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Q.

The velocity of transverse wave in a string is v=T/m where T is the tension in the string and m is the mass per unit length. If T = 3.0 kgf, the mass of string is 2.5 g and the length of string is v = 1.000 m, then the percentage error in the measurement of velocity is

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a

0.5

b

0.7

c

2.3

d

3.6

answer is D.

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Detailed Solution

v=Tm=m′gMl1/2=m′lgM1/2It follows from here,Δvv=12Δm′m′+Δll+ΔMM=120.13.0+0.0011.000+0.12.5=12[0.03+0.001+0.04]=0.036Percentage error in the measurement =0.036×100=3.6
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