Two simple harmonic motions of angular frequency 300 rad/s and 3000 rad/s have same amplitude. The ratio of their maximum accelerations is (a) 1: 10 (b) 1: 10² (c) 1: 10³ (d) 1: 10⁴

Answer: (b). amax = Aω²; same A, so amax ∝ ω² (a₁)/(a₂) = ((300)/(3000))² = 1/100 So the answer is (b) 1: 10².

Two simple harmonic motions of angular frequency 300 rad/s and 3000… | MHT CET 2025 (21 Apr, Shift 1)

Q16MHT CET 2025 · 21 APR · SHIFT 1Easy

Velocity & Acceleration in SHM

Two simple harmonic motions of angular frequency $300\text{ rad/s}$ and $3000\text{ rad/s}$ have same amplitude. The ratio of their maximum accelerations is

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Answer: (b)

$a_{max} = A\omega^2$ ; same $A$ , so $a_{max} \propto \omega^2$
$\frac{a_1}{a_2} = \left(\frac{300}{3000}\right)^2 = \frac{1}{100}$
So the answer is (b) $1 : 10^2$ .

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