Question

A, B and C are voltmeters of resistance R, 1.5 R 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 [2015]
(a) VA ¹ VB = VC (b) VA = VB ¹ VC
(c) VA ¹ VB ¹ VC (d) VA = VB = VC

Answer 1

When some potential difference is applied between X and Y, the voltmeter readings are VA, VB and VC respectively. Then (d) VA = VB = VC

(d) VA = VB = VC

Explanation:

B, C

$V_B = V_C$

$R_{eq}=R_{1}+R_{2}+R_{3}+..................................... +R_{n}$

$\\ \frac{1}{R{}'}=\frac{1}{1.5R}+\frac{1}{3R}=\frac{2+1}{3R}$

$\frac{R1 R2}{R1 + R2}$

$R_e_q = \frac{1.5 \times 3}{1.5+3}\times R$

Where, $R_{eq}- Equivalent \ Resistance$

$R{}'=R$

$V_{PQ}=V_{A}=IR$

$V_{QS}=V_{B}=V_{c}=IR$

$Hence\: V_{A}=V_{B}=V_{c}$

Learn more about potential  difference:

https://brainly.in/question/3064863

Answer 2

Answer:

Explanation:

As Resistance B and C are in parallel:

Vb = Vc

the equivalent resistance of resistor B and C=(R1R2)/(R1+R2)

R eq=((3/2)*3)/((3/2)+3)

therefore Va= Vb= Vc

and the correct answer is option c

Hope you are happy with the answer

have a good day

if possible mark my answer as the brainliest

hence, correct answer is option C