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Chapter 1: Problem 45

Write CGS units of area, force, temperature and heat.

Short Answer

Expert verified
Answer: The CGS units for the given quantities are: - Area: square centimeters (cm²) - Force: dyne (g·cm/s²) - Temperature: degrees Celsius (°C) - Heat: erg (g·cm²/s²) or calorie (cal)

Step by step solution

01

Understand the CGS System

The Centimeter-Gram-Second (CGS) system is a unit system used in physics and engineering. In this system, the base units for length, mass, and time are the centimeter (cm), gram (g), and second (s), respectively.
02

Find CGS units for Area

Area is a derived unit that represents the size of a surface or a region. In the CGS system, area is determined by multiplying two lengths together. Since the base unit for length is centimeter (cm), the CGS unit for area is square centimeters (cm²).
03

Find CGS units for Force

Force is a derived unit representing the push or pull experienced by an object. The force can be calculated using Newton's second law of motion: F = m*a, where F is the force, m is the mass, and a is the acceleration. In the CGS system, the unit for mass is grams (g), and the unit for acceleration (derived from length over time squared) is centimeters per second squared (cm/s²). Therefore, the CGS unit for force is given by the product of these base units, which is dyne (1 dyne = 1 g·cm/s²).
04

Find CGS units for Temperature

Temperature is a measure of the average kinetic energy of particles in a substance. In the CGS system, temperatures are typically measured in degrees Celsius (°C). This is the same unit used in the SI system, which means there is no conversion necessary for temperature.
05

Find CGS units for Heat

Heat is a form of energy transfer between different substances or parts of a system due to a temperature difference. In the CGS system, heat is often measured in ergs (erg = 1 g·cm²/s²) or calories since it is a form of energy. However, another common unit for heat is the Kilocalorie (kcal), which is the same as 1000 calories (1 kcal = 1000 cal). So, the CGS units for the given quantities are: - Area: square centimeters (cm²) - Force: dyne (g·cm/s²) - Temperature: degrees Celsius (°C) - Heat: erg (g·cm²/s²) or calorie (cal)

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Most popular questions from this chapter

What is the consequence of change in density of liquids with temperature?

Write CGS unit and SI unit for given following physical quantities: (a) Area (b) Volume (c) Density (d) Velocity or Speed (e) Acceleration (f) Force (g) Weight (h) Pressure (i) Temperature (j) Energy

Convert \(1 \mathrm{~m} \mathrm{~s}^{-2}\) into \(\mathrm{cm} \mathrm{s}^{-2}\).

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What are the common multiple and submultiple units of mass? Express them in terms of \(\mathrm{kg}\).
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