In a potential meter arrangement shown in fig. The balancing length for potential difference across X,Y points is found to be 45.5 cm. Then the balancing length for potential difference across ( Y ) and ( Z) would be

Options

A. 45.50 cm
B. 56.87cm
C. 36.40 cm
D. none of the above

Answer

C

Explanation

Determine the value of potential gradient for the given potentiometer bridge,
And also take ratio of potential drop across both the resistance. That can be written as,
`(V_(1))/(V_(2)) = (R_(1))/(R_(2)) = (L_(1))/(L_(2)) ` where `V_(1) , V_(2) , R_(1) , R_(2) , L_(1)& L_(2)` represents voltage across `5 Omega` , voltage across 4 `Omega` , value of first resistance, value of second resistance, balancing point for first resistance and balancing point of second resistance respectively.
`implies (5)/(4) = (45.5 )/(L_(2))`
`implies L_(2) = (45.5xx 4)/(5 )`
`L_(2) = 36.4 ` cm