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NEET 2011
Exam
NEET
Year
2011
Subject
Physics
Chapter
Motion in One Dimension

NEET 2011 · Physics · Motion in One Dimension

A particle covers half of its total distance with speed v_1 and the...

A particle covers half of its total distance with speed v1v_1 and the rest half distance with speed v2v_2. Its average speed during the complete journey is

Options

  1. Ay1y2y1+y2\frac{y_1 y_2}{y_1+y_2}
  2. B2y1y2y1+y2\frac{2 y_1 y_2}{y_1+y_2}
  3. C2y12y22y12+y22\frac{2 y_1^2 y_2^2}{y_1^2+y_2^2}
  4. Dy1+y22\frac{y_1+y_2}{2}

Correct answer

B. 2y1y2y1+y2\frac{2 y_1 y_2}{y_1+y_2}

Step-by-step solution

Velocity y=st⇒s=vty=\frac{s}{t} \Rightarrow s=v t The average speed of particle yav=s+ssy1+sy2yav=2y1y2y1+y2\begin{aligned}& y_{\mathrm{av}}=\frac{s+s}{\frac{s}{y_1}+\frac{s}{y_2}}\\ & y_{\mathrm{av}}=\frac{2 y_1 y_2}{y_1+y_2} \end{aligned}
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