Units and Measurement JEE Quiz

Questions and Answers

What is the dimensional formula for the physical quantity in the International System of Units (SI) known as energy?

M^1 L^2 T^-2 (correct)

M^0 L^2 T^-1

M^1 L^1 T^-1

M^2 L^1 T^-2

A rectangular block has dimensions 1.5 m × 0.5 m × 0.3 m. What is the volume of the block in cubic meters?

0.300 m^3

0.225 m^3 (correct)

0.75 m^3

0.450 m^3

Which of the following is NOT a fundamental quantity in the SI system of units?

Force (correct)

Mass

Length

Temperature

In a measurement, if the actual length is 5.0 m and the measured length is 5.1 m, what is the percentage error in the measurement?

<p>2.0%</p> Signup and view all the answers

Which one of the following conversions is incorrect?

<p>1 inch = 10 cm</p> Signup and view all the answers

Study Notes

Dimensional Formula for Energy

Energy is represented by the dimensional formula [M^1 L^2 T^-2].
It reflects mass (M), length (L), and time (T) dimensions in the International System of Units (SI).

Volume of a Rectangular Block

Volume is calculated using the formula: Volume = length × width × height.
For a block with dimensions 1.5 m × 0.5 m × 0.3 m, the volume is 0.225 m³ (1.5 × 0.5 × 0.3).

Fundamental Quantities in SI Units

Fundamental quantities in the SI system include length, mass, time, electric current, thermodynamic temperature, amount of substance, and luminous intensity.
Identify which specified quantity is not considered fundamental.

Percentage Error in Measurements

Percentage error is calculated using the formula: [ \text{Percentage Error} = \left( \frac{\text{Measured Value} - \text{Actual Value}}{\text{Actual Value}} \right) \times 100 ]
For an actual length of 5.0 m and a measured length of 5.1 m, the percentage error is calculated as (\frac{(5.1 - 5.0)}{5.0} \times 100 = 2%).

Unit Conversion

Understand that conversions between different units can vary in correctness.
Be attentive to identify incorrect conversions, as they can lead to errors in calculations.

Description

Test your knowledge of Units and Measurement with this comprehensive quiz designed for JEE aspirants. This quiz includes 300 multiple-choice questions covering key concepts such as dimensional formulas, volume calculations, and error analysis. Challenge yourself and reinforce your understanding of important topics in physics.