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A string of length '2a' has been tied at...

A string of length `'2a'` has been tied at `A` and `B` such that `AB='a'`. The string is passing through a bead `C` and initially the bead is very close to`A`. Now the bead is allowed to fall. Let `h` be the height by which the bead falls when the string becomes taut and `v` be the speed of the bead just after the string becomes taut. Pick correct option (s):-

A

`v=sqrt(3ag)sin(26.5^(@))`

B

`v=sqrt(1.5ag)sin(26.5^(@))`

C

`h=(3a)/5`

D

`h=(3a)/4`

Text Solution

Verified by Experts

The correct Answer is:
B, D
`h=(3a)/4`
`v_(0)=sqrt(2gh)`
`v_(0)=sqrt(1.5ag)` and `v=v_(0)cos(90^(@)-26.5^(@))`
`implies v_(0)sin(26.5^(@))`
`implies v=sqrt(1.5ag) sin (26.5^(@))`
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