One Liner Questions on Units and Dimensions. We covered all the One Liner Questions on Units and Dimensions in this post for free so that you can practice well for the exam.
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One Liner Questions on Units and Dimensions for Students
Approximately how much is one barrel of oil?
159 liters
What happens when an object is dropped from the surface of the moon to Earth?
Its weight changes, but its mass remains constant
What is a vector quantity?
Displacement
The unit of measurement that equals 0.39 inches is …….
Centimeter
The unit of electron-volt measures …..
One kilowatt-hour equals ……
3.6×10⁵ J
The unit to measure electrical output is …..
Watt (Power)
Airplanes and ships measure speed in …..
Knots
The unit of force is …..
Newton
What is the vector quantity of force?
What is the SI unit for energy (work)?
Joule
The CGS unit of magnetic intensity is ….
Oersted
What is used to measure wind speed?
Anemometer
The unit of light intensity is ……
Lumen
The unit of relative density is …..
It has no unit
What is the SI unit for pressure?
Pascal
The unit of measurement for “Radioactivity” is ….
Becquerel
The unit of measurement for “Force” is ….
Newton
The unit of pressure is …
Pascal
The SI unit of electric current is ……
Ampere
The CGS system’s base units are …..
Centimeter, Gram, Second
One watt-hour equals ….
3600 Joules
One volt equals ……
1 Joule per Coulomb
Kinetic energy and potential energy are types of …..
Scalar quantities
The physical quantity with the dimensional formula [MLT²] is ….
The unit of wavelength is …..
Meter
The device used to measure electric current is ….
Ammeter
The dimensional formula of energy is …..
[ML²T⁻²]
The unit used to measure food energy is ….
Calorie
Which units represent the same physical quantity?
Joule and Calorie
What is the correct statement regarding electric potential?
It is a scalar quantity
What is the application of a Reilomen scale used for?
Measuring smoke density
Among physical quantities, one scalar quantity is ….
Unit of length (Yang’s Unit)
A non-scalar quantity is ….
The unit used to measure gross force (Grosh) is ….
Momentum (Impulse)
The unit to measure alternating current is ….
Ampere
The SI unit of energy is ….
Joule per Kelvin
The unit to measure sound intensity is ….
Decibel
The unit of pressure is named after ….
Blaise Pascal
The unit used to measure magnetic flux density in the Tesla system is ….
Weber
The unit to measure light intensity is ….
Lumen
The SI unit of electrical charge is ….
Coulomb
One Pascal is equal to ….
One Newton per meter square
The unit to measure lens capacity is ….
Diopter
The unit of electrical conductivity is ….
Siemens
The SI unit of “Jerk” is ….
Meter per second cube
The unit of magnetic flux is ….
Weber
The unit of measurement for “Magnetic Field Strength” is ….
Ampere per meter
The unit of measurement for “Inductance” is ….
Henry
The unit of measurement for “Pressure” is ….
Pascal
The unit of measurement for “Thermal Capacity” is ….
Joule per Kelvin
The unit of measurement for “Capacitance” is ….
Farad
The unit of measurement for light intensity is ….
Candela
One horsepower is approximately equal to ….
746 watts
The SI unit of resistance is ….
Ohm
The commercial unit of electrical energy is ….
Kilowatt-hour
The SI unit of work is ….
Joule
The SI unit of absolute temperature is ….
Kelvin
The formula for pressure in physics is ….
Force/Area
The SI unit of pressure is named after ….
Blaise Pascal
The SI unit of torque is ….
Newton meter (Nm)
The unit of pressure in the metric system is ….
Pascal
The SI unit for heat is ….
Joule
The relationship between atm and bar is ….
1 atm = 1.013 bar
1 pound is equal to ….
16 ounces
Mohs scale is used to measure ….
The hardness of minerals
One nanometer is equal to ….
10^-9 meters
The device used by meteorologists to measure pressure differences across a surface is ….
Pyranometer
The unit of capacitance is ….
Farad
Two vectors are equal if ….
Their magnitude and direction are the same
A quantity that has both magnitude and direction is called ….
What are physical quantities?
Physical quantities are measurable properties of matter and energy, like mass, time, temperature, and length, that can be expressed with a unit.
What is a unit?
A unit is a standard quantity used to measure and express physical quantities.
Why are dimensions important in physics?
Dimensions help in understanding the physical nature of quantities and are used to derive relationships between them.
What are fundamental quantities?
Fundamental quantities are the basic physical quantities that cannot be defined in terms of other quantities, such as mass, length, time, and electric current.
What is the difference between a base unit and a derived unit?
A base unit is independent and used to measure fundamental quantities, while a derived unit is formed by combining base units, like velocity (m/s) or force (kg·m/s²).
What are the SI base units?
The SI base units are the seven fundamental units: meter (m), kilogram (kg), second (s), ampere (A), kelvin (K), mole (mol), and candela (cd).
What is dimensional analysis?
Dimensional analysis is a technique used to check the consistency of equations and derive relationships between physical quantities by comparing their dimensions.
What is the dimension of force?
The dimension of force is [M L T⁻²], where M is mass, L is length, and T is time.
