question_answer

A, B and C are resistors of resistances R, \[1.5R\]and 3R respectively. When some potential difference is applied between X and Y, the voltmeter reading are \[{{V}_{A}},{{V}_{B}}\] and \[{{V}_{C}}\] respectively:

A)  \[{{V}_{A}}={{V}_{B}}={{V}_{C}}\]   

B)  \[{{V}_{A}}\ne {{V}_{B}}={{V}_{C}}\]

C)  \[{{V}_{A}}={{V}_{B}}\ne {{V}_{C}}\]    

D)  \[{{V}_{B}}\ne {{V}_{A}}={{V}_{C}}\]

Correct Answer: A

Solution :

\[A{{S}_{1}}{{V}_{A}}=iR\] \[{{V}_{B}}=\left( \frac{2i}{3} \right)1.5R=i\,R\] \[{{V}_{C}}=\left( \frac{1}{3} \right)\,\,\,(3R)=i\,R\] Thus, we are see that             \[{{V}_{A}}={{V}_{B}}={{V}_{C}}\]