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JEE Physics > Units & Dimensions > Flashcards

Units & Dimensions Flashcards

1
Q

Representation of physical quantities

A

PQ=nU

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2
Q

Graph of n and U

A

Rectangular Hyperbole

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3
Q

Changimg Unit & magnitude to another

A

n1U1 = n2U2

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4
Q

7 Fundamentals quantities

A

Length
Mass
Time
Temperature
Amount of substance
Luminous Intensity
Electric current

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5
Q

Unit of fundamental quantities

A

M
Kg
S
K
Mol
λ
A

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6
Q

Supplimentary quantities

A

Plane angle
Solid angle

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7
Q

Unit of supplimentary quantities

A

Rad
Strad

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8
Q

MKS system of units

A

Meter–Kilogram–Second

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9
Q

CGS System of Units

A

Centimeter–Gram–Second

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10
Q

FPS System

A

Feet–Pound–Second

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11
Q

1⁰

A

1.75×10–2rad

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12
Q

1’

A

2.91×10–4 rad

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13
Q

1’’

A

4.85×10–5 rad

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14
Q

Plane angle =

A

Arc/radius

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15
Q

Solid angle =

A

Area/radius²

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16
Q

Device Used for parallax

A

Sextant

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17
Q

Angle in measurement of parallax

A

θ=b/r

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18
Q

Distance to a planet

A

r=b/θ
r–distance to the planet
b–distance btw 2 observatories

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19
Q

Diameter of a planet

A

d=ΦD
d–diameter of planet
D–distance to the planet

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20
Q

1 amu =

A

1.66×10–27

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21
Q

Mass of 1 e

A

9.1–31 kg

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22
Q

Quintel

A

100kg

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23
Q

Tonne

A

1000kg

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24
Q

Time span of an unstable particle

A

10–24s

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25
Q

Uncertainty of cesium clock

A

•1in10-13s
•3μs

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26
Q

1AU (Astronomical unit)

A

1.496×10¹¹m

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27
Q

1ly (light year)

A

9.46×10¹⁸m

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28
Q

1 parsec

A

3.08×10¹⁶

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29
Q

Size of a proton

A

10-15m

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30
Q

Radius of earth

A

10⁷

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31
Q

1angstrom Å

A

10–10

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32
Q

Mass using G,h&c

A

M=√(hc/G)

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33
Q

h

A

Planks constant

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34
Q

G

A

Gravitational constant

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35
Q

C

A

Speed of light

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36
Q

Length using G,h&c

A

L=√(hG/c³)

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37
Q

Time using G,h&c

A

T=√(hG/c⁵)

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38
Q

D❗√(l/g)

A

T

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39
Q

D❗√(m/k)

A

T
k–spring constant

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40
Q

D❗√(R/g)

A

T
R–radius of earth

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41
Q

D❗L/R

A

T
L–inductance
C–capacitance

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42
Q

D❗RC

A

T
R–resistance

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43
Q

D❗√(LC)

A

T

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44
Q

D❗f

A

T–1

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45
Q

D❗R/L

A

T-1

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46
Q

D❗1/RC

A

T–1

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47
Q

D❗1/√(LC)

A

T–1

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48
Q

D❗angular velocity (ω)

A

T–1

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49
Q

D❗Velocity gradient

A

T-1

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50
Q

D❗Energy density (1/2E²ε)

A

ML–1T–2

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51
Q

D❗Pressure

A

ML–1T–2

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52
Q

D❗Stress

A

ML–1T–2

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53
Q

D❗Rigidity modulus

A

ML–1T–2

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54
Q

D❗Young’s Modulus

A

ML–1T–2

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55
Q

D❗Bulk Modulus

A

ML–1T–2

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56
Q

D❗Momentum (p)

A

MLT–1

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57
Q

D❗Impulse

A

MLT–1

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58
Q

D❗Thrust

A

MLT–2

59
Q

D❗Force

A

MLT–2

60
Q

D❗Tention

A

MLT–2

61
Q

D❗Weight

A

MLT–2

62
Q

D❗Moment of Inertia

A

ML²T–2

63
Q

D❗Energy stored in a capacitor

A

ML²T–2

64
Q

D❗Energy

A

ML²T–2

65
Q

D❗Torque

A

ML²T–2

66
Q

D❗Work

A

ML²T–2

67
Q

D❗Angular momentum (l)

