A black body at a high temperature $T$ radiates energy at the rate of $U (i n W / m^{2})$ . When the temperature falls to half (i.e $T / 2$ ), the radiated energy $(i n W / m^{2})$ will be

U / 8

No worries! We‘ve got your back. Try BYJU‘S free classes today!

U / 16

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

U / 4

No worries! We‘ve got your back. Try BYJU‘S free classes today!

U / 2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $U / 16$
According to Stefan's law, rate of energy radiated by a black per unit area (inW/m2) at temperature T is given by
U=σT4...(i)
when the temperature falls to half (i.e., T/2)
radiated energy (inW/m2)...(ii)
From (i) and (ii) we get
U′U=(12)4=116
or U′=U16

Suggest Corrections

Similar questions

Q. A black body at a temperature

T

radiates energy at the rate of

E W m^{- 2}

. If the temperature is decreased by

(T / 2)

the energy radiated will be:

A black body radiates energy at the rate of E $W / m^{2}$ at a high temperature TK. When the temperature is reduced to $\frac{T}{2} K$ , the radiant energy will be

Q. A black body at temperature

T

radiates energy at the rate of

E

^{- 2}

. In reducing its temperature to

T / 2

the rate of energy radiation will be

Q. A black body radiates energy at the rate of

E

watt per metr

e^{2}

at a high ternperature

T

K. when the temperature is reduced to

(T / 2)

K, the radiant energy will be

Q. A black body radiates heat energy a the rate of

2 \times 10^{5} J / m^{2}

at the temperature of

127^{0} C

.Temperature of the black body at which rate of heat radiation

32 \times 10^{5} J / m^{2}

,is then

Join BYJU'S Learning Program

A black body at a high temperature T radiates energy at the rate of U(inW/m2). When the temperature falls to half (i.e T/2), the radiated energy (inW/m2) will be

A black body at a high temperature $T$ radiates energy at the rate of $U (i n W / m^{2})$ . When the temperature falls to half (i.e $T / 2$ ), the radiated energy $(i n W / m^{2})$ will be