AB is a quarter of a smooth horizontal circular track of radius R,A particle P of mass m moves along the track from A to B under the action of following forces:

`vec(F_(1)`=F (always towards y-axis)
`vec(F_(2))`=F (always towards point B)
`vec(F_(3))`=F (always along the tangent to path AB)
`vec(F_(4))`=F (always towards x-axis)
`{:(ColumnI," ",ColumnII),((A) "Work done by" vec(F_(1))," ",(P) sqrt(2)FR),((B) "Work done by" vec(F_(2))," ",(Q)FR),((C) "Work done by" vec(F_(3))," ",(R) (piFR)/(2)),((D) "Work done by" vec(F_(4))," ",(S) (2FR)/(pi)):}`
Select correct alternative :-

Options

A. A-Q,B-P,C-S,D-Q
B. A-Q,B-P,C-S,D-P
C. A-Q,B-P,C-R,D-Q
D. A-P,B-Q,C-R,D-S

Answer

D