Units and Formulas by ICSEHUB

(based on ICSE class-10 Syllabus)

FORCE

Concept

Formula

S.I.

CGS

Force

m x a

Newton (N)

dyne (10-5 N)

Torque

F x ( ⊥ distance between Point of action and axis)

Newton-meter

dyne-cm

 

Work , Energy and Power

Concept

Formula

S.I.

CGS

Work

Force x Displacement x cosθ

M x g x h

Change in Kinetic Energy

Joule (J)

erg (10-7 J)

Power

Work / Time

Watt (W)

erg / sec

Commercial Energy

Power X Time

Watt-hour & KiloWatt-hour

Energy

Kinetic :  ½ mv2

Potential : mgh

Joule (J)

erg (10-7 J)

Electron Volt

Charge of 1 electron x 1V

1.6 x 10-19J

Not required

 

Machines

Concept

Formula

Mechanical Advantage (M.A)

Load/Effort

Effort Arm / Load Arm

Velocity Ratio (V.R.)

Effort Velocity / Load Velocity

Effort Distance / Load Distance

Efficiency

(Work Output / Work Input)

M.A / V.R

 

1 Horsepower =  746 Watt

Mechanical Energy = K.E. + P.E.

MA and VR have no units as they are ratios.

Light and Sound

Concept

Formula

Frequency

1/ Time Period  (Hertz)

Speed of light in a medium

Wavelengh x Frequency

 

Wavelength / Time period

Refractive Index

sin i / sin r

 

Speed of light in vaccume / Speed of light in other medium

 

Real depth / Apparent depth

 

1 / sin c  ;  c =  (critical angle)

 

Lens Formula

1/f = 1/v – 1/u

 

v = image distance

u = object distance

 

Very Important  ||  v - image

Oh U(you) || Object – u

 

Magnification

Height of Image / Height of Object

 

Image distance / Object distance

 

Power

1 / focal length of lens in meters

 

SI unit : Dioptre (D)

Covenx +D , Concave –D

 

Magnifing Power

1 + 0.25 / focal length

Unit : Dioptre

 

Speed of Sound

2 x Distance / Time Taken

Electricity

Concept

Formula

Unit

Current

Charge / Time  (Q/t)

Ampere

Potentital Difference

V = Current x Resistance

V = IR

V = Emf - v

Volt

Resistance (R)

Potential Difference / Current

Resistivity x Length / Cross-section Area

Ohm

Emf

Current x Total Resistance

Terminal Voltage + Voltage Drop

Volt

Internal Resistance (r)

#   r = ( Emf/V - 1)R

Ohm

Total Resistance

R + r

Ohm

Resistivity

R x a/L

Ohm-meter

Voltage Drop (v)

Current x Internal Resistance

Volt

Conductance

1 / Resistance

Mho

Conductivity

1 / Resistivity

1 / ohm x meter

Connection Resistance

Series : R = r1 + r2  + r3 ….

Parallel :1/R = 1/r1 + 1/r2  + 1/r3

 

Ohm

 

Household Circuits

Concept

Formula

Unit

Electric Work (W)

VIt

I2Rt

Joule

Power (P)

V x I

W/t

Watt

Heat (H)

I2Rt

Joule

 

 

 

Electromagnetism

Concept

Formula

Unit

Force

iBL

Newton

Magnetic Strength (B)

F / IL

Tesla

Heat (H)

I2Rt

Calorie or Joule

 


 

EXAMINER’S SUGESTIONS  (Issued by Council)

 

a)   Avoid selective study.

b)   Read the questions heedfully and write answer in brief and to the point.

c)   Express the answer only in SI units unless otherwise asked.

d)   Learn the principles, laws and definitions accurately.

e)   Focus more on conceptual learning rather than the rote learning.

f)    Make observations and try to relate your learning with it.

g)   State the meaning of the symbols if the answer is given in terms of any formula/mathematical equation.

h)   Use abbreviations/symbols which are standard/acceptable.

i)     Solve at least the last five years’ I.C.S.E. question papers.

j)     Write in a neat and legible handwriting.

k)   Avoid changing the order of sequence of questions and numbering system while attempting the paper.

l)     Express final answer with proper unit as per the requirement of the question.

m) While writing the answers it is not only important to cover all the points but also to present them in a proper sequence.

n)   It is better to inculcate the habit of underlining the important points or key words in the answer.