Know Common Conversions by Heart

• Memorize common unit conversions such as 1 meter = 100 centimeters, 1 kilogram = 1000 grams, and 1 kilometer = 1000 meters. These will save you time in calculations.

Use Scientific Notation

• When working with very large or very small numbers, use scientific notation to simplify calculations. For example, (3 \times 10^8) is easier to work with than 300,000,000.

Leverage Dimensional Analysis

• When you need to derive a formula or check the validity of an equation, use dimensional analysis to ensure that units on both sides of the equation are consistent. This can help you identify incorrect answers quickly.

Shortcut for Square and Cube Units

• When dealing with squared or cubed units, remember that the unit area of a square is m² and the unit volume of a cube is m³. For example, if you are calculating the volume of a cube with sides in centimeters, the volume will be in cm³.

Avoid Complex Unit Manipulations

• If a problem involves complex unit manipulations, consider solving it symbolically until the final step. This can save you time on calculations.

Cross-Cancellation

• When you need to perform unit conversions involving multiple conversion factors, look for opportunities to cancel units across the fractions. For example, when converting from meters to kilometers, you can cancel out “meters” from the numerator and denominator.

Estimation and Approximation

• JEE questions often have multiple-choice answers. You can use estimation and approximation to quickly eliminate unrealistic answer choices and narrow down your options.

Understand Standard Constants

• Familiarize yourself with standard physical constants, such as the speed of light $$((3 \times 10^8) m/s),$$ Planck’s constant $$((6.626 \times 10^{-34}) Js),$$ and Avogadro’s number $$((6.022 \times 10^{23}) mol⁻¹).$$ Knowing these constants can help you solve problems more efficiently.

Practice Mental Math

• Improve your mental math skills for quick calculations. This will help you save time during the exam.

Dimensionless Quantities

• Recognize that dimensionless quantities, like ratios or percentages, often have no units. This can simplify calculations in certain problems.

Use Unit Analysis for Elimination

• If you’re unsure about how to approach a problem, use unit analysis to eliminate answer choices that don’t have the correct units. This can narrow down your choices.

Focus on High-Weight Topics

• While studying, prioritize topics that have a higher weightage in the JEE syllabus. Spending more time on high-weight topics can yield better results in the exam.