A series <math> <mi>L</mi> <mo>-</mo> <mi>R</mi> </math> circuit is connected to a battery of emf <math> <mi>V</mi> </math> . If the circuit is switched on at <math> <mi>t</mi> <mo>=</mo> </math> 0 , then the time at which the energy stored in the inductor reaches <math> <mo>(</mo> <mn>1</mn> <mo>/</mo> <mi>n</mi> <mo>)</mo> </math> times of its maximum value, is :

Sol. Mono atomic ? Cv=3R2Cp=5R2Di- atomic ? CV=5R2Cp=7R2 (Rigid)Di-atomic ? Cv=7R2Cp=9R2 (Non-Rigid)Tri-atomic ? CV=3RCP=4R (Rigid)

A series <math> <mi>L</mi> <mo>-</mo> <mi>R</mi> </math> circuit is connected to a battery of emf <math> <mi>V</mi> </math> . If the circuit is switched on at <math> <mi>t</mi> <mo>=</mo> </math> 0 , then the time at which the energy stored in the inductor reaches <math> <mo>(</mo> <mn>1</mn> <mo>/</mo> <mi>n</mi> <mo>)</mo> </math> &nbsp;times of its maximum value, is : &lt;!-- [if !supportLineBreakNewLine]--&gt; &lt;!--[endif]--&gt;

<math> <mfrac> <mrow> <mrow> <mi>L</mi> </mrow> </mrow> <mrow> <mrow> <mi>R</mi> </mrow> </mrow> </mfrac> <mi mathvariant="normal">l</mi> <mi mathvariant="normal">n</mi> <mo>⁡</mo> <mfenced separators="|"> <mrow> <mrow> <mfrac> <mrow> <mrow> <mroot> <mrow> <mrow> <mi>n</mi> </mrow> </mrow> <mrow></mrow> </mroot> </mrow> </mrow> <mrow> <mrow> <mroot> <mrow> <mrow> <mi>n</mi> </mrow> </mrow> <mrow></mrow> </mroot> <mo>-</mo> <mn>1</mn> </mrow> </mrow> </mfrac> </mrow> </mrow> </mfenced> </math> (A.C.)

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Physics Class 12th Physics Alternating Current Physics NCERT Exemplar Solutions Class 12th Chapter Seven

A series $L - R$ circuit is connected to a battery of emf $V$ . If the circuit is switched on at $t =$ 0 , then the time at which the energy stored in the inductor reaches $(1 / n)$ times of its maximum value, is :

Option 1 -

$\frac{L}{R} l n (\frac{\sqrt[]{n}}{\sqrt[]{n} + 1})$

Option 2 -

$\frac{L}{R} l n (\frac{\sqrt[]{n} + 1}{\sqrt[]{n} - 1})$

Option 3 -

$\frac{L}{R} l n (\frac{\sqrt[]{n} - 1}{\sqrt[]{n}})$

Option 4 -

$\frac{L}{R} l n (\frac{\sqrt[]{n}}{\sqrt[]{n} - 1})$ (A.C.)

3 Views | Posted 3 months ago

Asked by Shiksha User

1 Answer

Answered by

alok kumar singh | Contributor-Level 10

3 months ago

Correct Option - 2

Detailed Solution:

Sol. Mono atomic $? C_{v} = \frac{3 R}{2} C_{p} = \frac{5 R}{2}$

Di- atomic $? C_{V} = \frac{5 R}{2} C_{p} = \frac{7 R}{2}$

(Rigid)

Di-atomic $? C_{v} = \frac{7 R}{2} C_{p} = \frac{9 R}{2}$

(Non-Rigid)

Tri-atomic $? C_{V} = 3 R C_{P} = 4 R$

(Rigid)

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A series $L - R$ circuit is connected to a battery of emf $V$ . If the circuit is switched on at $t =$ 0 , then the time at which the energy stored in the inductor reaches $(1 / n)$ times of its maximum value, is :

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A series L - R circuit is connected to a battery of emf V . If the circuit is switched on at t = 0 , then the time at which the energy stored in the inductor reaches ( 1 / n ) times of its maximum value, is :

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A series $L - R$ circuit is connected to a battery of emf $V$ . If the circuit is switched on at $t =$ 0 , then the time at which the energy stored in the inductor reaches $(1 / n)$ times of its maximum value, is :