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A spring-mass system of mass m and spring constant k oscillates with period
A2π √(k/m)
B2π √(m/k)
C(1/2π) √(m/k)
D(1/2π) √(k/m)
Answer & Solution
Correct answer: B. 2π √(m/k)
1. Restoring force F = −kx gives a = −(k/m)x, so ω² = k/m.
2. Period T = 2π/ω.
3. Substituting gives T = 2π √(m/k).
_Source: Maharashtra Balbharati Std XII Physics, Ch 5 "Oscillations" §5.4_
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