What is the importance of dimensional formula?
Dimensional formulas help in identifying the relationship between different physical quantities, ensuring equations are dimensionally consistent, and in deriving physical laws.
How are the dimensions of velocity represented?
The dimension of velocity is [L T⁻¹], representing length divided by time.
What is the principle of homogeneity of dimensions?
The principle states that for an equation to be physically valid, the dimensions of both sides must be the same.
What is a derived unit?
A derived unit is a unit that is derived from the seven SI base units, such as the unit of force (newton), energy (joule), and pressure (pascal).
What is the dimensional formula for energy?
The dimensional formula for energy is [M L² T⁻²], as it can be expressed as mass × velocity² (kg·m²/s²).
Can the dimensions of a quantity be used to check the validity of an equation?
Yes, by comparing the dimensions on both sides of an equation, you can verify if the equation is dimensionally consistent.
What is the dimensional formula of acceleration?
The dimensional formula of acceleration is [L T⁻²], as it is the change in velocity (L T⁻¹) per unit time (T).
What is the dimension of energy density?
The dimension of energy density is [M L⁻¹ T⁻²], which is energy (M L² T⁻²) per unit volume (L³).
How is the unit of pressure defined?
The unit of pressure is defined as force per unit area, with the SI unit being the pascal (Pa), which is equal to one newton per square meter (N/m²).
What is the difference between dimensional formula and dimensional equation?
The dimensional formula represents the dimensions of a physical quantity, while the dimensional equation is an equation that expresses a physical quantity in terms of base quantities like mass, length, and time.
What is the dimension of Planck’s constant?
The dimension of Planck’s constant is [M L² T⁻¹], representing the relationship between energy and frequency in quantum mechanics.
What is the dimension of the gravitational constant (G)?
The dimension of the gravitational constant is [M⁻¹ L³ T⁻²], and it is used in the law of gravitation.
The dimensions of speed and velocity are the same, both being [L T⁻¹], as they are both measured as distance divided by time.
What is the importance of dimensional consistency in a formula?
Dimensional consistency ensures that the physical dimensions of each term in a formula match and that the formula is meaningful.
What is the dimension of pressure?
The dimensional formula for pressure is [M L⁻¹ T⁻²], as pressure is force per unit area (force is M L T⁻², and area is L²).
Can dimensions of physical quantities help in converting units?
Yes, knowing the dimensions of physical quantities can aid in converting between different units while maintaining the integrity of the physical laws.
How is dimensional analysis used in deriving physical laws?
Dimensional analysis helps derive physical laws by providing a framework to ensure equations are dimensionally consistent, assisting in the formulation of new relationships between quantities.
What are some practical applications of dimensional analysis?
Dimensional analysis is used in deriving formulas in physics, checking unit consistency, scaling laws in engineering, and converting units in various scientific calculations.
What is the dimension of frequency?
The dimension of frequency is [T⁻¹], representing the inverse of time.
What are the dimensions of force per unit length?
The dimensions of force per unit length are [M L T⁻²], which is the same as force because length does not alter the dimension in this case.
What is the dimensional formula for angular momentum?
The dimensional formula for angular momentum is [M L² T⁻¹], as it is the product of moment of inertia (M L²) and angular velocity (T⁻¹).
How is the dimensional formula of velocity derived?
The dimensional formula for velocity is derived from the relation between distance and time, so it is [L T⁻¹].
What is the dimension of a constant in an equation?
The dimension of a constant depends on the equation it is used in; constants themselves have no dimensions, but they are used to balance dimensions in equations.
What is the dimensional formula for power?
The dimensional formula for power is [M L² T⁻³], as power is energy (M L² T⁻²) divided by time (T).
Can dimensional analysis be used to derive new formulas?
Yes, by using dimensional analysis, we can derive new formulas by considering the dimensions of known quantities and relating them to each other.
What is the dimension of electric charge?
The dimension of electric charge is [A T], as charge is current (A) multiplied by time (T).
What is the dimension of specific heat capacity?
The dimension of specific heat capacity is [L² T⁻² Θ⁻¹], where Θ represents temperature.
What is the dimension of resistance in electrical circuits?
The dimension of resistance is [M L² T⁻³ A⁻²], derived from Ohm’s law (V = IR), where voltage has dimensions [M L² T⁻³ A⁻¹].
How does dimensional analysis help in fluid mechanics?
Dimensional analysis in fluid mechanics is used to derive scaling laws, check the consistency of fluid equations, and analyze fluid behavior in different conditions.
What is the dimension of surface tension?
The dimension of surface tension is [M T⁻²], as it is force per unit length.
What is the significance of the dimensionless quantity?
A dimensionless quantity has no physical dimensions and is often used to simplify equations or express ratios like Reynolds number in fluid dynamics.
How do dimensional formulas help in error analysis?
Dimensional formulas help detect errors by ensuring that all terms in an equation have the same dimensions, preventing inconsistent results.
What is the dimension of pressure in terms of fundamental quantities?
The dimension of pressure is [M L⁻¹ T⁻²], as it is defined as force per unit area (force is [M L T⁻²], and area is [L²]).
