Units and Measurement: Overview, Questions, Preparation

Units and Measurement 2021

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Abhishek Dhawan

Abhishek DhawanAssistant Manager – Editorial Content

Updated on Jun 7, 2024 11:02 IST

What are Physics Symbols?

In physics, different notations are used to signify a quantity under consideration. The denotations illustrate the term being described as a symbol.

Some physics terms are easily understood (like “d” for distance), while others are slightly ambiguous (like “c” for the speed of light). Here is the list of the most frequently used units in science, along with the commonly used symbols. It is essential to remember that different symbols, sometimes, symbolize/describe the same quantity.

List of Physics Symbols

Symbol

Quantity/ Coefficients

S.I Unit

r

Radius, the radius of curvature

Meter

s

Displacement

Meter

d

Distance

Radian

θ, φ

Angular displacement, angular separation, the rotational angle

Meter

x, y, z

Cartesian coordinates

Unitless

î, ĵ, k̂

Cartesian unit vectors

Unitless

r, θ, φ

Spherical coordinates

Meter/Radian

r̂, θ̂, φ̂

Spherical unit vectors

Unitless

r, θ, z

Cylindrical coordinates

Meter/Radian

r̂, θ̂, ẑ

Cylindrical unit vectors

Unitless

Normal unit vector

Unitless

Tangential unit vector

Unitless

h

Height, depth

Meter

ℓ, L

Length

Meter

t

Time

Second

D

Diameter

Meter

C

Circumference

Meter

A, A

Area

Square meter

V

Volume

Cubic meter

t

Time, duration

Second

T

Periodic time

Second

τ

Time Constant

Second

f

Frequency

Hertz

ω

Angular frequency

Radian per second

Symbols Used in Modern Physics

Symbol

Quantity/Coefficients

S.I Unit

D

Dose/ dose absorbed

gray

t1⁄2

Half-life

Second

ψ(r,t), ψ(r)φ(t)

Wave function

Unitless

Φ

Work function

Joule

H

Effective dose

Sievert

Γ

Lorentz factor/Lorentz gamma

Unitless

Physics Symbols to Represent Physical Quantities in Mechanics

Symbol

Quantity

S.I Unit

v

Velocity, speed

meter per second

a

Acceleration

meter per second squared

ac

Centripetal/Centrifugal acceleration

meter per second squared

g

Acceleration due to gravity

meter per second squared

m

Mass

Kilogram

F

Force

Newton

Fg /W

Force due to gravity/Weight

Newton

Fn, N

Normal force, normal

Newton

Ff

Force of friction

Newton

µ

Coefficient of friction

Unitless

p

Momentum

Kilogram meter per second

J

Impulse

Newton second

E

Energy

Joule

K

Kinetic energy

Joule

U

Potential energy

Joule

Vg

Gravitational potential

Joule per kilogram

η

Efficiency

Unitless

P

Power

Watt

ω

Rotational speed, rotational velocity

Radian per second

α

Rotational acceleration

Radian per second squared

τ

Torque

Newton meter

I

Moment of inertia

Kilogram meter squared

L

Angular momentum

Kilogram meter squared per second

H

Angular impulse

Newton meter second

k

Spring constant

Newton per meter

p

Pressure

Pascal

σ

Stress

Pascal

τ

Shear stress

Pascal

ρ

Density, volume mass density

Kilogram per cubic meter

σ

Area mass density

Kilogram per square meter

λ

Linear mass density

Kilogram per meter

FB, B

Buoyancy

Newton

qm

Mass flow rate

Kilogram per second

qV

Volume flow rate

Cubic meter per second

FD, R

Drag or air resistance

Newton

CD

Drag coefficient

Unitless

η

Viscosi

Pascal-second

ν

Kinematic viscosity

Square meter per second

Ma

Mach number

Unitless

Re

Reynolds number

Unitless

Fr

Froude number

Unitless

E

Young’s modulus of elasticity

Pascal

G

Shear modulus of rigidity

Pascal

K

The bulk modulus of compression

Pascal

ε

Linear strain

Unitless

γ

Shear strain

Unitless

θ

Volume strain

Unitless

γ

Surface tension

Newton per meter

Physics Symbols in Class 11

This concept is taught under the chapter units and measurements. You will learn about the units of different physical quantities. The weightage of this chapter is 5 marks.

Illustrated Examples

1) G denotes which law of physics?

Answer - The gravitational constant is the basic element in Newton's fundamental law of gravity, usually denoted by G.

2) What is Q?

Answer - Q is the symbol used to denote "charge," thus n is an integer (positive or negative), and e is an electrical charge, 1.60 x 10-19 Coulombs.

3) What does V mean?

Answer - V stands for volts. Volt is the derived unit for electric potential and electric potential difference.

FAQs on Physics Symbols

Q: Answer the following: (a)You are given a thread and a meter scale. How will you estimate the diameter of the thread? (b)A screw gauge has a pitch of 1.0 mm and 200 divisions on the circular scale. Do you think it is possible to increase the accuracy of the screw gauge arbitrarily by increasing the number of divisions on the circular scale? (c) The mean diameter of a thin brass rod is to be measured by vernier calipers. Why is a set of 100 measurements of the diameter expected to yield a more reliable estimate than a set of 5 measurements only?

A: (a) We require a small cylindrical object on which the thread can be wrapped. Wind the thread in a circular fashion on to the cylinder so that the thread forms a coil. If L is the length of the thread and n is the number of turns, then the diameter D of the thread can be expressed as D = L/n

  • (b) The least count of the screw gauge = Pitch / number of divisions on the circular scale = 1/200 = 5 X 10-3  

By increasing the number of turns on the circular scale, when denominator increases, the least count will increase and the accuracy will increase. However, when the number of turns increases, there may the problem of readability of the scale.

  • (c) Taking 100 measurements, instead of 5 will reduce the probability of error and the observation will be more accurate.

Q: What is δ in physics?

A: In mechanics, delta-v is a calculation of transition in velocity. Delta is the main mathematical symbol used to denote transition.

Q: What is the significance of the symbol n in physics?

A: The newton is the SI unit of power. In technical literature, the word newton(s) is sometimes abbreviated N.

Q: What does r in physics mean?

A: Resistance is R. R = molecular gas constant.

Q: What does T stand for in physics?

A: t is typically used for time, but T is used as a temperature symbol.

Q: What is the C in physics?

A: The speed of light, defined as c, is a significant physical constant in many fields of physics.

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