Question

Assertion : The average and instantaneous velocities have same value in a uniform motion.
Reason : In uniform motion, the velocity of an object increases uniformly.

• A. If both assertion and reason are true and reason is the correct explanation of assertion
• B. If both assertion and reason are true but reason is not the correct explanation of assertion
• C. If assertion is true but reason is false
• D. If both assertion and reason are false

Answer 1

Answer: (C)

An object is said to be in uniform motion if it undergoes equal displacement in equal intervals of time.
$ \therefore v_{av}=\frac{s_{1}+s_{2}+s_{3}+\ldots}{t_{1}+t_{2}+t_{3}+\ldots}=\frac{s+s+s+\ldots}{t+t+t+\ldots}=\frac{ns}{nt} $ and $ v_{ins}=\frac{s}{t} $
Thus, in uniform motion average and instantaneous velocities have same value.