Dimensional Analysis

Step 1: The formula for kinetic energy is: $KE%20%3D%20%5Cfrac%7B1%7D%7B2%7Dmv%5E2$ where $m$ = mass and $v$ = velocity.
Step 2: The dimensional formula of kinetic energy is: $%5BM%5D%5BL%5E2%5D%5BT%5E%7B-2%7D%5D$
Step 3: The formula for work is: $W%20%3D%20F%20%5Ccdot%20d%20%3D%20ma%20%5Ccdot%20d$ Its dimensional formula is: $%5BM%5D%5BL%5D%5BT%5E%7B-2%7D%5D%20%5Ccdot%20%5BL%5D%20%3D%20%5BM%5D%5BL%5E2%5D%5BT%5E%7B-2%7D%5D$
Step 4: Therefore, the dimensional formula of kinetic energy is the same as that of work.

High-Yield Trend

Chapter Questions
1 MCQs

Official Solution

Dimensional Analysis

High-Yield Trend

Chapter Questions 1 MCQs

Official Solution

Chapter Questions
1 MCQs