Two waves, whose equations are y 1 = 4 sin 20 t - x 3 m and y 2 = 3 sin 20 t - x 3 m are superposed in a medium. Now,

The resultant wave is a travelling wave

The amplitude of the resultant wave is 5 m

The resultant wave is a stationary wave

Two waves, whose equations are y 1 = 4 sin 20 t - x 3 m and y 2 = 3 sin 20 t - x 3 m are superposed in a medium. Now,

The resultant wave is a travelling wave

The waves, whose equations are y 1 = 4 × 10 - 3 · sin 308 π t - x 50 and y 2 = 1 × 10 - 3 · sin 302 π t - x 50 , are superposed in a medium. Now,

The ratio of maximum to minimum intensity is 25 : 9

Beats are produced with a frequency 6 Hz

The ratio of maximum to minimum amplitude is 2 : 1

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IMPORTANT

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Two waves, whose equations are
$y_{1} = 4 \sin (20 t - \frac{x}{3}) m$ and
$y_{2} = 3 \sin (20 t - \frac{x}{3}) m$
are superposed in a medium. Now,

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Important Questions on Waves

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IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 14 - Waves>Assignment>Q 10

The waves, whose equations are

y_{1} = 4 \times 10^{- 3} \cdot \sin (308 π t - \frac{x}{50})

and

y_{2} = 1 \times 10^{- 3} \cdot \sin (302 π t - \frac{x}{50})

, are superposed in a medium. Now,

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IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 14 - Waves>Assignment>Q 12

A transverse sine wave moves along a string in the positive

x

-direction at a speed of

20 cm s^{- 1} .

The wavelength of the wave is

1 m

and its amplitude is

10 cm .

The snapshot of the wave is shown in the figure. The acceleration and velocity of point

P

whose displacement at this instant is

5 cm

are

{\vec{a}}_{p}

and

{\vec{v}}_{p}

respectively. Then
Question Image

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IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 14 - Waves>Assignment>Q 13

In a resonance tube experiment with a closed organ pipe of length

130 cm

, the frequency of tuning fork used is

340 Hz .

Take end connection as

5 cm .

If water is poured into the pipe, then the correct statement(s) is/are (speed of sound in air

= 340 m s^{- 1}

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IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 14 - Waves>Assignment>Q 14

The equation of a standing wave produced on a string fixed at both ends at

x = 0

and

x = L

respectively is

y = (0.8 cm) \sin [(0.314 {cm}^{- 1}) x]

\cos [(600 π s^{- 1}) t] .

Choose the correct statement(s)

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IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 14 - Waves>Assignment>Q 15

A string of length

50 cm

and mass

2.5 g

is fixed at both ends with a tension of

52 N .

A closed organ pipe has length

85 cm .

The string vibrates in its second overtone and the air column in the pipe in its first overtone. Neglect the end correction in the pipe and the speed of sound in air is

340 m s^{- 1} .

Then

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IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 14 - Waves>Assignment>Q 16

A standing wave given by the equation,

S = S_{0}

sink x . \cos w t

is maintained in a homogeneous rod with cross-sectional area

A

and density

d

, where

S

represents displacement of a particle from its mean position. Then select the correct statement(s)

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IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 14 - Waves>Assignment>Q 17

A wave disturbance in a medium is described by

y (x, t) = 0.04 \cos (50 π t + \frac{π}{2}) \cos (10 π x)

, where

x

and

y

are in meters and

' f'

is in seconds.
(i) Displacement node occurs at

x = 0.15 m

(ii) At

t = \frac{1}{50} s

, particle at

x = 0.20 m

will be moving with speed

2 π m s^{- 1}

(iii) At

t = \frac{1}{100} s

, particle at

x = \frac{1}{15} m

will beat a displacement of

0.02 m

from it's own mean position
(N) At

t = \frac{3}{100} s

, particle at

x = \frac{1}{15} m

will beat a displacement of

0.02 m

from it's own mean position

HARD

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IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 14 - Waves>Assignment>Q 19

A taut string (fixed at both ends) vibrates in its

m^{t h}

overtone. The minimum distance between two points which is vibrating with maximum possible amplitude

(A)

and half of the maximum possible amplitude

(\frac{A}{2})

respectively is

' d' .

Then length

' L'

of the string is

Two waves, whose equations are y1=4sin20t-x3m and y2=3sin20t-x3m are superposed in a medium. Now,

Important Questions on Waves

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Two waves, whose equations are
$y_{1} = 4 \sin (20 t - \frac{x}{3}) m$ and
$y_{2} = 3 \sin (20 t - \frac{x}{3}) m$
are superposed in a medium. Now,