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Physics · PYQ NEET UG 2019(2)

हिन्दी

A person travelling in a straight line moves with a constant velocity \( v_1 \) for certain distance 'x' and with a constant velocity \( v_2 \) for next equal distance. The average velocity v is given by the relation

  1. A
    \( v = \sqrt{v_1 v_2} \)
  2. B
    \( \frac{1}{v} = \frac{1}{v_1} + \frac{1}{v_2} \)
  3. C
    \( \frac{2}{v} = \frac{1}{v_1} + \frac{1}{v_2} \)
  4. D
    \( v = \frac{v_1 + v_2}{2} \)
View Answer & Solution

Correct answer · Option C

\( \frac{2}{v} = \frac{1}{v_1} + \frac{1}{v_2} \)

Explanation

Average velocity for equal distances is the harmonic mean of the two velocities: \( v = \frac{2v_1v_2}{v_1+v_2} \), which gives \( \frac{2}{v} = \frac{1}{v_1} + \frac{1}{v_2} \).
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