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 V_A, V_B and V_c respectively then,

V_A =V_B =V_c

$straight V subscript straight A space not equal to straight V subscript straight B space equals space straight V subscript straight C$
$straight V subscript straight A equals straight V subscript straight B space space not equal to space straight V subscript straight C$
$straight V subscript straight A space space not equal to space straight V subscript straight B space space not equal to straight V subscript straight c$

Solution

V_A =V_B =V_c

The equivalent resistance between Q and S is given by

fraction numerator 1 over denominator straight R apostrophe end fraction space equals space fraction numerator 1 over denominator 15 straight R end fraction plus fraction numerator 1 over denominator 3 straight R end fraction space equals space fraction numerator 2 plus 1 over denominator 3 straight R end fraction rightwards double arrow space straight R apostrophe space equals space straight R Also space straight V subscript PQ space equals space straight V subscript straight A space equals space IR Also space straight V subscript Qs space equals space straight V subscript straight B space equals space straight V subscript straight c space equals space IR Hence comma space straight V subscript straight A space equals space straight V subscript straight B space equals space straight V subscript straight C

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