PHYSICS
FORMULA BOOKLET - GYAAN SUTRA
INDEX
S.No. Topic Page No.
1. Unit and Dimension 2
2. Rectilinear Motion 3–4
3. Projectile Motion & Vector 5–5
4. Relavitve Motion 5–7
5. Newton’s Laws of Motion 7–9
6. Friction 9–9
7. Work, Power & Energy 10 – 11
8. Circular Motion 11 – 14
9. Centre of Mass 14 – 18
10. Rigid Body Dynamics 18 – 25
11. Simple Harmonic Motion 26 – 28
12. Sting Wave 29 – 31
13. Heat & Thermodynamics 31 – 37
14. Electrostatics 37 – 40
15. Current Electricity 41 – 47
16. Capacitance 47 – 51
17. Alternating Current 52 – 54
18. Magnetic Effect of Current & Magnetic
force on charge 54 – 56
19. Electromagnetic Induction 56 – 59
20. Geometrical Optics 59 – 66
21. Modern Physics 67 – 70
22. Wave Optics 70 – 73
23. Gravitation 73 – 75
24. Fluid Mechanics & Properties of Matter 75 – 77
25. Sound Wave 77 – 79
26. Electro Magnetic Waves 79 – 80
27. Error and Measurement 80 – 81
28. Principle of Communication 82 – 83
29. Semiconductor 84 – 85
Page # 1
, PHYSICS
FORMULA BOOKLET - GYAAN SUTRAA
UNIT AND DIMENSIONS
Unit :
Measurement of any physical quantity is expressed in terms of an
internationally accepted certain basic standard called unit.
* Fundamental Units.
S.No. Physical Quantity SI Unit Symbol
1 Length Metre m
2 Mass Kilogram Kg
3 Time Second S
4 Electric Current Ampere A
5 Temperature Kelvin K
6 Luminous Intensity Candela Cd
7 Amount of Substance Mole mol
* Supplementary Units :
S.No. Physical Quantity SI Unit Symbol
1 Plane Angle radian r
2 Solid Angle Steradian Sr
* Metric Prefixes :
S .N o . P re fix S ym b o l V a lu e
1 C e n ti c 1 0 –2
2 M ili m 1 0 –3
3 M icro µ 1 0 –6
4 Nano n 1 0 –9
–12
5 P ico p 10
3
6 K ilo K 10
6
7 M ega M 10
Page # 2
, RECTILINEAR MOTION
Average Velocity (in an interval) :
Total displacement r ri
v av = v = <v> = = f
Total time taken t
Average Speed (in an interval)
Total distance travelled
Average Speed =
Total time taken
Instantaneous Velocity (at an instant) :
r
v inst = lim
t 0 t
Average acceleration (in an interval):
v v f vi
a av = =
t t
Instantaneous Acceleration (at an instant):
dv v
a = = lim
dt t 0 t
Graphs in Uniformly Accelerated Motion along a straight line
(a 0)
x is a quadratic polynomial in terms of t. Hence x t graph is a
parabola.
x
x
a<0
xi xi
a>0
t t
0 0
x-t graph
v is a linear polynomial in terms of t. Hence vt graph is a straight line of
slope a.
v v
a
= slo
e u pe
op =
sl a
u
a is positive a is negative
t t
0 0
Page # 3
, v-t graph
at graph is a horizontal line because a is constant.
a a
positive
acceleration
a
0
negative
acceleration
t a
0
a-t graph
Maxima & Minima
dy d dy
=0 & < 0 at maximum
dx dx dx
dy d dy
and =0& > 0 at minima.
dx dx dx
Equations of Motion (for constant acceleration)
(a) v = u + at
1 2 1 2 1 2
(b) s = ut + at s = vt at xf = xi + ut + at
2 2 2
(c) v 2 = u2 + 2as
(u v ) a
(d) s= t (e) sn = u + (2n 1)
2 2
For freely falling bodies : (u = 0)
(taking upward direction as positive)
(a) v = – gt
1 2 1 2 1 2
(b) s=– gt s = vt gt hf = hi – gt
2 2 2
(c) v 2 = – 2gs
g
(d) sn = – (2n 1)
2
Page # 4
FORMULA BOOKLET - GYAAN SUTRA
INDEX
S.No. Topic Page No.
