1.

A uniform string of length 10 m is suspended from a rigid support A short wave pulse is introduced at its lowest end it starts moving up the string the time taken to reach the support is (take `g=10m//sec^(2)`)A. 1 secB. 2 secC. `2sqrt(2)`D. 4 sec

Answer» Correct Answer - B
Let mass per unit length be `mu`.
Tension at a distance `x` from lowest point is
`T=mugx`
`V=sqrt((T)/(mu))=sqrt(gx)`
`v^(2)=gx`
`a=(vdv)/(dx)=(g)/(2)`
`l=(1)/(2)((g)/(2))t^(2)`
`t=sqrt((4l)/(g))=sqrt((4xx10)/(10))=2sec`.


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