Variation of radiant energy emitted by sun, filament of tungsten lamp and welding arc as a function of its wavelength is shown in figure. Which of the following option is the correct match?
Sun$-T_1$ , tungsten filament $-T_2$ , welding arc $-T_3$
Sun$-T_2$ , tungsten filament $-T_1$ , welding arc $-T_3$
Sun$-T_3$ , tungsten filament $-T_1$ , welding arc $-T_2$
Sun$-T_1$ , tungsten filament $-T_3$ , welding arc $-T_2$
The filament of a light bulb has surface area $64 mm ^2$. The filament can be considered as a black body at temperature $2500 K$ emitting radiation like a point source when viewed from far. At night the light bulb is observed from a distance of $100 m$. Assume the pupil of the eyes of the observer to be circular with radius $3 mm$. Then
(Take Stefan-Boltzmann constant $=5.67 \times 10^{-8} Wm ^{-2} K ^{-4}$, Wien's displacement constant $=2.90 \times 10^{-3} m - K$, Planck's constant $=6.63 \times 10^{-34} Js$, speed of light in vacuum $=3.00 \times 10^8 ms ^{-1}$ )-
$(A)$ power radiated by the filament is in the range $642 W$ to $645 W$
$(B)$ radiated power entering into one eye of the observer is in the range $3.15 \times 10^{-8} W$ to $3.25 \times 10^{-8} W$
$(C)$ the wavelength corresponding to the maximum intensity of light is $1160 nm$
$(D)$ taking the average wavelength of emitted radiation to be $1740 nm$, the total number of photons entering per second into one eye of the observer is in the range $2.75 \times 10^{11}$ to $2.85 \times 10^{11}$
On increasing the temperature of a substance gradually, which of the following colours will be noticed by you
Which of the following is the $\nu_m = T$ graph for a perfectly black body ($\nu_m$ =maximum frequency of radiation)
The absolute temperatures of two black bodies are $2000 K$ and $3000 K$ respectively. The ratio of wavelengths corresponding to maximum emission of radiation by them will be
A black body is at a temperature of $5760\ K$. The energy of radiation emitted by the body at wavelength $250\ nm$ is $U_1$, at wavelength $500\ nm$ is $U_2$ and that at $1000\ nm$ is $U_3$. Wien's constant, $b = 2.88 \times 10^6\ nm\ K$. Which of the following is correct?