સ્પ્રિંગના સંકોચન દરમિયાન \(10\,kJ\) કાર્ય થાય છે અને \(2\,kJ\) ઉષ્મા તરીકે પર્યાવરણમાં મુક્ત થાય છે. તો આંતરિક ઊર્જામાં થતો ફેરફાર \(\Delta U\) (\(kJ\) માં) જણાવો.

A \(8\)
B \(12\)
C \(-12\)
D \(-8\)

Verified Solution

Answer & Solution

Correct Answer

(A) \(8\)

Step-by-step Solution

Detailed explanation

Work done on system \(= +10\, kJ\) Heat escaped \(= -2\,kJ\) \(\Delta U = q + w\) \(= 10 -2 = 8\, kJ\)

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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ભૌતિક અચળાંકોના નીચે દર્શાવેલા સમીકરણો માથી (તેમના સામાન્ય ચિન્હોથી દર્શાવેલા) કયું એકમાત્ર સમીકરણ કે જે અલગ અલગ માપન પદ્ધતિમાં સમાન મૂલ્ય આપે?

JEE Mains 2014 Hard

સૂચી \(- I\) અને સૂચી \(- II\) ને જોડો.

	સૂચી \(-I\)		સૂચી \(-II\)
\((a)\)	\(\begin{array}{*{20}{c}} {O\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,} \\ {\|\|\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,} \\ {R - C - Cl \to R - CHO} \end{array}\)	\((i)\)	\(Br _{2} / NaOH\)
\((b)\)	\(\begin{array}{*{20}{c}} {R - C{H_2} - COOH \to R - CH - COOH} \\ {\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\|} \\ {\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,Cl} \end{array}\)	\((ii)\)	\(H _{2} / Pd - BaSO _{4}\)
\((c)\)	\(\begin{array}{*{20}{c}} {O\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,} \\ {\|\|\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,} \\ {R - C - N{H_2} \to R - N{H_2}} \end{array}\)	\((iii)\)	\(Zn ( Hg ) /\) સાંદ્ર. \(HCl\)
\((d)\)	\(\begin{array}{*{20}{c}} {O\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,} \\ {\|\|\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,} \\ {R - C - C{H_3} \to R - C{H_2} - C{H_3}} \end{array}\)	\((iv)\)	\(Cl _{2}\) / લાલ \(P , H _{2} O\)

નીચે આપેલા વિકલ્પોમાંથી સાચો જવાબ પસંદ કરો.

JEE Mains 2021 Easy

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ક્રમ	\([ NO ]_{0}\)	\(\left[ Cl _{2}\right]_{0}\)	\(r _{0}\)
\(1\)	\(0.10\)	\(0.10\)	\(0.18\)
\(2\)	\(0.10\)	\(0.20\)	\(0.35\)
\(3\)	\(0.20\)	\(0.20\)	\(1.40\)