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If k(s) and k(p) respectively are effect...

If `k_(s)` and `k_(p)` respectively are effective spring constant in series and parallel combination of springs as shown in figure, find `(k_(s))/(k_(p))`.

A

`(9)/(2)`

B

`(3)/(7)`

C

`(2)/(9)`

D

`(7)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
C
The effective spring constant `k_(s)` of this arrangement is
`(1)/(k_(s))=(1)/(k)+(1)/(2k)rArr(1)/(2k_(s))=(2+1)/(2k)=(3)/(2k)`
`." "k_(s)=(2k)/(3)`
The effective spring costant `k_(p)` of this arrangement is
`k_(p)=k_(1)+k_(2)=k+2k=3k`
`therefore" "(k_(s))/(k_(p))=(2k//3)/(3k)=(2)/(9)`
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