/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 37 If the temperature of the sun wa... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 11: Problem 37

If the temperature of the sun was to increase from \(T\) to \(2 T\) and its radius from \(R\) to \(2 R\), then the ratio of the radiant energy received on earth to what it was previously will be (A) 4 (B) 16 (C) 32 (D) 64

Short Answer

Expert verified
The ratio of the radiant energy received on Earth after the temperature of the Sun increases from T to 2T and its radius increases from R to 2R is 4. Therefore, the correct answer is (A) 4.

Step by step solution

01

1. Calculate the initial radiant power of the Sun

First, let's find the initial power of the Sun before the change using the formula: Power_initial = 蟽 脳 Area_initial 脳 T_initial^4 Area_initial = 4蟺R^2, and T_initial = T So, Power_initial = 蟽 脳 4蟺R^2 脳 T^4
02

2. Calculate the final radiant power of the Sun

Now, let's find the final power of the Sun after the change. The new temperature is 2T and the new radius is 2R. The new area is: Area_final = 4蟺(2R)^2 = 16蟺R^2 So, Power_final = 蟽 脳 Area_final 脳 T_final^4 Here, T_final = 2T, so T_final^4 = (2T)^4 = 16T^4 So, Power_final = 蟽 脳 16蟺R^2 脳 16T^4
03

3. Calculate the ratio of the radiant powers

Now, we will find the ratio of the final radiant power to the initial radiant power: Power_ratio = Power_final / Power_initial = (蟽 脳 16蟺R^2 脳 16T^4) / (蟽 脳 4蟺R^2 脳 T^4) Here, we can see that 蟽, 蟺, R^2, and T^4 terms get canceled out: Power_ratio = (16) / (4) = 4 So, the ratio of radiant energy received on Earth after the change is 4 times the previous energy received. Therefore, the correct answer is (A) 4.

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.

Over 30 million students worldwide already upgrade their learning with 91影视!

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 bodies each having a heat capacity of \(C=500 \mathrm{~J} / \mathrm{K}\) are joined together by a rod of length \(L=40.0 \mathrm{~cm}\), thermal conductivity \(20 \mathrm{~W} / \mathrm{mK}\), and cross-sectional area of \(S=3.00 \mathrm{~cm}^{2}\). The bodies are joined with the help of a thermally insulated rod. The time after which temperature difference diminishes \(\eta=2\) times is (Disregard the heat capacity of the rod.) (A) \(193 \mathrm{~min}\) (B) \(240 \mathrm{~min}\) (C) \(77 \mathrm{~min}\) (D) \(144 \mathrm{~min}\)

A copper sphere is suspended in an evacuated chamber maintained at \(300 \mathrm{~K}\). The sphere is maintained at constant temperature of \(900 \mathrm{~K}\) by heating electrically. A total of \(300 \mathrm{~W}\) electric power is needed to do this. When half of the surface of the copper sphere is completely blackened, \(600 \mathrm{~W}\) is needed to maintain the same temperature of sphere. The emissivity of copper is (A) \(1 / 4\) (B) \(1 / 3\) (C) \(1 / 2\) (D) 1

If the temperature of the sun is increased from \(T\) to \(2 T\) and its radius from \(R\) to \(2 R\), then the ratio of the radiant energy received on earth to what it was previously will be (A) 4 (B) 16 (C) 32 (D) 64

If the temperature of the sun is increased from \(T\) to \(2 T\) and its radius from \(R\) to \(2 R\), then the ratio of the radiant energy received on earth to what it was previously will be (A) 4 (B) 16 (C) 32 (D) 64

A body cools from \(60^{\circ} \mathrm{C}\) to \(50^{\circ} \mathrm{C}\) in \(10 \mathrm{~min}\). If the room temperature is \(25^{\circ} \mathrm{C}\) and assuming Newton's law of cooling to hold good, the temperature of the body at the end of the next 10 min will be (A) \(38.5^{\circ} \mathrm{C}\) (B) \(40^{\circ} \mathrm{C}\) (C) \(42.85^{\circ} \mathrm{C}\) (D) \(45^{\circ} \mathrm{C}\)
See all solutions

Recommended explanations on Physics Textbooks

Particle Model of Matter

Read Explanation

Physics of Motion

Read Explanation

Fundamentals of Physics

Read Explanation

Fluids

Read Explanation

Electromagnetism

Read Explanation

Magnetism

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.