Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 28: Problem 2822

What is the units of emissive power in stefan's law? (A) \(\mathrm{Ws}^{-1}\) (B) W (C) \(\mathrm{Ws}^{-1} \mathrm{~m}^{-2}\) (D) \(\mathrm{Wm}^{-2}\)

Short Answer

Expert verified
The correct units of emissive power in Stefan's Law are (D) \(\mathrm{Wm}^{-2}\).

Step by step solution

01

Understand Stefan's Law

Stefan's law is given by: \[E = \sigma T^4\] where E is the emissive power (the power radiated per unit surface area), T is the temperature in kelvins, and σ is the Stefan-Boltzmann constant, which equals \(5.67 \times 10^{-8} \mathrm{Wm}^{-2}\mathrm{K}^{-4}\).
02

Check units for each given option

Consider the units in the formula: emissive power (E) equals the product of the Stefan-Boltzmann constant (σ) and temperature to the fourth power (T^4). (A) \(\mathrm{Ws}^{-1}\): This indicates work done per second, which doesn't account for surface area. (B) W: Watts, a unit of power, but it doesn't account for surface area. (C) \(\mathrm{Ws}^{-1} \mathrm{~m}^{-2}\): This indicates work done per second per square meter which isn't right. (D) \(\mathrm{Wm}^{-2}\): This indicates power per unit surface area, which is consistent with the description of emissive power.
03

Choose the correct units

Based on the analysis in step 2, option (D) \(\mathrm{Wm}^{-2}\) represents the correct units of emissive power in Stefan's Law.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Two spheres of the same material have radii \(1 \mathrm{~m}\) and $4 \mathrm{~m}\( and temperatures \)2000 \mathrm{k}\( and \)4000 \mathrm{k}$ respectively. If the energy radiated by the spheres are \(E_{1}\) and \(E_{2}\) respectively then find ratio of \(\left(\mathrm{E}_{1} / \mathrm{E}_{2}\right)\) (A) \(1: 256\) (B) \(256: 1\) (C) \(16: 1\) (D) \(1: 16\)

A liquid takes 5 minute to cool from \(80^{\circ} \mathrm{C}\) to $50^{\circ} \mathrm{C}\(. The temperature of the surrounding is \)20^{\circ} \mathrm{C}$. What is the time it will take to \(\operatorname{cool}\) from $60^{\circ} \mathrm{C}\( to \)30^{\circ} \mathrm{C}$ ? (A) \(9 \mathrm{~min}\) (B) \(5 \mathrm{~min}\) (C) \(12 \mathrm{~min}\) (D) \(6 \mathrm{~min}\)

A body cools in 5 minute from \(60^{\circ} \mathrm{C}\) to $40^{\circ} \mathrm{C}\(. The temperature of the surroundings is \)10^{\circ} \mathrm{C}$. What is its temperature after the next 5 minute? (A) \(32^{\circ} \mathrm{C}\) (B) \(24^{\circ} \mathrm{C}\) (C) \(28^{\circ} \mathrm{C}\) (D) \(30^{\circ} \mathrm{C}\)

A sphere, a cube and a thin circular plate are all made of the same material, have the same mass and are initially heated to a temperature of $200^{\circ} \mathrm{C}$. Arrange then in the ascending order of rate of cooling. (A) sphere, plate, cube (B) sphere, cube, plate (C) cube, sphere, plate (D) plate, cube, sphere
See all solutions

Recommended explanations on English Textbooks

Graphology

Read Explanation

Text Comparison

Read Explanation

English Grammar Summary

Read Explanation

Lexis and Semantics

Read Explanation

5 Paragraph Essay

Read Explanation

Free Response Essay

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free