A rod is formed by joining two cylinders each having a length l and cross sectional area S. The densities of cylinder are `rho` and `2rho` respectively. The rod is now horizontally suspended in a liquid of density `4 rho` with help of two string as shown in the figure. The entire setup is kept inside a lift. For the quantities given in List I select the correct value from those mentioned in List II.
`{:("List-I",,"List-II"),("(P)Tension in string 1 if the lift is moving upwards with constant velocity",,(1) 11/8 rhoSl g),("(Q)Tension in string 2 if the lift is moving upwards with constant velocity",,(2) 9/8 rhoSlg),("(R)Tension is string 1 if lift is moving downwards with an acceleration of g/2",,(3) 11/4 rhoSlg),("(S)Tension in string 2 if the lift is moving downwards with an acceleration of g/2",,(4) 9/4 rhoSlg):}`
Choose the correct option :

Options

A. P-3,Q-4,R-1,S-2
B. P-1,Q-2,R-3,S-4
C. P-4,Q-3,R-2,S-1
D. P-2,Q-1,R-4,S-3

Explanation

Consider the FBD shown in the figure

force balance
`rArr T_(1)+T_(2)=5 rhoSlg`
Torque balance about point P
`rArr T_(1)xx2l+rhoSlgxx3-8rhoSlgxxl//2=0`
`T_(1)=11//4 rhoSlg`
`rArr T_(2)=9//4 rhoSlg`
`g_(eff)=g-g//2=g//2`