Taking force, length, and time as fundamental quantities, find the dimensional formula for the density.
Derive the dimensions of the specific heat capacity of a substance.
The density of gold is 19.3 gm/cc. Express its value in the SI unit.
Write the dimensional formula of gravitational constant and latent heat.
Determine the dimensional formula of Gravitational constant (G)
Check the correctness of the relation, \(h=\frac{2T\cos\left(\theta\right)}{r\rho g}\), where symbols have usual meaning.
Check the correctness of the formula, PV = RT using the dimensional method.
Check dimensionally the correctness of Stoke's formula, F = 6πηrv
A student writes an expression of the momentum (p) of a body of mass (m) with total Energy (E) and considers the duration of the time (t) as \(p=\sqrt{2m\frac Et}\). Check its correctness by using dimensional analysis.
The energy of a photon is given by E = hf. Find the dimension and unit of the plank's constant, where f is the frequency of radiation.
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