An electric heater emits 1000 W of thermal radiation. The coil has a surface are

Sail E0 Webinar

Question

An electric heater emits 1000 W of thermal radiation. The coil has a surface area of 0.020

m^{2}

. Assuming that the coil radiates like a blackbody, find its temperature.

σ = 6.00 \times 10^{- 8} W / m^{2} - K^{4}

.

Options:

A . 955 deg C

B . 955 deg F

C . 955 K

D . 865 K

Answer: Option C
:
C
Let the temperature of the coil be T. The coil will emit radiation at a rate A

σ T^{4}

. Thus,
1000W =

(0.020 m^{2}) \times (6.0 \times 12^{- 8} W / m^{2} - K^{4}) \times T 64

or,

T^{4} = \frac{1000}{0.020 \times 6.00 \times 10^{- 8}} K^{4}

=

8.33 \times 10^{11} K^{4}

or,

T = 955 K

.

Was this answer helpful ?

Next Question

Submit Solution

More Questions on This Topic :

Question 1. A copper sphere is suspended in an evacuated chamber maintained at 300 K. The sphere is maintained at a constant tempera....same temperature of the sphere. Calculate the emissivity of copper.

Question 2. Assume that the total surface area of a human body is 1.6 m2 and that it radiates like an ideal radiator. Calculate the ....the body temperature is 37∘ C.Stefan constant σ is 6.0×10−8W/m2−K4.

Question 3. The energy spectrum of a blackbody exhibits a maximum around a wavelength λ0. The temperature of the black body is....radiated by the blackbody will now increase by a factor:

Question 4. We need to store 1l of cold water in warm weather for as long as possible. In which of the following shapes should a fla....the thickness and material are same for all the shapes.

Question 5. A 5cm thick ice block is there on the surface of water in a lake. The temperature of air is −10∘ C; how mu....it will take to double the thickness of the block (L=80 cal/g,Kice=0.004 Erg/s−k,dice=0.92gcm−3)

Question 6. Water and turpentine oil (specific heat less than that of water) are both heated to same temperature. Equal amounts of t....these placed in identical calorimeters are then left in air

Question 7. One end of a copper rod of length 1.0 m and area of cross-section 10−3 is immersed in boiling water and....amount of ice which will melt in one minute is

Question 8. A body initially at 80∘ C cools to 64∘ C in 5 minutes and to 52∘ C in 10 minutes. The temperature of the body afte....The temperature of the body after 15 minutes will be

Question 9. The temperature of the two outer surfaces of a composite slab, consisting of two materials having coefficients of therma....steady state is (A(T2−T1)Kx)f , with f which equal to

Question 10. Two conducting rods A and B of same length and cross-sectional area are connected (i) In series (ii) In parallel as show....in parallel combination to that flowing in series combination is

Chapter 1 - GLOBAL STEEL SCENARIO & INDIAN STEEL INDUSTRY Part 1 : (13-04-2024) INDUSTRY AND COMPANY AWARENESS (ICA)

Direction Sense Test Part 1 Reasoning (Hindi)

Chapter 1 - RMHP / OHP / OB & BP Part 1 : (14-02-2024) GPOE

Cube & Cuboid Part 1 Reasoning (Hindi)

Data Interpretation (DI) Basic Concept Reasoning (Hindi)

Counting Figures Part 1 Counting Of Straight Lines Reasoning (Hindi)

Sail E0 free webinar Webinars

Real Numbers Part 7 Class 10 Maths

Real Numbers Part 1 Class 10 Maths

Polynomials Part 1 Class 10 Maths

GPOE / GPA Combined 1 Free Mock Test SAIL JO E-0 2024

Chapter 3.1 : INTRODUCTION Chapter 3 : Sinter Plant SAIL E0 - GPOE/GPA 2024

Chapter 2.3 : COAL HANDLING PLANT - Set 1 Chapter 2 : Coke Ovens and Coal Chemicals SAIL E0 - GPOE/GPA 2024

Chapter 1.1 : INTRODUCTION Chapter 1 : Raw Material Handling Plant SAIL E0 - GPOE/GPA 2024

DSP Combined 1 Free Revision Test SAIL JO E-0