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An unknown resistance $R_1$ is connected in series with a resistance of $10 \,\Omega$. This combinations is connected to one gap of a meter bridge while a resistance $R_2$ is connected in the other gap. The balance point is at $50\, cm$. Now, when the $10 \,\Omega$ resistance is removed the balance point shifts to $40\, cm$. The value of $R_1$ is (in $ohm$)
The circuit below is used to heat water kept in a bucket. Assuming heat loss only by Newton's law of cooling, the variation in the temperature of the water in the bucket as a function of time is depicted by
Two wires of same length and thickness having specific resistances $6\, \Omega \,cm$ and $3 \,\Omega\, cm$ respectively are connected in parallel. The effective resistivity is $\rho\, \Omega \,cm$. The value of $\rho$ to the nearest integer, is ..... .
A battery consists of a variable number $n$ of identical cells (having internal resistance reach) which are connected in series. The terminals of the battery are short-circuited and the current $I$ is measured. Which of the graphs shows the correct relationship between $I$ and $n \,?$