IMPORTANT
FACTS
AND
FORMULAE
FOR JEE
,Sr.No. Subjects Page No.
1. Physics 1 - 39
2. Chemistry 40 - 90
3. Mathematics 91 - 158
,1 PHYSICS
IMPORTANT FACTS AND FORMULAE FOR JEE
AIEEE – PHYSICS
UNITS & MEASUREMENT
1. If x = am bn cp,
then fractional error in ‘x’ can be calculated as
'x 'a 'b 'c
m n p .
x a b c
2. For vernier callipers, least count = s – v.
(s = length of one division on main scale, v = length of one division on
vernier scale.)
3. Length measured by vernier calliper = reading of main scale + reading of
vernier scale × least count.
pitch of the screw
4. For Screw Gauge, least count = .
no. of divisions on the circular scale
dis tan ce travelled on the pitch scale
where, Pitch = .
no. of rotations
5. Length measured by screw gauge = Reading of main scale + Reading of
circular scale × least count.
MOTION IN ONE DIMENSION
t1 = initial time, t2 = final time
u = initial velocity, v = final velocity
vav = average velocity a = acceleration
s = net displacement/distance
total dis tan ce travelled
1. Average speed, vav =
t2 t1
§ 's · ds
2. Instantaneous speed, v = lim ¨ ¸
't o f © 't ¹ dt
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, 2 PHYSICS
t2
o
3. Displacement = ³t v dt
1
t2
4. Total distance = ³t v dt
1
dv dv d2 s
5. a = = v =
dt ds dt2
6. When acceleration is constant,
1 2
V = u + at, s = ut at & v2 = u2 + 2as
2
MOTION IN TWO AND THREE DIMENSION
Z = angular velocity, D = angular acceleration,
aW = tangential acceleration, aN = normal acceleration
R = radius of curvature
Vectors
o
1. R = P 2 Q2 2PQcos T
o o
Where ‘ T ’ is angle between the vectors and direction of R from P ,
Qsin T
I = tan-1
P Qcos T
o§ · o§ ·
2. Two vectors a ¨ a1 i a 2 j a 3 k ¸ and b ¨ b1 i b2 j b3 k ¸ are equal if :
© ¹ © ¹
a1 = b 1,
Lakshya Educare
FACTS
AND
FORMULAE
FOR JEE
,Sr.No. Subjects Page No.
1. Physics 1 - 39
2. Chemistry 40 - 90
3. Mathematics 91 - 158
,1 PHYSICS
IMPORTANT FACTS AND FORMULAE FOR JEE
AIEEE – PHYSICS
UNITS & MEASUREMENT
1. If x = am bn cp,
then fractional error in ‘x’ can be calculated as
'x 'a 'b 'c
m n p .
x a b c
2. For vernier callipers, least count = s – v.
(s = length of one division on main scale, v = length of one division on
vernier scale.)
3. Length measured by vernier calliper = reading of main scale + reading of
vernier scale × least count.
pitch of the screw
4. For Screw Gauge, least count = .
no. of divisions on the circular scale
dis tan ce travelled on the pitch scale
where, Pitch = .
no. of rotations
5. Length measured by screw gauge = Reading of main scale + Reading of
circular scale × least count.
MOTION IN ONE DIMENSION
t1 = initial time, t2 = final time
u = initial velocity, v = final velocity
vav = average velocity a = acceleration
s = net displacement/distance
total dis tan ce travelled
1. Average speed, vav =
t2 t1
§ 's · ds
2. Instantaneous speed, v = lim ¨ ¸
't o f © 't ¹ dt
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, 2 PHYSICS
t2
o
3. Displacement = ³t v dt
1
t2
4. Total distance = ³t v dt
1
dv dv d2 s
5. a = = v =
dt ds dt2
6. When acceleration is constant,
1 2
V = u + at, s = ut at & v2 = u2 + 2as
2
MOTION IN TWO AND THREE DIMENSION
Z = angular velocity, D = angular acceleration,
aW = tangential acceleration, aN = normal acceleration
R = radius of curvature
Vectors
o
1. R = P 2 Q2 2PQcos T
o o
Where ‘ T ’ is angle between the vectors and direction of R from P ,
Qsin T
I = tan-1
P Qcos T
o§ · o§ ·
2. Two vectors a ¨ a1 i a 2 j a 3 k ¸ and b ¨ b1 i b2 j b3 k ¸ are equal if :
© ¹ © ¹
a1 = b 1,
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