Units Dimensions And Measurements

In SI units, the unit of energy is the joule (J), which is defined as: Therefore, corresponds to joule.

- has 4 significant figures (leading zeros are not significant).
- has 4 significant figures (trailing zeros without decimal are not counted beyond last non-zero digit).
- has 4 significant figures (trailing zero after decimal is significant).
Hence, .

Step 1: Understand what counts as significant figures. Significant figures are the digits that carry meaning contributing to a number's accuracy. Step 2: Identify and discard leading zeros. In , all the leading zeros (those before the first non-zero digit) are not counted. Step 3: Count the remaining digits. After skipping the zeros, we are left with: So, the number of significant figures = 4. Conclusion: is the correct number of significant figures.

We are given: Let’s derive the dimensional formula of each component:
- Moment of inertia :
- Force :
- Velocity : , so
- Work :
- Length
Now substitute all into the equation: The dimensional formula corresponds to surface tension, which is force per unit length.
Hence, the correct answer is surface tension.