NEETPhysicsWork, Power and Energy
A body is moved along a straight line by a machine delivering a power proportional to time ( (P t )). Then, match the following. ( array l|l Column I & Column II (A) Velocity is proportional to & (p) t (B) Displacement is proportional to & (q) t^2 (C) Work done is proportional to & (r) t^3 array )
Options
- A(A q, B p, D r )
- B(A q, B p, D r )
- C(A q, B r, D p )
- D(A p, B q, D r )
Correct answer
D. (A p, B q, D r )
Step-by-step solution
(P t ) (W= P d t= t d t or W t^2 ) Since, work done is equal to change is KE Hence, ( v^2 t^2 ) or (v t ) Further, ( v= d s d t ) ( d s d t t or d s t d t ) or (s t^2 ) (by integration)