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Grade -11 (NEB) > Science Physics Dimension of Physical Quantities, Physical Quantities

Determine the dimensional formula of Gravitational constant (G)

Determine the dimensional formula of Gravitational constant (G)

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Solution:

We have,

\(F=\frac{Gm_1m_2}{d^2}\) ----------------- (i)

Or, \(G=\frac{Fd^2}{m_1m_2}\)

Where, F = force and d = distance, m1 and m2 = masses of two bodies.

Dimension of F = [MLT-2],

dimension of d = [L]

dimension of m = [M]

∴ Dimension of \(G=\frac{\left[MLT^{-2}\times L^2\right]}{\left[M\times M\right]}\)

\(\left[M^{-1}L^3T^{-2}\right]\)

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Things to Remember From Physical Quantities

  • Dimension of a physical quantity is the power to which the fundamental units must be raised, in order to represent it.

  • The dimension of mass is denoted as [M],
    the dimension of length is denoted as [L],
    the dimension of time is denoted as [T],
    the dimension of temperature is denoted as [K],
    the dimension of electric current is denoted as [A],
    the dimension of luminous intensity is denoted as [cd] and
    the dimension of substance is denoted as [mol]

  • The expression which shows how and which of the base quantities represent the dimensions of a physical quantity is called the dimensional formula

  • The dimensional equation can be obtained from the equation representing the relations between the physical quantities.

  • Angle is a dimensionless physical quantity.

 

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