The voltmeter shown in the circuit reads:

F2 U.B Madhu 5.11.19 D 5

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SSC JE EE Previous Year Paper 14 (Held On: 26 Sep 2019 Morning)
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  1. 1.2 V
  2. 2.4 V
  3. 12 V
  4. 24 V

Answer (Detailed Solution Below)

Option 3 : 12 V
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Detailed Solution

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The voltmeter reads the voltage across the 250 MΩ resistors.

The resistors are connected in series. 

Req = R1 + R2

Req = (250 + 250) MΩ

Req = 500 MΩ

Current flowing in the circuit,

I = V/R = 24/500 = 0.048 μA

Voltage read by voltmeter will be:

0.048 μA × 250 MΩ = 12 V

Alternate Method:

By using voltage division rule:

The voltage across the resistor R1 is:

\({V_{R1}} = V\left( {\frac{{{R_1}}}{{{R_1} + {R_2}}}} \right)\)

The voltage across the resistor R1 is:

\({V_{R2}} = V\left( {\frac{{{R_2}}}{{{R_1} + {R_2}}}} \right)\)

From the given figure,

R1 = R2 = 250 MΩ

V = 24 V

The voltage across the resistor R2 is:

\({V_{R2}} = \frac{{24}}{{500}} \times 250 = 12\;{\rm{V}}\)

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