NEETPhysicsMotion in One Dimension
Assertion : The v-t graph perpendicular to time axis is not possible in practice. Reason : Infinite acceleration cannot be realized in practice.
Options
- AIf both Assertion and Reason are correct and Reason is the correct explanation of Assertion
- BIf both Assertion and Reason are correct but Reason is not the correct explanation of Assertion
- CIf Assertion is true but Reason is false
- DIf Assertion is false but Reason is true
Correct answer
A. If both Assertion and Reason are correct and Reason is the correct explanation of Assertion
Step-by-step solution
Assertion is correct: A v-t graph perpendicular to the time axis means that for a single instant of time, there are infinite values of velocity, which is physically impossible. This implies an instantaneous, infinite change in velocity. Reason is correct: Infinite acceleration means an instantaneous change in velocity. Since acceleration (= v / t ), if ( t ) approaches zero (as in a vertical line on a v-t graph), and ( v ) is finite, then acceleration approaches infinity, which cannot be realized in practice. The r