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Equation of transverse wave propagating in a string having linear mass density 10 gm/m is y=0.5 sin100πt−2.5πx, where x is m metre, y is in mm and t is in second. Then tension in the string is

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a

20 N

b

16 N

c

40 N

d

25 N

answer is B.

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Detailed Solution

Y=0.5sin100πt−2.5πx∴ω=100π rad/s and K=2.5πm−1∴ Velocity of propagation, V=ωK=40 m/sNow Tμ=V⇒T=10×10−3×402N=16N

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