\(750 \,kgm ^{-3}\) ની ઘનતા ધરાવતું એક પ્રવાહી એક સમક્ષિતિજ નળી કે જેના એક આડછેદનું ક્ષેત્રફળ \(A _{1}=1.2 \times 10^{-2} \,m ^{2}\) અને બીજા ક્ષેત્રનું આડછેદનું ક્ષેત્રફળ \(A_{2}=\frac{A_{1}}{2}\) છે, માંથી સરળતાથી વહે છે. નળીના પહોળા અને સાંકળા છેડાઓ વચ્ચે દબાણનો તફાવત \(4500 \,Pa\) છે. પ્રવાહીનો વહન દર ............... \(\times 10^{-3}\,m ^{3} s ^{-1}\) હશે.

A \(20\)
B \(23\)
C \(24\)
D \(29\)

Verified Solution

Answer & Solution

Correct Answer

(C) \(24\)

Step-by-step Solution

Detailed explanation

\(A _{2}=\frac{ A _{1}}{2}\) \(P _{1}- P _{2}=4500\,Pa\) \(P _{1}+\frac{1}{2} \rho V _{1}^{2}+\rho gh = P _{2}+\frac{1}{2} \rho V _{2}^{2}+\rho gh\) \(P _{1}- P _{2}=\frac{1}{2} \rho\left( V _{2}^{2}- V _{1}^{2}\right)\) And \(A _{1} V _{1}= A _{2} V _{2}\)…

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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વર્ગ	\(0-4\)	\(4-8\)	\(8-12\)	\(12-16\)	\(16-20\)
આવ્રુતિ	\(3\)	\(9\)	\(10\)	\(8\)	\(6\)