Let ω_1, ω_2 and ω_3 be the angular speed of… - NEET UG 2024 Physics PYQ

NEET UG 2024 — Physics Waves & Oscillations

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Let $\omega_1, \omega_2$ and $\omega_3$ be the angular speed of the second hand, minute hand and hour hand of a smoothly running analog clock, respectively. If $x_1, x_2$ and $x_3$ are their respective angular distances in 1 minute then the factor which remains constant $(k)$ is

Official previous-year question

Held on 30 Apr 2024 · Verified 9 Jul 2026.

Options

A
$\frac{\omega_1}{x_1}=\frac{\omega_2}{x_2}=\frac{\omega_3}{x_3}=k$
B
$\omega_1 x_1=\omega_2 x_2=\omega_3 x_3=k$
C
$\omega_1 x_1^2=\omega_2 x_2^2=\omega_3 x_3^2=k$
D
$\omega_1^2 x_1=\omega_2^2 x_2=\omega_3^2 x_3=k$

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Solution

$\omega_1=\frac{2 \pi}{60} ; \quad x_1=\frac{2 \pi}{60} \times 60=2 \pi$ $\omega_2=\frac{2 \pi}{3600} ; \quad x_2=\frac{2 \pi}{3600} \times 60=\frac{2 \pi}{60}$ $\omega_3=\frac{2 \pi}{3600 \times 12} ; \quad x_3=\frac{2 \pi}{3600 \times 12} \times 60=\frac{2 \pi}{720}$ $\frac{\omega_1}{x_1}=\frac{\omega_2}{x_2}=\frac{\omega_3}{x_3}=\frac{1}{60}=k$

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