If force F=at+bt2 where t denotes t

CUET Preparation Today

Start Free Mocks

Home Questions S3DC2F2XYA

Target Exam

CUET

Subject

Physics

Chapter

Units and Measurements

Question:

If force F=at+bt²where t denotes time, the dimensions of a and b shall be

Options:

MLT^-3 , ML²T⁴

MLT^-3 , MLT^-4

MLT^-1 , MLT⁰

MLT^-4 , MLT^-1

Correct Answer:

MLT^-3 , MLT^-4

Explanation:

Dimension of at and bt²is same as that of force F.

Dimension of a =dimension of $\frac{F}{T}$ = MLT^-3

Dimension of b =dimension of $\frac{F}{T^2}$ = MLT^-4