You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XIII

Physics

Transmission of Wave

A travelling ...

Question

A travelling wave is partly reflected and partly transmitted from a rigid boundary. Let $a_{i}, a_{r}$ and $a_{t}$ be the amplitudes of incident wave, reflected wave and transmitted wave and $I_{i}, I_{r}$ and $I_{t}$ be the corresponding intensities. Then, choose the correct alternative.

\frac{I_{i}}{I_{r}} = {(\frac{a_{i}}{a_{r}})}^{2}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

\frac{I_{i}}{I_{t}} = {(\frac{a_{i}}{a_{t}})}^{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{I_{r}}{I_{t}} = {(\frac{a_{r}}{a_{t}})}^{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

All of these

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $\frac{I_{i}}{I_{r}} = {(\frac{a_{i}}{a_{r}})}^{2}$
Relation between intensity and amplitude of wave,
$\frac{I_{1}}{I_{2}} = {(\frac{a_{1}}{a_{2}})}^{2}$
The above relation is valid only when properties like density of medium, speed of wave, etc. remains the same.
$(I = \frac{1}{2} ρ v ω^{2} a^{2})$
In incident and reflected waves medium is same, therefore other properties are same. Hence,
$\frac{I_{i}}{I_{t}} = {(\frac{a_{i}}{a_{r}})}^{2}$

Suggest Corrections

Similar questions

Q. A travelling wave is partly reflected and partly transmitted from a rigid boundary. Let

a_{i}, a_{r}

and

a_{t}

be the amplitudes of incident wave, reflected wave and transmitted wave and

I_{i}, I_{r}

and

I_{t}

be the corresponding intensities. Then, choose the correct alternative.

Q. Two strings

1

and

2

make a junction of partly reflected and partly transmitted waves. The linear mass density of string

2

is four times that of string

1

, and the boundary between the two strings is at

x = 0

. The expression for the incident wave is

y_{i} = A_{i} cos (k_{1} x - ω_{1} t)

. Which of the following relations is correct, if average power carried by the incident wave, transmitted wave and reflected wave are

P_{i}, P_{t} & P_{r}

respectively? [Assume tension in string

1

and

2

to be the same]

Q. A harmonic wave is travelling on string

1

. At the junction with string

2

, it is partly reflected and partly transmitted. The linear mass density of string

2

9

times that of string

1

, and that the boundary between the two strings is at

x = 0

. If the expression for the incident wave is

y_{i} = (3 cm) cos [(3.14 {cm}^{- 1}) x - (314 {rad s}^{- 1}) t]

. What is the expression for the transmitted waves?

Q. A harmonic wave is travelling on string 1. At a junction with string 2, it is partly reflected and partly transmitted. The linear mass density of the second string is four times that of the first string and the boundary between the two strings is at x = 0. If the expression for the incident wave is

y_{1} = A_{1} cos (k_{1} x - ω_{1} t)

What is the equation for the reflected wave in terms of

A_{1}, k_{1}

and

ω_{1}

A wave is travelling in string 1 with velocity $v_{1}$ . It is then both reflected and transmitted from a joint to string 2 where the velocity is $v_{2}$ . If $A_{i}$ represents the incident amplitude, What are the reflected and transmitted amplitudes?

Join BYJU'S Learning Program

Explore more

Transmission of Wave

Standard XIII Physics

Join BYJU'S Learning Program

A travelling wave is partly reflected and partly transmitted from a rigid boundary. Let ai,ar and at be the amplitudes of incident wave, reflected wave and transmitted wave and Ii,Ir and It be the corresponding intensities. Then, choose the correct alternative.

A travelling wave is partly reflected and partly transmitted from a rigid boundary. Let $a_{i}, a_{r}$ and $a_{t}$ be the amplitudes of incident wave, reflected wave and transmitted wave and $I_{i}, I_{r}$ and $I_{t}$ be the corresponding intensities. Then, choose the correct alternative.