The kinetic energy of a body is increased by 300%. The percentage increase in its momentum is:
A. 200%
B. 100%
C. 400%
D. 300%
Answer: Option B
Solution (By JKExamLibrary)
KE ∝ p² (since KE = p²/(2m)). If KE increases by 300%, new KE = 4× original KE. Thus p_new² / p_original² = 4 ⇒ p_new / p_original = 2 ⇒ momentum doubles, i.e., 100% increase. Memory tip: 'KE ∝ p²; so %Δp = ½ %ΔKE for small changes, but for large changes use ratio'. This proportional reasoning problem tests energy-momentum relationship, frequently appearing in competitive exams. Always derive from fundamental relations when percentages are large; linear approximations fail here.
This question belongs to:
Science
Physics
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