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In order to increase the resistance of a given wire of uniform cross section to four times its value, a fraction of its length is stretched uniformly till the full length of the wire becomes $\frac{3}{2}$ times the original length what is the value of this fraction?
A capacitor of capacitance $5\,\mu F$ is connected to a source of constant $emf$ of $200\,V$ for a long time, then the switch was shifted to contact $2$ from contact $1$ . The total amount of heat generated in the $500\,\Omega $ resistance, thereafter is
A $1\,\mu F$ capacitor is connected in the circuit shown below. The emf of the cell is $3\ volts$ and internal resistance is $0.5\ ohms$ . The resistors $R_1$ and $R_2$ have values $4\ ohms$ and $1\ ohm$ respectively. The charge on the capacitor in steady state must be.......$\mu C$
The figure shows a tetrahedron, each side of which has a resistance $r$ Choose the correct statement $(s)$ related to the resistance between any two points.
A current of $10\, amp$ is passing through a metallic wire of cross sectional area $4 \times 10^{-6}\, m ^{2}$. If the density of the aluminum conductor is $2.7\, gm / cc$ considering aluminum gives $1$ electrons per atom for conduction find the drift speed of the electrons is ......... $\times 10^{-4} \,m / s$ if molecular weight of aluminum is $27 \,gm$.
In the circuit shown in figure, potential difference between points $A$ and $B$ is $16\, V$. The current passing through $2\,\Omega $ resistance will be ................. $\mathrm{A}$