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

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4 N

12.5 N

0.5 N

6.25 N

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detailed solution

Correct option is D

We know that velocity of wave on the string is v, from the given equation velocty of the wave is v=ωκ on string V=Tμ ⇒V2=Tμ ⇒T=μ.v2 ⇒T=μw2k2 ⇒T=0.04×0.500.042 = 6.25 N

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The equation of a wave on string of linear mass density 0.04 kg/m is given by y=0.02sin2πt0.04−x0.50. The tension in the string is

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Ready to Test Your Skills?

free study material

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