# A string of length 0.4 m and mass 10^(-2)kg is tightly clamped at its ends. The tension in the dtring is 1.6 N. Idential wave pulse are produced

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A string of length 0.4 m and mass 10^(-2)kg is tightly clamped at its ends. The tension in the dtring is 1.6 N. Idential wave pulse are produced at one end at equal intervals of time, Deltat. The minimum value of Deltat which allows constructive inetrference successive pulse is
A. (a) 0.04s
B. (b)0.10s
C. ( c ) 0.20s
D. (d) 0.40 s

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Correct Answer - B
(b) KEY CONCEPT: The time required for constructive interference equal to the time period of a wave pulse.
For a string frequency f = (1)/(2l) sqrt((F)/(m))
:. Time period, T = 2lsqrt((m)/(F))
F = 1.6N, m = (mass)/(length) = (10^(-2))/(0.4) = 2.5 xx 10^(-2)
:. T = 2 xx 0.4 sqrt((2.5 xx 10^(-2))/(1.6)) = 0.1 sec.