2 . 5 π × 10 5 t V

9 + sin 2 . 5 π × 10 5 t sin 2 π × 10 4 t V

1 + 9 sin 2 π × 10 4 t sin 2 . 5 π × 10 5 t V

9 + sin 4 π × 10 4 t sin 5 π × 10 5 t V

The electric field part of an electromagnetic wave in a medium is represented by E x = 0 ; E y = 2 . 5 N C cos 2 π × 10 6 rad m t - π × 10 - 2 rad s x ; E 2 = 0 . The wave is

moving along x direction with frequency 10 6 Hz and wavelength 200 m .

moving along y direction with frequency 2 π × 10 6 Hz and wavelength 200 m .

moving along x direction with frequency 10 6 Hz and wavelength 100 m .

moving along x -direction with frequency 10 6 Hz and wavelength 200 m .

When a string is divided into three segments of lengths l 1 , l 2 and l 3 the fundamental frequencies of these three segments are ν 1 , ν 2 and ν 3 respectively. The original fundamental frequency ν of the string is

1 ν = 1 ν 1 + 1 ν 2 + 1 ν 3

A travelling harmonic wave is represented by the equation y x , t = 10 - 3 sin 50 t + 2 x , where x and y are in meter and t is in seconds. Which of the following is a correct statement about the wave?

The wave is propagating along the negative x -axis with speed 25 m s - 1

The wave is propagating along the positive x -axis with speed 25 m s - 1

The wave is propagating along the positive x -axis with speed 100 m s - 1

The wave is propagating along the negative x -axis with speed 100 m s - 1

E M B I B E

Alpha Question Bank for Medical: Physics>Chapter 20 - Wave Motion on a String>Exercise-2>Q 50

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Assertion : The wave function of a pulse is given by $y = \frac{3}{(2 x + 3 t + 4)}$ is propagates in ( $- ve x -$ direction)

Reason : The given wave function is of the form $y = f (k x + ω t)$ which represent a wave travelling in negative $x$ - direction.

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Important Questions on Wave Motion on a String

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Alpha Question Bank for Medical: Physics>Chapter 20 - Wave Motion on a String>Exercise-2>Q 51

Assertion : Standing waves do not transfered energy in the medium.

Reason : Every particle vibrates with its own energy and it does not share its energy with any other particle

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Alpha Question Bank for Medical: Physics>Chapter 20 - Wave Motion on a String>Exercise-2>Q 53

Assertion : A wave can be represented by function $y = f (k x \pm ω t) .$

Reason : Because it satisfies the differential equation
$\frac{\partial^{2} y}{\partial x^{2}} = \frac{1}{v^{2}} (\frac{\partial^{2} y}{\partial t^{2}}) where v = \frac{ω}{k}$

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Alpha Question Bank for Medical: Physics>Chapter 20 - Wave Motion on a String>Exercise-3>Q 1

Which of the following four alternatives is not correct? We need modulation:

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Alpha Question Bank for Medical: Physics>Chapter 20 - Wave Motion on a String>Exercise-3>Q 2

Choose the correct statement :

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Alpha Question Bank for Medical: Physics>Chapter 20 - Wave Motion on a String>Exercise-3>Q 3

An amplitude modulated signal is plotted below:

Question Image

Which one of the following best describes the above signal?

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Alpha Question Bank for Medical: Physics>Chapter 20 - Wave Motion on a String>Exercise-3>Q 4

Two identical piano wires kept under the same tension

T

have a fundamental frequency of

600 Hz

. The fractional increase in the tension of one of the wires which will lead to occurrence of 6 beats/s when both the wires oscillate together would be

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Alpha Question Bank for Medical: Physics>Chapter 20 - Wave Motion on a String>Exercise-3>Q 5

The electric field part of an electromagnetic wave in a medium is represented by $E_{x} = 0$ ; $E_{y} = 2.5 \frac{N}{C} \cos [(2 π \times 10^{6} \frac{rad}{m}) t - (π \times 10^{- 2} \frac{rad}{s}) x]$ ; $E_{2} = 0 .$ The wave is