In the given pressure ($ P $) - absolute temperature ($ T $) graph of an ideal gas, the relation between volumes $ V_1, V_2, V_3, $ and $ V_4 $ is:
A 567 W bulb has a tungsten filament of length 40 cm and radius $\dfrac{2}{\pi}$ mm. If the radiation of the filament is 81% of that of a perfect black body, then the temperature of the filament is(Stefan's constant, $\sigma = 5.67 \times 10^{-8}$ W m$^{-2}$ K$^{-4}$)