In a spring block system on a horizontal smooth surface. K = spring constant, A = amplitude, m = mass of the block. In column I some changes are given and column II respective effect is written. Then select the correct answer using the codes given below the columns. :
`{:("Column-I",,"Column-II"),("(P) if mass of the block is doubled (keeping K,A unchanged)",,(1) "time period increases"),("(Q) if the amplitude of oscillation is doubled (keeping m,A unchanged)",,(2)"time period decreases"),("(R) If force constant is doubled (keeping m, A unchanged )",,(3) "energy of oscillation increases"),("(S) if another spring of same force constant is attached parallel to the previous one (keeping m, A unchanged)",,(4) "energy of oscillation remains constant"):}`

Options

A. `{:(,P,Q,R,S),((A),1,3,2,3):}`
B. `{:(,P,Q,R,S),((B),2,1,3,4):}`
C. `{:(,P,Q,R,S),((C),3,4,1,2):}`
D. `{:(,P,Q,R,S),((D),4,2,3,1):}`

Explanation

`(P) T=2pisqrt(m/k) m uarr T uarr`
`E=1/2 kA^(2)`
`(Q) E=1/2 kA^(2) A uarr Euarr`
`(R) T=2pisqrt(m/k) k uarr T darr`
`E=1/2 kA^(2) kuarr Euarr`
`(S) T=2pisqrt(m/(k_(eq)) k_(eq)) uarr T darr`
`k_(eq) =2k`
`E=1/2 k_(eq) A^(2) k_(eq) uarr Euarr`