True or False: The least count of an instrument is the smallest value that can be measured by it.

True 

What is the difference between absolute error and relative error?

Absolute error is the magnitude of the difference between the true value and the measured value, while relative error is the ratio of absolute error to the true value.

What is a dimensional formula?

A dimensional formula expresses how various base quantities represent the dimensions of a physical quantity.

What is the formula for calculating mean absolute error?

True or False: Trailing zeros in a whole number without a decimal are always significant.

False - Trailing zeros in a number without a decimal place are insignificant.

Fill in the blank: The dimensions of volume are represented as ___ in terms of base quantities.

[L³]

Riddle: I am calculated when you find the difference from the average, but I’m not the average myself. What am I?

Error

What is the formula for relative error?

Relative Error = (Mean Absolute Error) / (Mean Value)

What is the significance of the dimensions of a physical quantity?

They represent the powers to which base quantities are raised to define the quantity.

True or False: The least count error can be minimized by using instruments of lower precision.

False - It can be minimized by using instruments of higher precision.

What is the arithmetic mean of measurements a₁, a₂, ..., aₙ?

Mean = (a₁ + a₂ + ... + aₙ) / n

What is the dimensional equation for force?

F = [MLT⁻²]

What is the rule for rounding off when the insignificant digit to be dropped is equal to 5?

If the preceding digit is even, it is left unchanged; if odd, it is raised by 1.

Fill in the blank: The least count is associated with the ___ of the measuring instrument.

Resolution

What is the dimensional formula for mass density?

[ML⁻³T⁰]