The mechanical quantity, which has dimensions of reciprocal of mass (\(\text{M}^{-1}\)) is
The dimensions of the Gravitational constant \(G\) are \([\text{M}^{-1}\text{L}^3\text{T}^{-2}]\). Thus, it has the dimensions of reciprocal of mass.
The diameter of a spherical bob, when measured with vernier callipers yielded the following values: 3.33 cm, 3.32 cm, 3.34 cm, 3.33 cm and 3.32 cm. The mean diameter to appropriate significant figures is:
The mean of the values is \[\frac{3.33 + 3.32 + 3.34 + 3.33 + 3.32}{5} = 3.328 \text{cm}\]. Since the measurements are up to two decimal places, the rounded final result should also have two decimal places: 3.33 cm.
Consider the given statements:
Statement A: Measured value by any measuring instrument has some error.
Statement B: A measurement can have more accuracy and less precision and vice-versa.
Statement C: The magnitude of the difference between the true value of the quantity and the individual measured value is called relative error of measurement.
Choose the correct option.
Statements A and B are correct properties of measurements. Statement C is incorrect because the described quantity is the absolute error, not the relative error.