The energy spectrum of a blackbody exhibits a maximum around a wavelength λ

Sail E0 Webinar

Question

The energy spectrum of a blackbody exhibits a maximum around a wavelength

λ_{0}

. The temperature of the black body is now changed such that the energy is maximum around a wavelength

\frac{3 λ_{0}}{4}

The power radiated by the blackbody will now increase by a factor:

Options:

A . 25681

B . 169

C . 43

D . None

Answer: Option A
:
A
According to Wien's law wavelength corresponding to maximum energy decreases. When the temperature of blackbody increases i.e.,

λ_{m} T = c o n s t a n t \Rightarrow \frac{T_{2}}{T_{1}} = \frac{λ_{1}}{λ_{2}} = \frac{λ_{0}}{\frac{3 λ_{0}}{4}} = \frac{4}{3}

Now according to Stefan's law

\frac{E_{2}}{E_{1}} = {(\frac{T_{2}}{T_{1}})}^{4} = {(\frac{4}{3})}^{4} = \frac{256}{81}

.

Was this answer helpful ?

Next Question

Submit Solution

More Questions on This Topic :

Question 1. 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 2. 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 3. 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 4. 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 5. 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 6. 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 7. 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

Question 8. Four identical rods of same material are joined end to end to form a square. If the temperature difference between the e....temperature difference between the ends of other diagonal will be

Question 9. A solid copper sphere (density ρ and specific heat capacity (c) of radius r at an initial temperature 200K is susp....temperature of the sphere to drop to 100 K is

Question 10. An ice box used for keeping eatable cold has a total wall area of 1metre2 and a wall thickness of 5.0 cm. The thermal co....ice melted in one day is (1 day =86,400 seconds )

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