Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 7: Problem 1058

At what temperature the centigrade (celsius) and Fahrenheit readings at the same. \((\mathrm{A})-40^{\circ}\) (B) \(+40^{\circ} \mathrm{C}\) (C) \(36.6^{\circ}\) (D) \(-37^{\circ} \mathrm{C}\)

Short Answer

Expert verified
The temperature at which the Celsius and Fahrenheit readings are the same is \(-40^{\circ}\).

Step by step solution

01

Conversion formula

The formula to convert a Celsius temperature to Fahrenheit is \(F = \frac{9}{5}C + 32\) where F is the temperature in Fahrenheit, and C is the temperature in Celsius. #Step 2: Set the Celsius and Fahrenheit temperatures equal to each other#
02

Setting the temperatures equal

We are asked to find the temperature at which the Celsius and Fahrenheit readings are the same. So, we need to find the value of \(C\), the Celsius temperature, so that \(C=F\) Therefore, we will substitute the conversion formula into the equation: \(C = \frac{9}{5}C + 32\) #Step 3: Solve the equation for the Celsius temperature#
03

Solving the equation

To solve the equation, we first need to get the same denominator for both terms: \(5C = 9C + 160\) Then we will subtract \(9C\) from both sides of the equation: \(-4C = 160\) Finally, we will divide both sides by \(-4\): \(C = -40\) #Step 4: Check the solution in the options given#
04

Checking the solution

We found that the Celsius temperature at which the Celsius and Fahrenheit readings are the same is: \(C = -40^{\circ}\) Now, we need to check the options given: (A) \(-40^{\circ}\) (Correct) (B) \(+40^{\circ} \mathrm{C}\) (Not correct) (C) \(36.6^{\circ}\) (Not correct) (D) \(-37^{\circ} \mathrm{C}\) (Not correct) The answer is (A), \(-40^{\circ}\).

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

For a given material the Young's modulus is \(2.4\) times that of rigidity modulus. What is its poisson's ratio? (A) \(2.4\) (B) \(1.2\) (C) \(0.4\) (D) \(0.2\)

A body floats in water with one-third of its volume above the surface of water. It is placed in oil it floats with half of: Its volume above the surface of the oil. The specific gravity of the oil is. (A) \((5 / 3)\) (B) \((4 / 3)\) (C) \((3 / 2)\) (D) 1

The poisson's ratio cannot have the value.......... (A) \(0.7\) (B) \(0.2\) (C) \(0.1\) (D) \(0.5\)

In a water fall the water falls from a height of \(100 \mathrm{~m}\). If the entire K.E. of water is converted in to heat the rise in temperature of water will be (A) \(0.23^{\circ} \mathrm{C}\) (B) \(0.46^{\circ} \mathrm{C}\) (C) \(2.3^{\circ} \mathrm{C}\) (D) \(0.023^{\circ} \mathrm{C}\)

The work done in blowing a soap bubble of \(10 \mathrm{~cm}\) radius is [surface tension of soap solution is \(\\{(3 / 100) \mathrm{N} / \mathrm{m}\\}\) ] (A) \(75.36 \times 10^{-4}\) Joule (B) \(37.68 \times 10^{-4}\) Joule (C) \(150.72 \times 10^{-4}\) Joule (D) \(75.36\) Joule
See all solutions

Recommended explanations on English Textbooks

International English

Read Explanation

Textual Analysis

Read Explanation

Linguistic Terms

Read Explanation

Text Comparison

Read Explanation

Free Response Essay

Read Explanation

English Language Study

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