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In the circuit shown below, a voltmeter of internal resistance R, When connected across B and C reads $\large\frac{100}{3}$ volts. Neglecting the internal resistance of the battery, the value of R is :

 

\[\begin {array} {1 1} (1)\;100\;k \Omega & \quad (2)\;75\;k \Omega \\ (3)\;50\;k \Omega & \quad (4)\;25\;k \Omega \end {array}\]

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$(3)\; 50 \;k \Omega$
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