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A string of length l fixed at one end c...

A string of length l fixed at one end carries a mass `m` at the other end. The strings makes `(2)/(pi)revs^(-1)` around the axis through the fixed end as shown in the figure, the tension in the string is

A

16 ml

B

4 ml

C

8 ml

D

2 ml

Text Solution

Verified by Experts

The correct Answer is:
A
Balancing horizontal forces,
`Tsintheta=mromega^(2)`
or `Tsintheta=m(l sintheta)omega^(2)`
`therefore" "T=mlomega^(2)=ml(2pif)^(2)`
`=ml(2pixx(2)/(pi))^(2)=16ml`
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