A, B and C are voltmeters of resistance R, 1.5R and 3R respectively as shown in the figure. When some potential difference is applied between X and Y, the voltmeter readings are VA, VB and VC respectively. Then:

 

  • Option 1)

    V_A=V_B\neq V_C

  • Option 2)

    V_A \neq V_B \neq V_C

  • Option 3)

    V_A = V_B = V_C

  • Option 4)

    V_A \neq V_B = V_C

 

Answers (1)

As we learnt in

Potential difference -

The voltage accross the terminals of a cell when it is supplying current to external resistance is known as Potential Difference .

- wherein

V=IR

 

 and

In series Grouping -

R_{eq}=R_{1}+R_{2}+R_{3}+cdot cdot cdot +R_{n}

- wherein

R_{eq}- Equivalent Resistance

\\ \frac{1}{R{}'}=\frac{1}{1.5R}+\frac{1}{3R}=\frac{2+1}{3R}\\ R{}'=R\\ V_{PQ}=V_{A}=IR\\ V_{QS}=V_{B}=V_{c}=IR\\ Hence\: V_{A}=V_{B}=V_{c}  


Option 1)

V_A=V_B\neq V_C

Incorrect

Option 2)

V_A \neq V_B \neq V_C

Incorrect

Option 3)

V_A = V_B = V_C

Correct

Option 4)

V_A \neq V_B = V_C

Incorrect

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