એક જગ્ગલર (કરતબબાજ) હવામાં દડાને શિરોલંબ ઉપર તરફ ફેંકે છે. જ્યારે પ્રથમ દડો તેની મહત્તમ ઊંચાઈએ પહોંચે છે, ત્યારે તે બીજો દડો ફેકે છે. જો જગ્ગલર દર સેકન્ડે \(n\) દડા ફેકે છે તેમ ધારતાં દડો મહત્તમ કેટલી ઊંચાઈ પ્રાપ્ત કરશે?

A \(g / 2 n\)
B \(g / n\)
C \(2 g n\)
D \(g / 2 n^{2}\)

Verified Solution

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 \(=\frac{ g }{ u }= n\) \(u =\frac{ g }{ n }\) \(H _{\max }=\frac{ u ^{2}}{2 g }=\frac{\left(\frac{ g }{ n }\right)^{2}}{2 g }\) \(\frac{g}{2 n^{2}}\)

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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