ખુલ્લા નળમાંથી પાણીના ટીપા ચોક્કસ દરે આવી રહ્યા છે. પ્રથમ ટીપું પડ્યા પછી \(4\) સેકન્ડે અવલોકન કરતાં તે અને તેના પછીના ટીપાં વચ્ચેનું અંતર \(34.3 \,{m}\) છે. નળમાંથી ટીપાં કેટલા દરે આવી રહ્યા હશે? (\(g=9.8\, {m} / {s}^{2}\) માં)

A \(1\) ટીપું/સેકન્ડ
B \(2\) ટીપા/સેકન્ડ
C \(1\) ટીપું/ \(7\) સેકન્ડ
D \(3\) ટીપા/ \(2\) સેકન્ડ

Verified Solution

Answer & Solution

Correct Answer

(A) \(1\) ટીપું/સેકન્ડ

Step-by-step Solution

Detailed explanation

In 4 sec. \(1^{\text {st }}\) drop will travel \(\Rightarrow \frac{1}{2} \times(9.8) \times(4)^{2}=78.4 m\) \(\therefore 2^{\text {nd }}\) drop would have travelled \(\Rightarrow 78.4-34.3=44.1 m\). Time for \(2^{\text {nd }}\) drop \(\frac{1}{2}(9.8) t ^{2}=44.1\) \(t=3 sec\)…

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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