The displacement of a particle is given by x = at + bt², where x is in meters and t is in seconds. The units of 'b' are:

Model Answer & Options

Source: Extra Practice

m/s²

m/s

m s

m

Explanation

By the principle of homogeneity, dimensions of each term on the RHS must equal dimensions of the LHS. So, [bt²] = [x]. [b] [T²] = [L]. Thus, [b] = [L T⁻²]. The unit is meters per second squared (m/s²). m/s is the unit for 'a', m s and m are dimensionally inconsistent with the term bt² equaling a length.

Take Topic Quiz

Test your understanding of this topic with instant AI feedback.

Start Interactive Test

Explore the Full Topic

This is just one question from the topic "units and measurement".

View All Questions

Related Questions