Question

2. Write quantiws having same dinaensioks

Answer 1

Answer:

A pair of quantities having same dimensions are

Strain, refractive index, relative density, angle, solid angle, distance gradient, relative permittivity (dielectric constant), relative permeability etc.

Explanation:

Note: The dimension of quantities which are interchangeable into one another have exactly the same dimension. For example, energy can transform from one form to another. So each type of energy whether it is kinetic energy or nuclear energy, they all have the same dimension.

Answer 2

Question :-

Write quantities having same dimensions.

Answer :-

$\begin{tabular}{||c|c|c||}\cline{1-3}S.N.& Dimensions & Quantity\\\cline{1-3}1& M^0L^0T^{0}& Relative denstity/Angle/Solid angle\\\cline{1-3}2& M^0L^0T^{-1}& Frequency/Angular Frequency/Angular Velocity\\\cline{1-3}3& M^0L^1T^{-2}& Acceleration due to gravity/Gravitational field intensity\\\cline{1-3}4& M^0L^0T^{1}& \sqrt{\frac{l}{g}},\sqrt{\frac{m}{k}}\\\cline{1-3}5& M^0L^2T^{-2}& Latent\:heat/Gravitational potential\\\cline{1-3}6& M^1L^1T^{-1}& Momentum/Impulse\\\cline{1-3}7& M^1L^1T^{-2}& Thrust/Force/Weight\\\cline{1-3}8& M^1L^{-1}T^{-2}& Pressure/Energy density\\\cline{1-3}9& M^1L^2T^{-1}& Angular momentum/Plank's constant\\\cline{1-3}10& M^1L^2T^{-2}& Work/energy/torque\\\cline{1-3}11& M^1L^2T^{-2}k^{-1}& Thermal capacity/gas constant\cline{1-3}\cline{1-3}\end{tabular}$