$(a)$ 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 ?
Two lamps, one is rated $100\, W$ at $220\, V$, and the other $60 \,W$ at $220\, V ,$ are connected in parallel to a $220\, V$ supply. Find the current drawn from the supply line.
Of which physical quantity is the $joule/coulomb$ a unit?
How much work is done in moving a charge of $2\, C$ across two points having a potential difference $12 \,V ?$
You are given three equal resistors. The number of resistances which can be obtained by joining them in series and in parallel grouping is