# 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) $V_A \neq V_B = V_C$

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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