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Dimensional Equation : - An equation obtained by equating a physical quantity with its dimensional formula is called the dimensional equation of the physical quantity. Thus, the dimensional equations are the equations, which represent the dimensions of a physical quantity in terms of the base quantities. For example, the dimensional equations of volume [V], speed [v], force [F] and mass density [ ρ ] may be expressed as [V] = [M0 L3 T0] [v] = [M0 L T–1] [F] = [M L T–2] [ ρ ] = [M L–3 ... Learn how to derive the dimensional formula of force using Newton's second law ($F=ma$). Understand M, L, T dimensions for physics exam prep (JEE/NEET). The dimensional formula of force is derived from the equation F = ma, where F is Force, m is Mass, and a is Acceleration. Acceleration is dimensionally represented as L^1 T^-2, hence substituting in the equation gives the dimensions of Force as M^1 L^1 T^-2. Hint: First of all, write the formula for the given quantities i.e., force = mass × a c c e l e r a t i o n, density = mass volume, velocity = change in displacement time, pressure = force time and pressure = force time and then write the dimensional formula for them. Complete step by step solution: density = mass volume Dimensions of a derived unit are the powers to which the fundamental units of mass (M), length (L), time (T) etc. must be raised to represent that unit. Dimensional formula ...
