Waves

A stretched wire vibrates with a frequency of $80 H z$ when the tension is $T_{1}$ and frequency of $150 H z$ when the tension is $T_{2}$ . When the tension is $(T_{1} + T_{2})$ , its frequency of vibration is (in Hz)

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Contributor-Level 10

Frequency in the stretched wire is

$f = \frac{1}{2 l} \sqrt[]{\frac{T}{μ}}$

$f_{1}^{2} = \frac{T_{1}}{4 μ l^{2}}$

$f_{2}^{2} = \frac{T_{2}}{4 μ l^{2}}$

$\frac{T_{1} + T_{2}}{4 μ l^{2}} = f^{2}$

$f^{2} = f_{1}^{2} + f_{1}^{2}$

$f = \sqrt[]{{(80)}^{2} + {(150)}^{2}} = 170 H z$

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New answer posted

a month ago

A source of frequency $' X'$ gives 5 beats/s when sounded with a source of frequency $95 H z$ . The third harmonic of source $(X)$ gives 10 beats/s when sound with a source of frequency $290 H z$ . The value of $X$ is

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Contributor-Level 10

Given beat frequency

$|X - 95| = 5$

$a n d |3 X - 290| = 10$

$? X = 100 H z$

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a month ago

Equation of a standing wave is expressed as y = 2Asinωtcoskx. In this equation, quantity ω/k represents

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Contributor-Level 10

Equation of component waves are

y = Asin (ωt – kx) and y = Asin (ωt + kx)

So speed of component wave is ω/k

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a month ago

A tuning fork A of unknown frequency produces 5 beats/s with a fork of known frequency 340 Hz. When fork A is filed, the beat frequency decreases to 2 beats/s. What is the frequency of fork A?

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Contributor-Level 10

Frequency increases on filing. So, initial frequency of A is 335 Hz.

f = 340 – 5 = 335 Hz

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a month ago

Waves Class 12th

In an experiment to determine the velocity of sound in air at room temperature using a resonance tube, the first resonance is observed when the air column has a length of 20.0 cm for a tuning form of frequency 400 Hz is used. The velocity of the sound at room temperature is 336 ms^-1. The third resonance is observed when the air column has a length of ____________cm.

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Contributor-Level 10

According to Concept of resonance tube, we can write

$\frac{λ}{4} + e = l_{1} a n d \frac{3 λ}{4} + e = l_{2} \Rightarrow \frac{λ}{2} = l_{2} - l_{1} \Rightarrow \frac{V}{2 ν} = l_{2} - l_{1}$

$\Rightarrow l_{2} = \frac{v}{2 ν} + l_{1} = \frac{336}{400} + 0.20 = 0.84 + 0.20 = 1.04 m = 104 c m$

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a month ago

A sine wave is travelling in a medium. The minimum distance between the two particles, always having same speed, is

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Contributor-Level 10

Answer (3)

Particles having phase difference of $?$ will move with same speed.

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a month ago

A wave given by equation y = 1mm sin $(\frac{n x}{30} - 5 n t)$ is produced in a string 100m long of mass 1 kg. What is the tension (in N) in string? x is in m & t in sec.

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Contributor-Level 10

$v = \frac{ω}{k} = \frac{5 π * 30}{π} = 150 = \sqrt[]{\frac{\frac{T}{1}}{100}}$

$\Rightarrow T = \frac{2250000}{100} = 225 N$

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New answer posted

2 months ago

Waves Class 12th

A source of sound S is moving with a velocity of 50 m/s towards a stationary observer. The observer measures the frequency of the source as 1000 Hz. What will be the apparent frequency (in Hz) of the source when it is moving away from the observer after crossing him? (Take speed of sound in air as 350 m/s)

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Contributor-Level 10

Kindly consider the following figure

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New answer posted

2 months ago

Speed of sound in a resonance tube experiment is given by the expression v = 2f₀(l₂ – l₁) where f? is the frequency of the tuning fork and l₁, l₂ are length of the air column. Consider f₀ = 300 Hz with no error in its value. Lengths of the air column l₁ and l₂ are measured as 25.0 cm and 80.0 cm respectively. Find the absolute error in the speed of sound (in m/s).

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Contributor-Level 10

Δν = 2f? (Δl? + Δl? ) = 2 * 300 (0.1 + 0.1) * 10? ² = 1.2 m/s

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New answer posted

2 months ago

A sound source is located somewhere along the x-axis. Experiment shows that the same wavefront simultaneously reaches listeners at x = -10m and x = +4.0m. A third listener is positioned along the positive y-axis. What is y-coordinate (in m) if the same wavefront reaches at him at the same instant it does the first two listeners?

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