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Transverse and longitudinal waves

The equation of a wave on a string of linear mass density 0.04

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Solving time: 2 mins

The equation of a wave on a string of linear mass density $0.04 kg m^{- 1}$ is given by
$y = 0.02 (m) sin [2 π (\frac{t}{0.04 ( s )} - \frac{x}{0.50 ( m )})]$ .
The tension in the string is

Name: Video solution 1: The equation of a wave on a string of linear mass density 0.04 kg m−1 is given byy=0.02( m)sin[2π(0.04(s)t−0.50(m)x)].The tension in the string is
Uploaded: 2023-04-21T10:25:43.000Z
Duration: 22 min
Description: Video solution 1: The equation of a wave on a string of linear mass density 0.04 kg m−1 is given byy=0.02( m)sin[2π(0.04(s)t−0.50(m)x)].The tension in the string is

4.0 N

12.5 N

0.5 N

6.25 N

Views: 6,119 students

Updated on: Sep 6, 2023

Found 8 tutors discussing this question

Levi Discussed

The equation of a wave on a string of linear mass density

0.04 kg m^{- 1}

is given by

y = 0.02 (m) sin [2 π (\frac{t}{0.04 ( s )} - \frac{x}{0.50 ( m )})]

.
The tension in the string is

11 mins ago

Discuss this question LIVE

11 mins ago

Text solutionVerified

y = 0.02 (m) sin [2 π (\frac{t}{0.04 ( s )}) - \frac{x}{0.50 ( m )}]

But

y = a sin (ω t - k x)

∴ ω = \frac{2 π}{0.04} \Rightarrow v = \frac{1}{0.04} = 25 Hz k = \frac{2 π}{0.50} \Rightarrow λ = 0.5 m

∴

velocity,

v = v λ = 25 \times 0.5 m / s = 12.5 m / s

Velocity on a string is given by

v = \frac{T}{μ} ∴ T = v^{2} \times μ = (12.5)^{2} \times 0.04 = 6.25 N

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Question Text	The equation of a wave on a string of linear mass density $0.04 kg m^{- 1}$ is given by $y = 0.02 (m) sin [2 π (\frac{t}{0.04 ( s )} - \frac{x}{0.50 ( m )})]$ . The tension in the string is
Updated On	Sep 6, 2023
Topic	Waves
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 2
Upvotes	265
Avg. Video Duration	11 min

The equation of a wave on a string of linear mass density $0.04 kg m^{- 1}$ is given by
$y = 0.02 (m) sin [2 π (\frac{t}{0.04 ( s )} - \frac{x}{0.50 ( m )})]$ .
The tension in the string is

Text solutionVerified

Filo tutor solutions (2)

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The equation of a wave on a string of linear mass density 0.04 kg m−1 is given byy=0.02( m)sin[2π(0.04(s)t​−0.50(m)x​)].The tension in the string is

Text solutionVerified

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The equation of a wave on a string of linear mass density $0.04 kg m^{- 1}$ is given by
$y = 0.02 (m) sin [2 π (\frac{t}{0.04 ( s )} - \frac{x}{0.50 ( m )})]$ .
The tension in the string is