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A spring of constant K is cut into t...

A spring of constant K is cut into two parts of length in the ratio ` 2 : 3` . The spring constant of large spring is

A

`(5)/(3)K`

B

`(2)/(3)K`

C

k

D

`(3)/(5)k`

Text Solution

Verified by Experts

The correct Answer is:
A
As , `Y =(Ft)/(A. Delta l)
`rArr " " F=((AY)/(l)).Deltal`
`As" " |F|= kl`
`So, " " kn prop(AY)/(l)therefore K prop(1)/(l)`
Length of bigger spring `l'=(3)/(5)l`
`So," "(K')/(k)= (l)/((3)/(5)l)=(5)/(3)`
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