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If k be the spring constant, then:

1. U = 1/2 k × x² = 2k
2. Ufinal = 1/2 k × x(10)² = 50k
3. New K.E., E' = E' + 3E = 4E
4. p' / p = √(2m × 4E / 2mE') = 2

Correct answer: p' / p = √(2m × 4E / 2mE') = 2

Solution

Option D is correct because the ratio of momentum (p'/p) is derived using the relationship between kinetic energy and momentum, where p = √(2mE). The ratio simplifies to 2 as given.

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