A metal wire of specific resistance $64 \times {10^{ - 6}}\,ohm - cm$ and length $198\, cm$ has a resistance of $7\, ohm$, the radius of the wire will be ............. $cm$
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A coil takes $15\,\min$ to boil a certain amount of water, another coil takes $20\,\min$ for the same process. Time taken to boil the same amount of water when both coil are connected in series ........... $min$
A potentiometer consists of a wire of length $4\, m$ and resistance $10 \,\Omega$. It is connected to cell of $emf$ $2\, V$. The potential difference per unit length of the wire will be ............ $V/m$
The resistance of an electrical toaster has a temperature dependence given by $R\left( T \right) = {R_0}\left[ {1 + \alpha \left( {T - {T_0}} \right)} \right]$ in its range of operation. At ${T_0} = 300\,K,R = 100\,\Omega $ and at $T = 500\,K,\,R = 120\,\Omega $. The toaster is connected to a voltage source at $200\, V$ and its temperature is raised at a constant rate from $300$ to $500\, K$ in $30\, s$. The total work done in raising the temperature is
An electric kettle has two heating coils. When one coil is used, water in the kettle boils in $5$ minutes, while when second coil is used, same water boils in $10\,\min$. If the two coils, connected in parallel are used simultaneously, the same water will boil in time