An electric toaster uses nichrome for its heating element. When a negligibly small current passes through it, its resistance at room temperature (27.0 °C) is found to be 75.3 Ω. When the toaster is connected to a 230 V supply, the current settles, after a few seconds, to a steady value of 2.68 A. What is the steady temperature of the nichrome element? The temperature coefficient of resistance of nichrome averaged over the temperature range involved is 1.70 × 10^–4 °C^–1

^{$1.<mspace\; width="1em"></mspace>{827}^0<mspace\; width="1em"></mspace>C$
$2.<mspace\; width="1em"></mspace>{820}^0<mspace\; width="1em"></mspace>C$
$3.<mspace\; width="1em"></mspace>{847}^0<mspace\; width="1em"></mspace>C$
$4.<mspace\; width="1em"></mspace>{800}^0<mspace\; width="1em"></mspace>C$}

The resistance of the platinum wire of a platinum resistance thermometer at the ice point is 5 Ω and at the steam point is 5.23 Ω. When the thermometer is inserted into a hot bath, the resistance of the platinum wire is 5.795 Ω. The temperature of the bath is:

$1.<mspace\; width="1em"></mspace>300.{20}^{0}C$
$2.<mspace\; width="1em"></mspace>345.{65}^{0}C$
$3.<mspace\; width="1em"></mspace>320.{20}^{0}C$
$4.<mspace\; width="1em"></mspace>400.{12}^{0}C$

A light bulb is rated at \(100~\text {W}\) for a \(220~\text {V}\) supply, the resistance of the bulb is:$\mathrm{}$
1. \(423~\Omega\)
2. \(440~\Omega\)
3. \(444~\Omega\)
4. \(484~\Omega\)