This chapter discusses the fundamental concepts of measuring physical quantities, the importance of units, and the International System of Units (SI). Understanding these concepts is crucial for studying physics.
UNITS AND MEASUREMENTS – Formula & Equation Sheet
Essential formulas and equations from Physics Part - I, tailored for Class 11 in Physics.
This one-pager compiles key formulas and equations from the UNITS AND MEASUREMENTS chapter of Physics Part - I. Ideal for exam prep, quick reference, and solving time-bound numerical problems accurately.
Key concepts & formulas
Essential formulas, key terms, and important concepts for quick reference and revision.
Formulas
V = l³
V represents volume (in cubic meters), and l is the length of the side of a cube (in meters). This formula gives the volume of a cube as the cube of its side length.
A = 6l²
A represents surface area (in square meters) and l is the length of a side of a cube (in meters). This formula calculates the total surface area of the cube.
d = m/V
d represents density (in kg/m³), m is mass (in kg), and V is volume (in m³). This formula relates mass and volume to determine density.
Ohm's Law: V = IR
V is voltage (in volts), I is current (in amperes), and R is resistance (in ohms). This law defines the relationship between voltage, current, and resistance.
F = ma
F represents force (in newtons), m is mass (in kg), and a is acceleration (in m/s²). This formula relates force, mass, and acceleration in Newton's second law.
s = ut + (1/2)at²
s is displacement (in meters), u is initial velocity (in m/s), a is acceleration (in m/s²), and t is time (in seconds). This formula calculates the displacement of an object under uniform acceleration.
v = u + at
v is final velocity (in m/s), u is initial velocity (in m/s), a is acceleration (in m/s²), and t is time (in seconds). It describes the relation between initial and final velocity with acceleration.
[F] = [M][L][T⁻²]
The dimensional formula for force (F) shows that it depends on mass (M) and acceleration (length/time²).
[v] = [L][T⁻¹]
The dimensional formula for velocity (v) indicates it is derived from length (L) over time (T).
[ρ] = [M][L⁻³]
The dimensional formula for density (ρ) indicates mass (M) per unit volume (L³), showing its relation to mass and volume.
Equations
S.I. unit of Length: meter (m)
Meter is the fundamental unit of length in the International System of Units (SI) and is defined by the distance light travels in a vacuum in 1/299,792,458 seconds.
S.I. unit of Mass: kilogram (kg)
Kilogram is the basic unit of mass in SI, defined based on the fixed numerical value of the Planck constant.
S.I. unit of Time: second (s)
Second is the base unit of time in SI, defined by a specific number of oscillations of the cesium atom's frequency.
1 km = 1000 m
This conversion shows how kilometers relate to meters, useful for converting distances.
1 m = 100 cm
This conversion indicates that one meter equals one hundred centimeters, aiding in unit conversions for length measurements.
1 L = 1000 cm³
This conversion demonstrates the relationship between liters and cubic centimeters, crucial in fluid volume measurements.
1 J = 1 kg m²/s²
This shows that one joule of energy is equivalent to one kilogram meter squared per second squared, linking energy and work.
1 N = 1 kg m/s²
This indicates that one newton of force is equal to one kilogram meter per second squared, relating force to mass and acceleration.
Frequency (f) = 1/T
f represents frequency (in hertz) and T is the period (in seconds). This equation defines frequency as the reciprocal of period.
Area (A) = πr²
A indicates the area of a circle (in square meters) where r is the radius (in meters). This formula is fundamental for calculating circular areas.
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