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A particle is suspended from a string of...

A particle is suspended from a string of length R. It is given a velocity `u = 3 sqrt(gR)` at the bottom

Match the following
`{:(,"Table-1",,"Table-2"),("(A)","Velocity at B","(P)","7 mg"),("(B)","Velocity at C","(Q)",sqrt(5gR)),("(C)","Tension in string at B","(R)",sqrt(7gR)),("(D)","Tension in string at C","(S)","5 mg"),(,,"(T)","None"):}`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
`v_(B)^(2)=u_(A)^(2)-2gh_(AB)=(9gR)-(2gR)=7gR`
`therefore" "v_(B)=sqrt(7gR)`
Further, `T_(B)=(mv_(B)^(2))/(R)=7mg`
Again, `v_(C)^(2)=v_(A)^(2)-2gh_(AC)=(9gR)-2(2R)=5gR`
`therefore" "v_(C)=sqrt(5gR)`
Further, `T_(C)+mg=(mv_(C)^(2))/(R)`
`therefore" T_(C)=4mg`
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