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The linear density of a string is 10^{-4} g/m.  y = 0.02\sin(x + 30t). Tension in the string will be

  • Option 1)

    0.09 N

  • Option 2)

    0.36 N

  • Option 3)

    0.9 N

  • Option 4)

    3.6 N

 

Answers (1)

best_answer

v = \frac{\omega}{k} = \frac{30}{T} = 30 m/s

v =\sqrt \frac{T}{m} \Rightarrow = v^ {2} m = 900 X 10 ^{-4}v =\sqrt \frac{T}{m} \Rightarrow T = v^ {2} m = 900 X 10 ^{-4}

T = 0.09 N

 

Speed of wave on string -

v= \sqrt{\frac{T}{\mu }}
 

- wherein

T= Tension in the string

\mu = linear mass density

 

 

 


Option 1)

0.09 N

This is correct.

Option 2)

0.36 N

This is incorrect.

Option 3)

0.9 N

This is incorrect.

Option 4)

3.6 N

This is incorrect.

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Plabita

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