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A string of length 0.4m and mass 10^(-2) kg is tightly clamped at its ends. The tension in the string is 1.6N. Identical wave pulses are produced at one end at equal intervals of time, ∆t. The minimum value of ∆t which allows constructive interference between successive pulses is?

(a) 0.05s

(b) 0.10s

(c) 0.20s

(d) 0.40s

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The correct answer is (b) 0.10s

For explanation: Mass per unit length of the string,

m=10^-2/0.4=2.5×(10^-2)kg/m

Velocity of the wave in the string,

v=√(T/m)=√(1.6/(2.5×10))=8m/s

For constructive interference between successive pulses, the minimum time interval is

∆tmin=2L/v=(2×0.4)/8=0.10s.

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