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What is end correction? Is the end correction same for a pipe open at both ends and closed at one end?

Important Questions on Waves

MEDIUM

Physics>Mechanical Wave>Waves>Standing 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 :

MEDIUM

Physics>Mechanical Wave>Waves>Standing 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.)

HARD

Physics>Mechanical Wave>Waves>Standing 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.

HARD

Physics>Mechanical Wave>Waves>Standing Waves

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

HARD

Physics>Mechanical Wave>Waves>Standing 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

Physics>Mechanical Wave>Waves>Standing Waves

A standing wave can be produced by combining

MEDIUM

Physics>Mechanical Wave>Waves>Standing 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

Physics>Mechanical Wave>Waves>Standing Waves

The end correction of a resonance column is

1 cm

. If the shortest length resonating with the tuning fork is

10 cm

, the next resonating length should be

MEDIUM

Physics>Mechanical Wave>Waves>Standing 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?

MEDIUM

Physics>Mechanical Wave>Waves>Standing Waves

A one metre long (both ends open) organ pipe is kept in a gas that has double the density of air at STP. Assuming the speed of sound in air at STP is

300 m / s,

the frequency difference between the fundamental and second harmonic of this pipe is __________ Hz.

EASY

Physics>Mechanical Wave>Waves>Standing Waves

A string is vibrating in its fifth overtone between two rigid supports

2.4 m

apart. The distance between successive node and antinode is

HARD

Physics>Mechanical Wave>Waves>Standing Waves

Explain the formation of stationary waves in stretched strings and hence deduce the law of transverse waves in stretched strings.

MEDIUM

Physics>Mechanical Wave>Waves>Standing Waves

A closed organ pipe has a fundamental frequency of

1.5 kHz

. The number of overtones that can be distinctly heard by a person with this organ pipe will be

(

Assume that the highest frequency a person can hear is

20,000 Hz

EASY

Physics>Mechanical Wave>Waves>Standing Waves

The equation of a stationary wave is

y = 2 \sin (\frac{π x}{15}) \cos (48 π t)

. The distance between a node and its next antinode is

EASY

Physics>Mechanical Wave>Waves>Standing Waves

The fundamental frequency of a closed organ pipe of length

20 cm

is equal to the second overtone of an organ pipe open at both the ends. The length of the organ pipe open at both the ends is

MEDIUM

Physics>Mechanical Wave>Waves>Standing Waves

A pipe of

1 m

length is closed at one end. Taking the speed of sound in air as

320 m s^{- 1}

, the air column in the pipe cannot resonate for the frequency

(i n H z)

EASY

Physics>Mechanical Wave>Waves>Standing Waves

The fundamental frequency of an air column in a pipe closed at one end is

100 Hz

. If the same pipe is open at both the ends, the frequencies produced in

Hz

are

MEDIUM

Physics>Mechanical Wave>Waves>Standing 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:

EASY

Physics>Mechanical Wave>Waves>Standing 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

Physics>Mechanical Wave>Waves>Standing Waves

Show that only odd harmonics are present as overtones in the case of an air column vibrating in a pipe closed at one end.

What is end correction? Is the end correction same for a pipe open at both ends and closed at one end?

Important Questions on Waves

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