A wire of density 9 × 10 3 kg m - 3 is stretched between two clamps 1 m apart and is subjected to an extension of 4 . 9 × 10 - 4 m . What will be the lowest frequency of the transverse vibrations in the wire? Y = 9 × 10 10 N m - 2

Given: A wire of density ρ = 9 × 10 3 kg m - 3 Length l = 1 m y = 9 × 10 10 N m - 2 μ = m l = ρ A × l l = A . ρ T = γ ∆ l l × A Lowest frequency of the vibration n = 1 2 l T μ n = 1 2 l γ ∆ l l × A A . ρ n = 1 2 1 9 × 10 10 × 4 . 9 × 10 - 4 9 × 10 3 n = 35 Hz The lowest frequency of the transverse vibration in the wire n = 35 Hz .

In an experiment, to measure the speed of sound by a resonating air column, a tuning fork of frequency 500 Hz is used. The length of the air column is varied by changing the level of water in the resonance tube. Two successive resonances are heard at air columns of length 50 .7 cm and 83 .9 cm . Which of the following statements is (are) true?

The wavelength of the sound wave is 66 .4 cm .

The resonance at 50 .7 cm corresponds to the fundamental harmonic.

MEDIUM

Physics

IMPORTANT

Earn 100

Wavelength of two notes in air is $(90 / 175) m$ and $(90 / 173)$ $m,$ respectively. Each of these notes produces $4$ beats/s with a third note of a fixed frequency. Calculate the velocity of sound in air.

Important Questions on Superposition and Standing Waves

MEDIUM

Physics

IMPORTANT

PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 7 - Superposition and Standing Waves>ILLUSTRATIONS>Q 7.58

When the wire of a sonometer is

73 cm

long, it is in resonance with a tuning fork. On shortening the wire by

0.5 cm,

it makes

3

beats with the same fork. Calculate the frequency of the tuning fork.

MEDIUM

Physics

IMPORTANT

PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 7 - Superposition and Standing Waves>ILLUSTRATIONS>Q 7.59

Two parts of sonometer wire divided by a movable knife edge differ by

2 \times 10^{- 3} m

and produce

1 beat per second

when sounded together. Find their frequencies if the whole length of the wire is

1 metre

EASY

Physics

IMPORTANT

PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 7 - Superposition and Standing Waves>CONCEPT APPLICATION EXERCISE>Q 1

Two sound waves with amplitude

4 cm

and

3 cm

interfere with a phase difference of

0

Find the resultant amplitude in each case.

HARD

Physics

IMPORTANT

PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 7 - Superposition and Standing Waves>CONCEPT APPLICATION EXERCISE>Q 11

The pulse shown in figure has a speed of

5 cm s^{- 1} .

If the linear mass density of the right string is

0.5

that of the left string, find the ratio of the height of the transmitted pulse to that of the incident pulse.

Question Image

HARD

Physics

IMPORTANT

PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 7 - Superposition and Standing Waves>CONCEPT APPLICATION EXERCISE>Q 13

The figure shows a tube structure in which a signal is sent from one end and is received at the other end. The frequency of the sound source can be varied electronically between,

2000

and

5000 Hz .

Find the frequencies at which maxima of intensity are detected. The speed of sound in air,

340 m s^{- 1} .

Question Image

MEDIUM

Physics

IMPORTANT

PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 7 - Superposition and Standing Waves>CONCEPT APPLICATION EXERCISE>Q 2

The third harmonic of a certain piano wire (

μ = 0.01 kg m^{- 1}

and

T = 500 N

) has a frequency of

600 Hz .

What is the wavelength of the fundamental?

EASY

Physics

IMPORTANT

PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 7 - Superposition and Standing Waves>CONCEPT APPLICATION EXERCISE>Q 6

A wire of density

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

is stretched between two clamps

1 m

apart and is subjected to an extension of

4.9 \times 10^{- 4} m

. What will be the lowest frequency of the transverse vibrations in the wire?

(Y = 9 \times 10^{10} N m^{- 2})

MEDIUM

Physics

IMPORTANT

PHYSICS FOR JOINT ENTRANCE EXAMINATION WAVES AND THERMODYNAMICS>Chapter 7 - Superposition and Standing Waves>CONCEPT APPLICATION EXERCISE>Q 7

A stationary wave is given by $y = 5 \sin \frac{π x}{3} \cos 40 π t$ where $x$ and $y$ are in $cm$ and $t$ is in second. What is the velocity of a particle of the string at the position $x = 1.5 cm$ when $t = \frac{9}{8} s ?$

Wavelength of two notes in air is (90/175)m and (90/173)m, respectively. Each of these notes produces 4 beats/s with a third note of a fixed frequency. Calculate the velocity of sound in air.

Important Questions on Superposition and Standing Waves

Learn and Prepare for any exam you want !

Wavelength of two notes in air is $(90 / 175) m$ and $(90 / 173)$ $m,$ respectively. Each of these notes produces $4$ beats/s with a third note of a fixed frequency. Calculate the velocity of sound in air.