1. Unit and Dimension 2
2. Rectilinear Motion 3–4
3. Projectile Motion & Vector 5–5
4. Relavitve Motion 5–7
5. Newton’s Laws of Motion 7–9
6. Friction 9–9
7. Work, Power & Energy 10 – 11
8. Circular Motion 11 – 14
9. Centre of Mass 14 – 18
10. Rigid Body Dynamics 18 – 25
11. Simple Harmonic Motion 26 – 28
12. Sting Wave 29 – 31
13. Heat & Thermodynamics 31 – 37
14. Electrostatics 37 – 40
15. Current Electricity 41 – 47
16. Capacitance 47 – 51
17. Alternating Current 52 – 54
18. Magnetic Effect of Current & Magnetic
force on charge 54 – 56
19. Electromagnetic Induction 56 – 59
20. Geometrical Optics 59 – 66
21. Modern Physics 67 – 70
22. Wave Optics 70 – 73
23. Gravitation 73 – 75
24. Fluid Mechanics & Properties of Matter 75 – 77
25. Sound Wave 77 – 79
26. Electro Magnetic Waves 79 – 80
27. Error and Measurement 80 – 81
28. Principle of Communication 82 – 83
29. Semiconductor 84 – 85
Page # 1
, PHYSICS
FORMULA BOOKLET - GYAAN SUTRAA
UNIT AND DIMENSIONS
Unit :
Measurement of any physical quantity is expressed in terms of an
internationally accepted certain basic standard called unit.
* Fundamental Units.
S.No. Physical Quantity SI Unit Symbol
1 Length Metre m
2 Mass Kilogram Kg
3 Time Second S
4 Electric Current Ampere A
5 Temperature Kelvin K
6 Luminous Intensity Candela Cd
7 Amount of Substance Mole mol
* Supplementary Units :
S.No. Physical Quantity SI Unit Symbol
1 Plane Angle radian r
2 Solid Angle Steradian Sr
* Metric Prefixes :
S .N o . P re fix S ym b o l V a lu e
1 C e n ti c 1 0 –2
2 M ili m 1 0 –3
3 M icro µ 1 0 –6
4 Nano n 1 0 –9
–12
5 P ico p 10
3
6 K ilo K 10
6
7 M ega M 10
Page # 2
, RECTILINEAR MOTION
Average Velocity (in an interval) :
Total displacement r ri
v av = v = <v> = = f
Total time taken t
Average Speed (in an interval)
Total distance travelled
Average Speed =
Total time taken
Instantaneous Velocity (at an instant) :
r
v inst = lim
t 0 t
Average acceleration (in an interval):
v v f vi
a av = =
t t
Instantaneous Acceleration (at an instant):
dv v
a = = lim
dt t 0 t
Graphs in Uniformly Accelerated Motion along a straight line
(a 0)
x is a quadratic polynomial in terms of t. Hence x t graph is a
parabola.
x
x
a<0
xi xi
a>0
t t
0 0
x-t graph
v is a linear polynomial in terms of t. Hence vt graph is a straight line of
slope a.
v v
a
= slo
e u pe
op =
sl a
u
a is positive a is negative
t t
0 0
Page # 3
, v-t graph
at graph is a horizontal line because a is constant.
a a
positive
acceleration
a
0
negative
acceleration
t a
0
a-t graph
Maxima & Minima
dy d dy
=0 & < 0 at maximum
dx dx dx
dy d dy
and =0& > 0 at minima.
dx dx dx
Equations of Motion (for constant acceleration)
(a) v = u + at
1 2 1 2 1 2
(b) s = ut + at s = vt at xf = xi + ut + at
2 2 2
(c) v 2 = u2 + 2as
(u v ) a
(d) s= t (e) sn = u + (2n 1)
2 2
For freely falling bodies : (u = 0)
(taking upward direction as positive)
(a) v = – gt
1 2 1 2 1 2
(b) s=– gt s = vt gt hf = hi – gt
2 2 2
(c) v 2 = – 2gs
g
(d) sn = – (2n 1)
2
Page # 4
