$(a)$ Nichrome wire of length $L^{\prime}$ and radius ${ }^{\prime} R^{\prime}$ has resistance of $10\, \Omega$. How would the resistance of the wire change when
$(i)$ only length of the wire is doubled ?
$(ii)$ only diameter of the wire is doubled ? Justify your answer.
$(b)$ Why element of electrical heating devices are made$-$up of alloys ?
$Ohm's$ law is a relation between the power used in a circuit to the current and the potential difference.
An electric heater rated $1200\, W$ operates $2$ hour per day. Find the cost of the energy required to operate it for $30$ days at ₹ $5.00$ per unit.
You are given three equal resistors. The number of resistances which can be obtained by joining them in series and in parallel grouping is
A series circuit has only one conducting path for the electrons that move through it; a paralle circuit has multiple conducting paths.