A material '$B$' has twice the specific resistance of '$A$'. A circular wire made of '$B$' has twice the diameter ofa wire made of '$A$'. then for the two wires to have the same resistance, the ratio $\frac{{{l_B}}}{{{l_A}}}$ of their respective lengths must be
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In a potentiometer arrangement, a cell of emf $1.20\, V$ gives a balance point at $36\, cm$ length of wire. This cell is now replaced by another cell of emf $1.80\, V$. The difference in balancing length of potentiometer wire in above conditions will be $....cm$.
The thermo $e.m.f.$ of a thermo-couple is $25\,\mu V{/^o}C$ at room temperature. A galvanometer of $40\, ohm$ resistance, capable of detecting current as low as ${10^{ - 5}}\,A,$ is connected with the thermocouple. The smallest temperature difference that can be detected by this system is ................ $^oC$
A potentiometer wire of length $100\, cm$ has a resistance of $10\, ohm.$ It is connected in series with a resistance and an accumulator of emf $2\,V$ and of negligible internal resistance. A source of emf $10\, mV$ is balanced against a length of $40\, cm$ of the potentiometer wire. What is the value of external resistance :- ................. $\Omega$
In Wheatstone's bridge $P = 9\, ohm$, $Q = 11\, ohm$, $R = 4\,ohm$ and $S = 6\,ohm$. How much resistance must be put in parallel to the resistance $S$ to balance the bridge ............... $ohm$
Three identical bulbs $B_1, B_2$ and $B_3$ are connected to the mains as shown in figure. If $B_3$ is disconnected from the circuit by opening switch $S$, then incandescence of bulb $B_1$ will
In the circuit shown in figure, the current drawn from the battery is $4\,A$. If $10 \,\Omega$ resistor is replaced by $20\,\Omega$ resistor, then current drawn from the circuit will be .............. $A$
An electric bulb rated for $500\, watts$ at $100\, volts$ is used in a circuit having a $200-volt$ supply. The resistance $R$ that must be put in series with the bulb, so that the bulb draws $500\, W$ is .................. $\Omega$
Two resistors $400\, \Omega$ and $800\, \Omega$ are connected in series across a $6 V$ battery. The potential difference measured by a voltmeter of $10\, k \Omega$ across $400\, \Omega$ resistor is close to$....V$