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Block A is hanging from vertical spring ...

Block `A` is hanging from vertical spring of spring constant `K` and is rest. Block `B` strikes block `A` with velocity `v` and sticks to it. Then the value of `v` for which the spring just attains natural length is

A

`sqrt(("60 m g"^(2))/(k))`

B

`sqrt(("6 m g"^(2))/(k))`

C

`sqrt(("10 m g"^(2))/(k))`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Since water rises to height of 2 cm in a capillary

If tube is at `60^(@)`, in this case height must be equal to
`h = 2 cm rArr cos 60^(@) = (h)/(l)`
`:. lamda = (h)/(cos 60^(@))=(2)/(1//2)=4 cm`
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Knowledge Check

  • Block A is hanging from a vertical spring and is at rest. Block B strikes the block A with velocity v and sticks to it. Then the value of v for which the spring just attains natural length is :

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    `sqrt((60 mg^2)/(k))`
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    `sqrt((6 mg^2)/(k))`
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    `sqrt((60mg^(2))/k)`
    B
    `sqrt((6mg^(2))/k)`
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