\(10\,\Omega\) નો એક એવા \(10\) અવરોધને મહત્તમ અને ન્યૂનત્તમ સમતુલ્ય અવરોધ મળે તે રીતે જોડવામાં આવે છે. મહત્તમ અને ન્યૂનતમ સમતુલ્ય અવરોધનો ગુણોત્તર ...... થશે.

A \(90\)
B \(80\)
C \(70\)
D \(100\)

Verified Solution

Answer & Solution

Correct Answer

(D) \(100\)

Step-by-step Solution

Detailed explanation

Maximum resistance occurs When all the resisters are connected in series combination \(\therefore R _{\max }=10\,R\) Here \(R =10\,ohm\) Minimum resistance occurs When all the resistance are connected in parallel combination \(R _{\min }=\frac{ R }{10}\)…

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.

Same subject

સૂચિ-I ને સૂચિ-II સાથે જોડો

સૂચિ-I	સૂચિ-II
(A) ગુરુત્વાકર્ષણનો સાર્વત્રિક અચળાંક	(I) \(\left[\mathrm{LT}^{-2}\right]\)
(B) ગુરુત્વીય સ્થિતિ ઊર્જા	(II) \(\left[\mathrm{L}^2 \mathrm{~T}^{-2}\right]\)
(C) ગુરુત્વીય સ્થિતિમાન	(III) \(\left[\mathrm{ML}^2 \mathrm{~T}^{-2}\right]\)
(D) ગુરુત્વ પ્રવેગ	(IV) \(\left[\mathrm{M}^{-1} \mathrm{~L}^3 \mathrm{~T}^{-2}\right]\)

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