QJEEM21Ph3dfd: JEE Main 2021 Physics - Class 11 JEEM21Ph3dfd Solution: The mass per unit length of a uniform wire is 0.135 g/cm. A…

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The mass per unit length of a uniform wire is 0.135 g/cm. A transverse wave of the form y =

-

0.21 sin (x + 30t) is produced in it, where x is in meter and t is in second. Then, the expected value of tension in the wire is x

\times

10^{$-$ 2} N. Value of x is _________. (Round off to the nearest integer)

Accepted Answer

μ = 0.135

gm/cm

μ = 0.135 \times \frac{10^{- 3}}{10^{- 2}} \frac{k g}{m}

y =

-

0.21 sin (x + 30t)

v = \frac{ω}{K} = \frac{30}{1}

= 30 m/s

v =

\sqrt{\frac{T}{μ}}

T = v²

\times

μ

T = (30)²

\times

0.135

\times

10^{$-$ 1}

T = 900

\times

0.135

\times

10^{$-$ 1}

T = 12.15 N

T = 1215

\times

10^{$-$ 2} N

x = 1215

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