સૂચિ-I ને સૂચિ-II સાથે જોડો. સૂચિ-Iસૂચિ-II(A) શ્યાનતા ગુણાંક(I) [ML0T-3](B) તીવ્રતા(II) [ML-2T-2](C) દબાણ પ્રચલન(III) [M-1LT2](D) સંકોચનીયતા(IV) [ML-1T-1] નીચે આપેલા વિકલ્પોમાંથી સાચો ઉત્તર પસંદ કરો :

(A) (\mathrm{A})-(\mathrm{I}),(\mathrm{B})-(\mathrm{IV}),(\mathrm{C})-(\mathrm{III}),(\mathrm{D})-(\mathrm{II})

(C) (\mathrm{A})-(\mathrm{IV}),(\mathrm{B})-(\mathrm{II}),(\mathrm{C})-(\mathrm{I}),(\mathrm{D})-(\mathrm{III})

(D) (A)-(II), (B)-(III), (C)-(IV), (D)-(I)

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JEE Mains · Physics · STD 11 - 1. units,dimensions and measurement

સૂચિ-I ને સૂચિ-II સાથે જોડો.
સૂચિ-I સૂચિ-II
(A) શ્યાનતા ગુણાંક (I) [ML⁰T^-3]
(B) તીવ્રતા (II) [ML^-2T^-2]
(C) દબાણ પ્રચલન (III) [M^-1LT²]
(D) સંકોચનીયતા (IV) [ML^-1T^-1]

નીચે આપેલા વિકલ્પોમાંથી સાચો ઉત્તર પસંદ કરો :

સૂચિ-I	સૂચિ-II
(A) શ્યાનતા ગુણાંક	(I) [ML⁰T^-3]
(B) તીવ્રતા	(II) [ML^-2T^-2]
(C) દબાણ પ્રચલન	(III) [M^-1LT²]
(D) સંકોચનીયતા	(IV) [ML^-1T^-1]

A \((\mathrm{A})-(\mathrm{I}),(\mathrm{B})-(\mathrm{IV}),(\mathrm{C})-(\mathrm{III}),(\mathrm{D})-(\mathrm{II})\)
B (A)-(IV), (B)-(I), (C)-(II), (D)-(III)
C \((\mathrm{A})-(\mathrm{IV}),(\mathrm{B})-(\mathrm{II}),(\mathrm{C})-(\mathrm{I}),(\mathrm{D})-(\mathrm{III})\)
D (A)-(II), (B)-(III), (C)-(IV), (D)-(I)

Verified Solution

Answer & Solution

Correct Answer

(B) (A)-(IV), (B)-(I), (C)-(II), (D)-(III)

Step-by-step Solution

Detailed explanation

(A) શ્યાનતા ગુણાંક \([\eta]=\left[\mathrm{M}^1 \mathrm{~L}^{-1} \mathrm{~T}^{-1}\right]\) (B) તીવ્રતા \([\mathrm{I}]=\left[\mathrm{M}^1 \mathrm{~L}^0 \mathrm{~T}^{-3}\right]\) (C) દબાણ પ્રચલન \(=\left[\mathrm{ML}^{-2} \mathrm{~T}^{-2}\right]\) (D) સંકોચનીયતા…

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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