1.

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)`

Answer» Correct Answer - 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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