A metal piece is heated upto T-C- The temperature of the surrounding is t-C- The heat in the surrounding due to radiation is proportional to

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Physics

Stefan-Boltzman's Law

A metal piece...

Question

A metal piece is heated upto $T^{\circ}$ C. The temperature of the surrounding is $t^{\circ}$ C. The heat in the surrounding due to radiation is proportional to

(T - T)^{4}

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

T^{4} - t^{4}

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

(T - t)^{1 / 4}

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

T^{2} - t^{2}

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

Open in App

Solution

The correct option is B $T^{4} - t^{4}$
According to is stefan's law heat emitted from the body due to radiation is given as $Q = σ A (T_{1}^{4} - T_{2}^{4})$
and $Q \propto (T_{1}^{4} - T_{2}^{4})$
where both $T_{1}$ and $T_{2}$ are in kelvin.
hence we can say $Q \propto (T^{4} - t^{4})$

Suggest Corrections

Similar questions

Q. "The rate of loss of heat

- d Q / d t

of the body is directly proportional to tohe temperature difference

△ T = (T_{2} - T_{1})

of the body and surrounding ".This statements is

Q. A student heats some amount of tap water in a calorimeter to a temperature of nearly 50ºC above the room temperature. He then records the temperature of this water as it is cooling down at regular intervals of 2 minutes each. He tabulates his observations as follows :

Time (in minutes) →	0	2	4	6	8	10
Temperature (in ºC) →	t₁	t₂	t₃	t₄	t₅	t₆

He is likely to observe that :
(1) (t₁− t₂) > (t₃−t₄) > (t₅ − t₆)
(2) (t₁− t₂) = (t₃−t₄) = (t₅ − t₆)
(3) (t₁− t₂) < (t₃−t₄) < (t₅ − t₆)
(4) (t₁− t₂) < (t₃−t₄) > (t₅ − t₆)

Q. Three Carnot engines operate in series between a heat source at a temperature

T_{1}

and a heat sink at temperature

T_{4}

(see figure). There are two other reservoirs at temperature

T_{2}

, and

T_{3}

, as shown, with

T_{2} > T_{2} > T_{3} > T_{4}

. The three engines are equally efficient if__?

Let $θ \in (0, \frac{π}{4}) a n d t_{1} = (t a n θ)^{t a n θ}, t_{2} (t a n θ)^{c o t} t_{3} = (c o t θ)^{t a n θ} a n d t_{4} (c o t θ)^{t a n θ}$ , then

A particle is projected from ground as shown. It is at point A at time

t_{1}

, at point B at time

t_{2}

, at point C at time

t_{3}

& at time

t_{4}

it is at D then

Join BYJU'S Learning Program

A metal piece is heated upto T∘C. The temperature of the surrounding is t∘C. The heat in the surrounding due to radiation is proportional to

The correct option is B T4−t4According to is stefan's law heat emitted from the body due to radiation is given as Q=σA(T41−T42)and Q∝(T41−T42)where both T1 and T2 are in kelvin.hence we can say Q∝(T4−t4)

A metal piece is heated upto $T^{\circ}$ C. The temperature of the surrounding is $t^{\circ}$ C. The heat in the surrounding due to radiation is proportional to

The correct option is B $T^{4} - t^{4}$
According to is stefan's law heat emitted from the body due to radiation is given as $Q = σ A (T_{1}^{4} - T_{2}^{4})$
and $Q \propto (T_{1}^{4} - T_{2}^{4})$
where both $T_{1}$ and $T_{2}$ are in kelvin.
hence we can say $Q \propto (T^{4} - t^{4})$