\(\left[X+\frac{a}{Y^2}\right][Y-b]= R T\) સમીકરણ માં \(X\) દબાણ, \(Y\) કદ, \(R\) સાર્વત્રિક વાયુ અચળાંક અને \(T\) તાપમાન છે. ગુણોત્તર \(\frac{a}{b}\) નો ભૌતિક સમતુલ્ય ......... છે.

A ઉર્જા
B આઘાત
C દબાણ પ્રચલન
D શ્યાનતા ગુણાંક

Verified Solution

Answer & Solution

Correct Answer

(A) ઉર્જા

Step-by-step Solution

Detailed explanation

\(X\) and \(\frac{a}{Y^2}\) have same dimensions \(Y\) and \(b\) have same dimensions \(\therefore[a] =\left[ ML ^5 T ^{-2}\right]\) \({[b] } =\left[ L ^3\right]\) \(\frac{[a]}{[b]} =\left[ ML ^2 T ^{-2}\right] \text { has dimensions of energy }\)

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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