A body covers 12 m in the 2nd second and 20 m in the 4th second of its motion. Assuming uniform acceleration, what is its initial velocity? MCQ with Answer and Explanation

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A body covers 12 m in the 2nd second and 20 m in the 4th second of its motion. Assuming uniform acceleration, what is its initial velocity?

A. 8 m/s

B. 4 m/s

C. 2 m/s

D. 6 m/s

Answer: Option D

Solution (By JKExamLibrary)

The distance covered in the nth second is Sn = u + a/2 * (2n - 1). For n=2: 12 = u + a/2 * (3) => 2u + 3a = 24. For n=4: 20 = u + a/2 * (7) => 2u + 7a = 40. Subtracting equations: 4a = 16 => a = 4 m/s^2. Substitute 'a' back: 2u + 3(4) = 24 => 2u = 12 => u = 6 m/s.

This question belongs to: Science Physics

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Practice More Physics Questions

Question #1 Report Error

Which measuring instrument is most suitable for measuring the internal diameter of a narrow tube with high precision?

A. Screw gauge

B. Meter scale

C. Measuring tape

D. Vernier caliper

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Correct Answer: Option D

Explanation:
Vernier caliper is ideal for measuring internal diameters of narrow tubes due to its internal jaws designed for such measurements. Screw gauge measures external dimensions like wire diameter. Meter scale and measuring tape lack the precision (least count ~1 mm) needed for narrow tubes. Vernier calipers typically have least count 0.01 mm or 0.02 mm. Practical tip: Always use internal jaws for internal measurements, external jaws for outer dimensions. This application-based question tests knowledge of instrument selection in experimental physics, commonly featured in practical examination sections.

This question belongs to: Science Physics