Match the column I with column II.

Options

A. A-p,B-q,C-s,D-r
B. A-s,B-r,C-p,D-q
C. A-r,B-p,C-s,D-q
D. A-p,B-r,C-q,D-s

Answer

B

Explanation

In figure A, two springs are connected in parallel. The effective spring constant is, `k_("eff")=k_(1)+k_(2)`
`thereforeT=2pisqrt((m)/(k_(1)+k_(2))),A-s`
In figure B, two identical springs are connected in parallel. The effective spring constant is
`k_("eff")=k+k=2k therefore T=2pisqrt((m)/(2k)),B-r`
In figure C, two sprins are connected in series. the effective spring constant is
`(1)/(k_("eff"))=(1)/(k_(1))+(1)/(k_(2))=(k_(2)+k_(1))/(k_(1)k_(2))` or `k_("eff")=(k_(1)k_(2))/(k_(1)+k_2)`
`therefore=T=2pisqrt((m(k_(1)+k_(2)))/(k_(1)k_(2)),C-p`
In figure D, two identical springs are connected in series the effective spring constant is
`k_("eff")=((k)(k))/(k+k)=(k)/(2)thereforeT=2pisqrt((2m)/(k)),D-q`