JEE Mains · Physics · STD 11 - 2. motion in straight line
An object moves with speed \(v_1, v_2\), and \(v_3\) along a line segment \(A B, B C\) and \(C D\) respectively as shown in figure. Where \(AB = BC\) and \(AD =3 AB\), then average speed of the object will be :
- A \(\frac{\left(v_1+v_2+v_3\right)}{3}\)
- B \(\frac{v_1 v_2 v_3}{3\left(v_1 v_2+v_2 v_3+v_3 v_1\right)}\)
- C \(\frac{3 v_1 v_2 v_3}{v_1 v_2+v_2 v_3+v_3 v_1}\)
- D \(\frac{\left(v_1+v_2+v_3\right)}{3 v_1 v_2 v_3}\)
Answer & Solution
Correct Answer
(C) \(\frac{3 v_1 v_2 v_3}{v_1 v_2+v_2 v_3+v_3 v_1}\)
Step-by-step Solution
Detailed explanation
\(AB =x\) \(BC =x\) \(2 x+ CD =3 x\) \(CD =x\) \(\ < v > =\frac{3 x}{\frac{x}{v_1}+\frac{x}{v_2}+\frac{x}{v_3}}=\frac{3 v_1 v_2 v_3}{v_2 v_3+v_1 v_3+v_1 v_2}\)
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