HARD

JEE Main/Advance

IMPORTANT

Earn 100

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)

50% studentsanswered this correctly

Important Questions on Waves

HARD

JEE Main/Advance

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

JEE Main/Advance

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

EASY

JEE Main/Advance

IMPORTANT

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

MEDIUM

JEE Main/Advance

IMPORTANT

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

MEDIUM

JEE Main/Advance

IMPORTANT

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

HARD

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 14 - Waves>Assignment>Q 9

For the incident wave from medium (i) to medium (ii) at the interface, the amplitude transmission coefficient is $0.4$ . Calculate the percentage of transmitted energy across the interface. $[C_{1}$ and $C_{2}$ are the wave velocities in the two different media respectively]

Question Image

MEDIUM

JEE Main/Advance

IMPORTANT

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

In a stationary waves pattern which is formed after reflection of a waves from an obstacle, the ratio of the amplitude at an antinode to the amplitude at node is

4

. What percentage of energy is transmitted?

A standing wave given by the equation, S=S0 sinkx.coswt 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)

Important Questions on Waves

Learn and Prepare for any exam you want !

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)