Physics Work, Energy, Power and Collision JEE (Advanced) / IIT-JEE Problems (Previous Years) MCQ (Single Correct)

A particle of mass m is initially at rest at the origin. It is subjected to a force and starts moving along the x-axis. Its kinetic energy K changes with time as dK/dt = t where λ is a positive constant of appropriate dimensions. Which of the following statements is (are) true?

A
The force applied on the particle is constant
B
The speed of the particle is proportional to time
C
The distance of the particle from the origin increases linearly with time
D
The force is conservative

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Text Solution

Verified by Experts
The correct answer is:
CHECK THE SOLUTION.

(a, b, d)

Sol. = = t

v dv = t dt

=

v t

= constant

F = constant

t

x t 2

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