A

ML²T–1

68
Q

D❗Plank’s constant

A

ML²T–1

69
Q

D❗Angular Impulse

A

ML²T–1

70
Q

D❗Acceleration

A

LT–2

71
Q

D❗Intesity of Gravitational Field

A

LT–2

72
Q

D❗Latant Heat

A

L²T–2

73
Q

D❗Gravitational Potential

A

L²T–2

74
Q

D❗Thermal Capacity

A

ML²T–2K–1

75
Q

D❗Boltzmann Constant

A

ML²T–2K–1

76
Q

D❗Entropy

A

ML²T–2K–1

77
Q

D❗Universal Gas Constant

A

ML²T–2K–1

78
Q

D❗Angle

A

Dimensionless
Has Unit

79
Q

D❗Solid Angle

A

Dimensionless
Has Unit

80
Q

D❗Strain

A

Dimensionless

81
Q

D❗Refractive Index

A

Dimensionless

82
Q

D❗Relative Density

A

Dimensionless

83
Q

D❗Poisson’s ratio

A

Dimensionless

84
Q

D❗Specific Gravity

A

Dimensionless

85
Q

D❗Relative Error

A

Dimensionless

86
Q

D❗Mass Fraction

A

Dimensionless

87
Q

D❗Mole Fraction

A

Dimensionless

88
Q

1km/h

A

5/18 ms–1

89
Q

1 Calorie

A

4.2 J

90
Q

1 Newton

A

10⁵ dyne

91
Q

1 HP

A

746 W

92
Q

1 KWH

A

36×10⁵ J

93
Q

1 Weber

A

10⁸ Maxwell

94
Q

1 Joule

A

10 erg

95
Q

1 eV

A

1.6×10–19

96
Q

1 litre

A

10³ m³

97
Q

1 Tesla

A

10⁴ Gauss

98
Q

1 Kg wt

A

9.8 N

99
Q

X⁰C

A

X+273 K

100
Q

D❗Trigonometric value

A

(Trigno) x = 1

101
Q

D❗Exponential

A

e^xy = 1

102
Q

Accuracy

A

It is the closeness to the true value

103
Q

Precision

A

Linit to which a qantity is measured to
determined by least count

104
Q

Smallest least count

A

Greatest precision

105
Q

Error =

A

Measured value — True Value

106
Q

amean=

A

(a1 + a2 + …….an)/n

107
Q

Absolute error =

A

Δa1= |a1- amean |
Δa2 = |a2- amean|

108
Q

Mean absolute error =

A

Δamean = (Δa1 + a2…..Δan)/n

109
Q

Relative/Fractional error =

A

(Δamean)/amean

110
Q

Percetange fractional/Fractional error

A

(Δamean)/amean ×100

111
Q

If uncertain digit is < 5

A

The digit next to the uncertain digit remains the same

112
Q

If uncertain digit is > 5

A

The digit next to the uncertain digit is increased by 1

113
Q

If uncertain digit is = 5

A

■If the next digit is odd then we add it by +1
■If the next digit is even then it remains the same

114
Q

Errir in case of addition

A

(a±Δa) + (b±Δb) = a+b (Δa±Δb)

115
Q

Error in case of difference

A

(a±Δa) – (b±Δb) = a–b (Δa±Δb)

116
Q

Error in case of multiplication

A

A×B=R
ΔR/R = ΔA/A + ΔB/B

117
Q

Error in case of division

A

A/B=R
ΔR/R = ΔA/A + ΔB/B

118
Q

Error in case of exponents

A

Z=an
ΔZ/Z = n(ΔA/A)

119
Q

True reading

A

Observed reading – 0error

120
Q

Measuring instruments in the order of hightest—Lowest least count

A

Meter Scale
Vernier Scale
Screw Gauge

121
Q

📏Relation btw MSD & VSD

A

(9/10)MSD=1VSD

122
Q

📏Total Reading =

A

Main Scale + Coinciding Division × Least Count

123
Q

🗜 No error

A

When 0 of the main scale COINSIDE with 0 of vernier scale

124
Q

🗜 +ve 0 error

A

When 0 of main scale is to the RIGHT of the vernier scale

125
Q

🗜 –ve 0 error

A

When 0 of the main scale is to the LEFT of the vernier scale

126
Q

🔩 Pitch =

A

Displacement of screw / No of rotations

127
Q

🔩 Least Count =

A

= Pitch / No of division of circular scale

128
Q

🗜 Total Reading =

A

Path Scale reading + (correction hand scale division × least count)

129
Q

🗜 0 Error =

A

Least Count × No by which 0 is displaced in circular scale

130
Q

🗜 True Reading =

A

Observed Reading – 0Error

131
Q

√(E0/B0 =

A

C

132
Q

√(μ0/ε0 =

A

R

133
Q

Deca (de)

A

101

134
Q

Hecto (h)

A

102

135
Q

Kilo (k)

A

103

136
Q

Mega (M)

A

106

137
Q

Giga (G)

A

109

138
Q

Tera (T)

A

1012

139
Q

Deci (d)

A

10–1

140
Q

Centi (c)

A

10–2

141
Q

Milli (m)

A

10-3

142
Q

Micro (μ)

A

10-6

143
Q

Nano (n)

A

10-9

144
Q

Pico (p)

A

10-12

JEE Physics (2 decks)

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