In the adjacent shown circuit, a voltmeter of internal resistance R, when connected across B and C reads `100/3 V`.
neglecting the internal resistance of the battery, the value of R is:

Options

A. `100 kOmega`
B. `75 kOmega`
C. `50 kOmega`
D. `25 kOmega`

Answer

C

Explanation

`V_(BC) =[((50 xx R)/(50 + R))/(50 + (50 xx R)/(50 + R))] xx 100`

`rArr 100/3 = ((50 R)/(2500 + 50 R + 50 R)) xx 100`
`rArr 50R = 2500 rArr R = 50 kOmega`