JEE Mains · Physics · STD 11 - 2. motion in straight line
A juggler throws balls vertically upwards with same initial velocity in air. When the first ball reaches its highest position, he throws the next ball. Assuming the juggler throws \(n\) balls per second, the maximum height the balls can reach is
- A \(g / 2 n\)
- B \(g / n\)
- C \(2 g n\)
- D \(g / 2 n^{2}\)
Answer & Solution
Correct Answer
(D) \(g / 2 n^{2}\)
Step-by-step Solution
Detailed explanation
Time taken by ball to reach highest point \(=\frac{ u }{ g }\) Frequency of throw \(=\frac{ g }{ u }= n\) \(u =\frac{ g }{ n }\) \(H _{\max }=\frac{ u ^{2}}{2 g }=\frac{\left(\frac{ g }{ n }\right)^{2}}{2 g }\) \(\frac{g}{2 n^{2}}\)
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