Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app

Concepts Of Physics MCQ Edition [Volume 1]

Exam: Concepts Of Physics MCQ Edition [Volume 1]
Subject: Physics
Chapter: Introduction to Physics

Concepts Of Physics MCQ Edition [Volume 1] · Physics · Introduction to Physics

Assuming force, length, and time to be the fundamental quantities,...

Assuming force, length, and time to be the fundamental quantities, determine the dimensions of density.

Options

A $FL^{-3} T^2$
B $FL^{-4} T^2$
C $F^2L^{-4} T^2$
D $FL^{-2} T^2$

Correct answer

B. $FL^{-4} T^2$

Step-by-step solution

Density is defined as mass per unit volume.

Density

= \dfrac{M}{V} = \dfrac{M}{L^3}

From Newton's second law, force is the product of mass and acceleration.

F = M \times A = M \times LT^{-2}

M = FL^{-1}T^2

Substituting the dimensions of mass in the expression for density:

Density

= \dfrac{FL^{-1}T^2}{L^3} = FL^{-4}T^2

Practice Introduction to Physics on Quantrex Academy →

More from Introduction to Physics

Determine the dimensions of linear momentum. Concepts Of Physics MCQ Edition [Volume 1]Determine the dimensions of angular speed ω . Some of the equations involving related… Concepts Of Physics MCQ Edition [Volume 1]Determine the dimensions of angular acceleration α . Some of the equations involving… Concepts Of Physics MCQ Edition [Volume 1]Determine the dimensions of frequency. Concepts Of Physics MCQ Edition [Volume 1]Determine the dimensions of pressure. Concepts Of Physics MCQ Edition [Volume 1]Determine the dimensions of torque Γ . Some of the equations involving related quantities… Concepts Of Physics MCQ Edition [Volume 1]Determine the dimensions of moment of inertia I . Some of the equations involving related… Concepts Of Physics MCQ Edition [Volume 1]Determine the dimensions of the electric field E . The relevant equations are F = qE , F… Concepts Of Physics MCQ Edition [Volume 1] Full Introduction to Physics list All Concepts Of Physics MCQ Edition [Volume 1] PYQs