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Physics · PYQ NEET UG 2016(2)

हिन्दी

In the given figure, \( a = 15 \text{ m/s}^2 \) represents the total acceleration of a particle moving in the clockwise direction in a circle of radius \( R = 2.5 \text{ m} \) at a given instant of time. The speed of the particle is

  1. \( 6.2 \text{ m/s} \)
  2. \( 4.5 \text{ m/s} \)
  3. \( 5.0 \text{ m/s} \)
  4. \( 5.7 \text{ m/s} \)

Correct answer · Option 3

\( 5.0 \text{ m/s} \)

Explanation

Given \( a_t = a \sin 30^\circ \). Also \( a_t = \frac{v^2}{R} \). Using \( a = 15 \text{ m/s}^2 \), we find \( v = \sqrt{15 \times \sin 30^\circ \times 2.5} \approx 5.0 \text{ m/s} \).
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