JEE Mains · Physics · STD 11 - 2. motion in straight line
A person travels \(x\) distance with velocity \(v_1\) and then \(x\) distance with velocity \(v_2\) in the same direction. The average velocity of the person is \(v\), then the relation between \(v , v _1\) and \(v _2\) will be :
- A \(v=v_1+v_2\)
- B \(v =\frac{ v _1+ v _2}{2}\)
- C \(\frac{2}{ v }=\frac{1}{ v _1}+\frac{1}{ v _2}\)
- D \(\frac{1}{ v }=\frac{1}{ v _1}+\frac{1}{ v _2}\)
Answer & Solution
Correct Answer
(C) \(\frac{2}{ v }=\frac{1}{ v _1}+\frac{1}{ v _2}\)
Step-by-step Solution
Detailed explanation
Average velocity \(=\frac{ x + x }{\frac{ x }{ v _1}+\frac{ x }{ v _2}}= v\) \(\frac{1}{ v _1}+\frac{1}{ v _2}=\frac{2}{ v }\)
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