Two objects of masses 1 kg and 4 kg have equal momentum. What is the ratio of their kinetic energies? MCQ with Answer and Explanation
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Question #1
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A body is projected with velocity u at angle θ to horizontal. The horizontal range is maximum when θ is:
Correct Answer: Option A
Explanation:
Horizontal range R = u²sin(2θ)/g. sin(2θ) is maximum (value 1) when 2θ = 90° ⇒ θ = 45°. Thus maximum range at 45° projection angle, assuming same initial speed and level ground. Memory tip: 'Max range at 45°; max height at 90°'. This standard projectile motion result is frequently tested in competitive exams. Always verify assumptions: no air resistance, uniform gravity, launch and landing at same height. For different heights, optimal angle differs.
Horizontal range R = u²sin(2θ)/g. sin(2θ) is maximum (value 1) when 2θ = 90° ⇒ θ = 45°. Thus maximum range at 45° projection angle, assuming same initial speed and level ground. Memory tip: 'Max range at 45°; max height at 90°'. This standard projectile motion result is frequently tested in competitive exams. Always verify assumptions: no air resistance, uniform gravity, launch and landing at same height. For different heights, optimal angle differs.
Question #2
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An electric iron draws 5 A at 220 V. Its power is
Question #3
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What happens to the pressure of a given mass of gas if its volume is halved at a constant temperature?
Correct Answer: Option B
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.
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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