${\lambda _m}T = constant$ $...(i)$
For star $P,$ instensity of violet colour is maximum
For star $Q,$ instensity of red colour is maximum.
For star $R,$ intensity of green colour is maximum.
$Also,{\lambda _r} > {\lambda _g} > {\lambda _v}$
Using equation $(i)$, ${T_r} < {T_g} < {T_v}$
${T_Q} < {T_R} < {T_P}$

($A$) The temperature distribution over the filament is uniform
($B$) The resistance over small sections of the filament decreases with time
($C$) The filament emits more light at higher band of frequencies before it breaks up
($D$) The filament consumes less electrical power towards the end of the life of the bulb

where $\sigma$ is the Stefan's constant.