A body moves with uniform acceleration. The graph between velocity and time is: MCQ with Answer and Explanation

A body moves with uniform acceleration. The graph between velocity and time is:
A. Parabola
B. Straight line with positive slope
C. Hyperbola
D. Straight line parallel to time axis
Answer: Option B
Solution (By JKExamLibrary)
Uniform acceleration means constant rate of change of velocity: a = dv/dt = constant. Thus v = u + at, a linear equation in t. Graph is straight line with slope = acceleration. Parallel to time axis (A) implies zero acceleration (constant velocity). Parabola (C) is for position-time under constant acceleration. Memory tip: 'v-t graph slope = acceleration; area = displacement'. This graph interpretation question tests kinematics fundamentals, frequently examined in competitive exams. Always link graph features to physical quantities: slope, area, intercepts have specific meanings in motion graphs.

This question belongs to: Science Physics

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What happens to the pressure of a given mass of gas if its volume is halved at a constant temperature?
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B. It remains unchanged.
C. It is halved.
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Correct Answer: Option A


Explanation:
According to Boyle's Law, for a given mass of an ideal gas at constant temperature, the pressure is inversely proportional to its volume (P ∝ 1/V, or P1V1 = P2V2). If the volume is halved (V2 = V1/2), the pressure must double (P2 = 2P1) to keep the product constant.

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Question #3 Report Error
A body of mass 2 kg is moving with an acceleration of 5 m/s². The rate of change of its momentum is:
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Correct Answer: Option C


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According to Newton's Second Law of Motion, the rate of change of momentum is directly proportional to the applied unbalanced force. Rate of change of momentum = Force = mass × acceleration. Force = 2 kg × 5 m/s² = 10 Newtons (N). Note that '10 kg m/s' is a unit of momentum, not its rate of change.

This question belongs to: Science Physics