Direction: In the following questions, a statement of assertion (A) i...
When a particle is in uniform motion, the magnitude of its velocity at each instant such as t = 0, t = 1s, t = 2s ..... etc. is always constant. Hence the velocity versus time graph for a particle in uniform motion along a linear path is a straight line parallel to the time axis.
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Direction: In the following questions, a statement of assertion (A) i...
Assertion and Reason:
Assertion (A): The velocity versus time graph of a particle in uniform motion along a straight path is a line parallel to the time axis.
Reason (R): In uniform motion, the velocity of a particle increases as the square of the time elapsed.
Explanation:
The given assertion (A) states that the velocity versus time graph of a particle in uniform motion along a straight path is a line parallel to the time axis. Let's analyze this statement.
Uniform Motion:
Uniform motion refers to the motion of an object in which it covers equal distances in equal intervals of time. In other words, the object moves with a constant velocity.
Velocity versus Time Graph:
A velocity versus time graph represents the variation of velocity with respect to time. The velocity is plotted on the y-axis, and time is plotted on the x-axis.
Analysis of the Assertion (A):
When an object is in uniform motion, its velocity remains constant. Therefore, the velocity versus time graph for uniform motion is a horizontal line parallel to the time axis. This is because the velocity does not change with time.
Now, let's analyze the reason (R) provided for the given assertion.
Analysis of the Reason (R):
The reason states that in uniform motion, the velocity of a particle increases as the square of the time elapsed. This statement is incorrect.
In uniform motion, the velocity of a particle remains constant. There is no change in velocity with respect to time. The velocity does not increase as the square of the time elapsed. Therefore, the reason given is false.
Conclusion:
Based on the analysis, we can conclude that the assertion (A) is true as the velocity versus time graph of a particle in uniform motion along a straight path is a line parallel to the time axis. However, the reason (R) given is false, as in uniform motion, the velocity of a particle remains constant and does not increase as the square of the time elapsed. Therefore, the correct answer is option 'C' - Assertion (A) is true, but reason (R) is false.
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