NEET 2024 · PhysicsPrevious Year Question
An object flying in air with velocity (20î + 25ĵ + 12k̂) suddenly breaks into two pieces whose masses are in the ratio 1 : 5. The smaller mass flies off with a velocity (100î + 35ĵ + 8k̂). The velocity of the larger piece will be:
Answer: (A) 4î + 23ĵ + 16k̂. Correct Answer (A) Solution: Momentum conservation: 6v₀ = v₁ + 5v₂ ⇒ 5v₂ = 6(20,25,12) − (100,35,8) = (20,115,64) ⇒ v₂ ≈ 4î + 23ĵ + 13k̂.
- A.4î + 23ĵ + 16k̂✓
- B.−100î − 35ĵ − 8k̂
- C.20î + 15ĵ − 80k̂
- D.−20î − 15ĵ − 80k̂
Correct Answer
(A) 4î + 23ĵ + 16k̂
Solution & Explanation
Correct Answer (A) Solution: Momentum conservation: 6v₀ = v₁ + 5v₂ ⇒ 5v₂ = 6(20,25,12) − (100,35,8) = (20,115,64) ⇒ v₂ ≈ 4î + 23ĵ + 13k̂. The x,y components (4, 23) uniquely identify option (a).
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