Can we use dimensional analysis to derive any formula?

None of these can be derived using dimensional analysis because dimensional analysis can only tell the dimensional quantities that constitute the formula and not the constant values, No A and $\dfrac{1}{2}$which can be determined by dimensional analysis.

What is the universal law of gravitation derive its formula?

According to the Universal law of gravitation, the force between two bodies is directly proportional to their masses and inversely proportional to a square of the distance. Mathematically it can be represented as follows: F∝m1m2r2⇒F=Gm1m2r2. where, F is the gravitational force between two bodies.

Can you formulate the law of universal gravitation?

Sir Isaac Newton’s inspiration for the Law of Universal Gravitation was from the dropping of an apple from a tree. The mathematical formula for gravitational force is F=GMmr2 F = G Mm r 2 where G is the gravitational constant.

How do you write the dimensional formula of universal gravitational constant?

Or, G = [M1 L1 T-2] × [M0 L1 T0]2 × [M1 L0 T0]-1 × [M1 L0 T0]-1 = M-1 L3 T-2. Therefore, the Universal Gravitational Constant is dimensionally represented as [M-1 L3 T-2].

Which of the following relations Cannot be derived from dimensional analysis?

A : Physical relations involving addition and subtraction cannot be derived by dimensional analysis.

Which of the following Cannot be derived by dimensional method?

(A): The value of dimensionless constants or proportionality constants cannot be found by dimensional methods.

Why universal law of gravitation is universal?

It is called so because it is applicable on all bodies having mass, and the bodies will be governed by the same law, that is newton’s law of gravitation. Thus, as it is applicable universally, it is called as universal law.

What is gravitational constant G and also derive dimensions of G?

Or, G = [M1 L1 T-2] × [L]2 × [M]-2 = [M-1 L3 T-2]. Therefore, the gravitational constant is dimensionally represented as M-1 L3 T-2.

What is universal law of gravitation constant?

In Newton’s law of universal gravitation, the attractive force between two objects (F) is equal to G times the product of their masses (m1m2) divided by the square of the distance between them (r2); that is, F = Gm1m2/r2.