The electric field of a plane electromagnetic wave is given by E → = E 0 x ^ + y ^ sin k z - ω t . Its magnetic field will be given by

E 0 c - x ^ + y ^ sin k z - ω t

EASY

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What type of waves do you expect in vacuum

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Important Questions on Sound

MEDIUM

Science>Physics>Sound>Characteristics of Waves

A wire of length

L

and mass per unit length

6.0 \times 10^{- 3} k g m^{- 1}

is put under tension of

540 N .

Two consecutive frequencies that it resonates at are:

420 H z

and

490 H z .

Then

L

in meters is :

EASY

Science>Physics>Sound>Characteristics of Waves

A stretched string fixed at both ends has

m

nodes, then the length of the string will be

HARD

Science>Physics>Sound>Characteristics of Waves

Find the wrong statement form the following about the equation of stationary wave given by

Y = 0.04 \cos (π x) \sin (50 π t)

m where

t

is in second. Then for the stationary wave.

EASY

Science>Physics>Sound>Characteristics of Waves

A standing wave can be produced by combining

MEDIUM

Science>Physics>Sound>Characteristics of Waves

A granite rod of

60 cm

length is clamped at its middle point and is set into longitudinal vibrations. The density of granite is

2.7 \times 10^{3} kg m^{- 3}

and its Young's modulus is

9.27 \times 10^{10} Pa

. What will be the fundamental frequency of the longitudinal vibrations?

EASY

Science>Physics>Sound>Characteristics of Waves

An electron is constrained to move along the

y

-axis with a speed of

0.1 c

(c is the speed of light) in the presence of electromagnetic wave, whose electric field is

\vec{E} = 30 \hat{j} \sin (1.5 \times 10^{7} t - 5 \times 10^{- 2} x) V m^{- 1} .

where

t

is in seconds and

x

is in meters. The maximum magnetic force experienced by the electron will be: (given

c = 3 \times 10^{8} m s^{- 1}

and electron charge

= 1.6 \times 10^{- 19} C

EASY

Science>Physics>Sound>Characteristics of Waves

A stretched wire of length

260 cm

is set into vibrations. It is divided into three segments whose frequencies are in the ratio

2 : 3 : 4

. Their lengths must be

MEDIUM

Science>Physics>Sound>Characteristics of Waves

Draw a graph between displacement from mean position and time for a body executing free vibration in a vacuum.

MEDIUM

Science>Physics>Sound>Characteristics of Waves

A wire of length

2 L,

is made by joining two wires

A

and

B

of same length but different radii

r

and

2 r

and made of the same material. It is vibrating at a frequency such that the joint of the two wires forms a node. If the number of antinodes in wire

A

p

and that in

B

q

then ratio

p : q

is:

MEDIUM

Science>Physics>Sound>Characteristics of Waves

A string is clamped at both the ends and it is vibrating in its

4^{t h}

harmonic. The equation of the stationary wave is

y = 0.3 \sin (0.157 x) c o s (200 π t)

. The length of the string is
(All quantities are in

S I

units.)

EASY

Science>Physics>Sound>Characteristics of Waves

When a sound wave is reflected from the boundary of a denser medium, the compression of the incident wave is returned as:

EASY

Science>Physics>Sound>Characteristics of Waves

In sonometer experiment, the string of length

L

under tension vibrates in second overtone between two bridges. The amplitude of vibration is maximum at

MEDIUM

Science>Physics>Sound>Characteristics of Waves

A closed pipe of length $300 cm$ contains some sand. A speaker is connected at one of its ends. The frequency of the speaker at which the sand will arrange itself in $20$ equidistant piles is close to (velocity of sound is $300 m s^{- 1}$ )

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MEDIUM

Science>Physics>Sound>Characteristics of Waves

The electric field of a plane electromagnetic wave is given by $\vec{E} = E_{0} (\hat{x} + \hat{y}) \sin (k z - ω t)$ . Its magnetic field will be given by

HARD

Science>Physics>Sound>Characteristics of Waves

Explain the formation of stationary waves by the analytical method. Show that nodes and antinodes are equally spaced in stationary waves.

EASY

Science>Physics>Sound>Characteristics of Waves

Two travelling waves of equal amplitudes and equal frequencies move in opposite directions along a string. They interfere to produce a stationary wave whose equation is given by

y = (10 \cos π x \sin \frac{2 π t}{T}) cm

. The amplitude of the particle at

x = \frac{4}{3} cm

will be _____

cm .

EASY

Science>Physics>Sound>Characteristics of Waves

The wave having compression and rarefaction is known as

MEDIUM

Science>Physics>Sound>Characteristics of Waves

n_{1}, n_{2}

and

n_{3}

are the fundamental frequencies of three segments into which a string is divided, then the original fundamental frequency

n

of the string is given by:

HARD

Science>Physics>Sound>Characteristics of Waves

The total length of a sonometer wire fixed between two bridges is

110 cm

. Now, two more bridges are placed to divide the length of the wire in the ratio

6 : 3 : 2

. If the tension in the wire is

400 N

and the mass per unit length of the wire is

0.01 kg m^{- 1}

, then the minimum common frequency with which all the three parts can vibrate, is

EASY

Science>Physics>Sound>Characteristics of Waves

A string is stretched between fixed points separated by 75.0 cm. It is observed to have resonant frequencies of 420 Hz and 315 Hz. There are no other resonant frequencier between these two. The lowest resonant frequency for this string is:

What type of waves do you expect in vacuum

Important Questions on Sound

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