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

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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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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-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

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Alpha Question Bank for Medical: Physics>Chapter 20 - Wave Motion on a String>Exercise-3>Q 6

A wave in a string has an amplitude of

2 cm

The wave travels in the

+ ve

direction of

x

axis with a speed of

128 m s^{- 1}

and it is noted that

5

complete waves fit in

4 m

length of the string. The equation describing the wave is

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Alpha Question Bank for Medical: Physics>Chapter 20 - Wave Motion on a String>Exercise-3>Q 8

Two waves are represented by the equations

y_{1} = asin (ωt + kx + 0.57)

and

y_{2} = acos (ωt + kx)

where

x

is in meter and

t

in sec. The phase difference between them is

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Alpha Question Bank for Medical: Physics>Chapter 20 - Wave Motion on a String>Exercise-3>Q 10

The equation of a simple harmonic motion is given by

y = 3 \sin [\frac{π}{2} (50 t - x)]

, where

x

and

y

are in metres and

t

is in seconds, the ratio of maximum particle velocity to the wave velocity is

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Alpha Question Bank for Medical: Physics>Chapter 20 - Wave Motion on a String>Exercise-3>Q 11

A wave travelling in the

+ ve x

-direction having maximum displacement along

y

-direction is

1 m

, wavelength

2 π m

and frequency

\frac{1}{π} Hz

is represented by

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Alpha Question Bank for Medical: Physics>Chapter 20 - Wave Motion on a String>Exercise-3>Q 14

Five sinusoidal waves have the same frequency

500 Hz

but their amplitudes are and the ratio

2 : \frac{1}{2} : \frac{1}{2} : 1 : 1

and their phase angles

0, \frac{π}{6}, \frac{π}{3}, \frac{π}{2}

and

π

respectively. The phase angle of resultant wave obtained by the superposition of resultant wave obtained by the superposition of these five waves is

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Alpha Question Bank for Medical: Physics>Chapter 20 - Wave Motion on a String>Exercise-3>Q 15

The equation of a wave on a string of linear mass density

0.04 kg m^{- 1}

is given by,

y = 0.02 \sin [2 π (\frac{t}{0.04 (s)} - \frac{x}{0.50 (m)})]

. The tension in the string is

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Alpha Question Bank for Medical: Physics>Chapter 20 - Wave Motion on a String>Exercise-3>Q 16

The transverse displacement

y (x, t)

of a wave on a string is given by,

y (x, t) = e^{- (a x^{2} + b t^{2} + 2 \sqrt{a b} x t)}

. This represents a