What is the dimensional formula of density?
The dimensional formula for density is [M L⁻³], as density is mass per unit volume.
The dimensions of energy and work are the same, both being [M L² T⁻²], as work is force applied over a distance.
What is the dimension of angular velocity?
The dimension of angular velocity is [T⁻¹], as it is the rate of change of angle with respect to time.
How do you express the dimensions of torque?
The dimensional formula for torque is [M L² T⁻²], as torque is the product of force and distance (force is [M L T⁻²] and distance is [L]).
What is the dimension of charge density?
The dimension of charge density is [M L⁻³ T⁻³ A], as it is charge per unit volume.
What is the dimension of frequency in terms of time?
The dimension of frequency is [T⁻¹], as it is the reciprocal of time.
How is the dimensional formula of energy density derived?
The dimensional formula for energy density is derived by dividing energy’s dimension [M L² T⁻²] by volume’s dimension [L³], giving [M L⁻¹ T⁻²].
What is the dimension of heat capacity?
The dimension of heat capacity is [M L² T⁻² Θ⁻¹], where Θ represents temperature.
How do dimensional formulas help in determining the dimensions of constants in equations?
Dimensional formulas help by matching the dimensions of both sides of an equation, ensuring consistency and allowing for the determination of unknown constants’ dimensions.
What is the dimension of impulse?
The dimension of impulse is [M L T⁻¹], as impulse is force multiplied by time, and force has the dimension [M L T⁻²].
What is the dimensional formula for electric field?
The dimensional formula for electric field is [M L T⁻³ A⁻¹], as it relates to force per unit charge.
How is the dimensional formula of potential energy expressed?
The dimensional formula for potential energy is [M L² T⁻²], as it is the product of force and displacement.
What is the dimensional formula for resistivity?
The dimensional formula for resistivity is [M L³ T⁻³ A⁻²], as resistivity relates to resistance per unit length and area.
What is the dimension of gravitational potential energy?
The dimension of gravitational potential energy is [M L² T⁻²], as it is mass multiplied by height and gravitational acceleration.
What is the dimension of electric potential?
The dimension of electric potential is [M L² T⁻³ A⁻¹], as it relates to energy per unit charge.
What is the dimensional formula for frequency in terms of angular displacement?
The dimensional formula for frequency, considering angular displacement, is [T⁻¹], as it is the inverse of time.
How is the dimensional formula of magnetic field derived?
The dimensional formula for magnetic field is derived as [M T⁻² A⁻¹], as it relates to force per unit current and length.
What is the dimensional formula for the permeability of free space (μ₀)?
The dimensional formula for permeability of free space is [M L T⁻² A⁻²], as it relates to the magnetic force between two currents.
What is the dimension of the moment of inertia?
The dimension of the moment of inertia is [M L²], as it is mass multiplied by the square of the distance from the axis of rotation.
What is the dimension of the coefficient of friction?
The dimension of the coefficient of friction is dimensionless, as it is a ratio of the force of friction to the normal force.
How is the dimensional formula for current derived?
The dimensional formula for current is [A], as it represents the flow of electric charge per unit time.
What is the dimension of magnetic flux?
The dimension of magnetic flux is [M L² T⁻² A⁻¹], as it is the product of magnetic field and area.
How is the dimensional formula for gravitational force derived?
The dimensional formula for gravitational force is [M L T⁻²], as it is derived from Newton’s law of gravitation, which involves mass and distance.
What is the dimension of power in terms of work and time?
The dimension of power is [M L² T⁻³], as power is work (energy) divided by time.
What is the dimensional formula for velocity in terms of acceleration and time?
The dimensional formula for velocity is [L T⁻¹], as it is derived from acceleration [L T⁻²] multiplied by time [T].
What is the dimension of acceleration due to gravity?
The dimension of acceleration due to gravity is [L T⁻²], as it represents the change in velocity per unit time due to gravitational pull.
How is the dimensional formula of temperature derived?
The dimensional formula for temperature is [Θ], as it is a fundamental physical quantity with no dependence on mass, length, or time.
What is the dimensional formula for torque in terms of force and displacement?
The dimensional formula for torque is [M L² T⁻²], derived from force [M L T⁻²] multiplied by displacement [L].
What is the dimensional formula for electrical power?
The dimensional formula for electrical power is [M L² T⁻³ A⁻¹], as it is the product of voltage and current, with voltage having the dimension [M L² T⁻³ A⁻¹].
What is the dimension of capacitance?
The dimension of capacitance is [M⁻¹ L⁻² T⁴ A²], as it relates to charge per unit voltage.
How does dimensional analysis assist in scaling physical quantities?
Dimensional analysis helps in scaling physical quantities by deriving scale factors that ensure consistent relationships between quantities in different systems or conditions.
What is the dimension of specific energy?
The dimension of specific energy is [L² T⁻²], as it is energy per unit mass.
How is the dimensional formula for pressure in a gas derived?
The dimensional formula for pressure in a gas is [M L⁻¹ T⁻²], as it is the force per unit area in the context of gas dynamics.
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