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Standard XII

Physics

Variation of Intensity in Space

A string has ...

Question

A string has a mass per unit length of $10^{- 6} k g c m^{- 1}$ . The equation of simple harmonic wave produced in it is $y = 0.2 sin (2 x + 80 t)$ . The tension in the string is

0.0016 N

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0.16 N

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16 N

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1.6 N

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Solution

The correct option is B $0.16 N$
velocity of wave $= \frac{w}{K} = \frac{80}{2} = 40 m s^{- 1}$
but $v = \sqrt{\frac{T}{μ}}$
$T = 10^{- 6} \times (40)^{2}$
$= 16 \times 10^{2} \times \frac{10^{- 6}}{10^{- 2}} k g m^{- 1}$
$= 16 \times 10^{- 2}$
$= 0.16 N$

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A string has a mass per unit length of 10−6kgcm−1. The equation of simple harmonic wave produced in it is y=0.2sin(2x+80t). The tension in the string is

The correct option is B 0.16Nvelocity of wave =wK=802=40ms−1but v=√TμT=10−6×(40)2=16×102×10−610−2kgm−1=16×10−2=0.16 N

A string has a mass per unit length of $10^{- 6} k g c m^{- 1}$ . The equation of simple harmonic wave produced in it is $y = 0.2 sin (2 x + 80 t)$ . The tension in the string is

The correct option is B $0.16 N$
velocity of wave $= \frac{w}{K} = \frac{80}{2} = 40 m s^{- 1}$
but $v = \sqrt{\frac{T}{μ}}$
$T = 10^{- 6} \times (40)^{2}$
$= 16 \times 10^{2} \times \frac{10^{- 6}}{10^{- 2}} k g m^{- 1}$
$= 16 \times 10^{- 2}$
$= 0.16 N$