Units Dimensions And Measurements

Step 1: Concept
Total Reading ( ) = + ( ) - ( ).
Step 2: Analysis
- Main Scale Reading ( ) = 6.4 cm. - Vernier Scale Reading ( ) = 8. - Least Count ( ) = 0.01 cm. - Zero Error = cm.
Step 3: Calculation
- Observed Reading = cm. - True Length = Observed Reading - (Zero Error). - True Length = cm.
Step 4: Conclusion
Hence, the length of the rod is 6.52 cm.
Final Answer:(A)

Step 1: Concept
Dimensional Homogeneity. The exponent of must be dimensionless.
Step 2: Analysis
- Exponent term: is dimensionless ( ). - has dimensions of energy: . - .
Step 3: Calculation
- The term must have dimensions of Pressure ( ). - . - .
Step 4: Conclusion
Hence, the dimension of is .
Final Answer:(C)

The correct option is (A) :Kelvin.

Step 1: Write down the dimensional formula for Force.
Step 2: Multiply Force with Time and divide by Mass. Step 3: Recognize the dimensional formula.
Therefore, the correct answer is Velocity.