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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 Questions on Waves

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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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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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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

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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

EASY

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Gamma Question Bank for Engineering Physics>Chapter 14 - Waves>Assignment>Q 11

Three waves are propagating in same direction and pass through a point simultaneously. The variation of electric field with time is as

$E_{1} = E_{0} \cos ω t, E_{2} = 2 E_{0} \sin ω t$ and
$E_{3} = 5 E_{0} \cos (ω t + 53 °);$ and intensity due to
first wave at that point is $I_{0} .$ Then

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Gamma Question Bank for Engineering Physics>Chapter 14 - Waves>Assignment>Q 6

A uniform string of linear mass density

0.5 kg m^{- 1}

is stretched to a tension of

800 N

. If mean power (in W) required to maintain a travelling wave of amplitude of

5 mm

and wavelength

0.1 m

k \times 2 π^{2}

, then find integral value of

k

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Gamma Question Bank for Engineering Physics>Chapter 14 - Waves>Assignment>Q 7

The ratio of intensities between two coherent sound source is

9 : 4

. If difference of loudness in

dB

between maximum and minimum intensities when they interfere in space is

10 \log k

, then find

k

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 cmsin0.314 cm-1x cos600π s-1t. Choose the correct statement(s)

Important Questions on Waves

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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)