The two principal thrusts in physics are

The dimensions of pressure are equal to

Match List $I$ with List $II$ :

List $I$ (Physical Quantity)	List $II$ (Dimensional Formula)
$(A)$ Pressure gradient	$(I)$ $[M^0 L^2 T^{-2}]$
$(B)$ Energy density	$(II)$ $[M^1 L^{-1} T^{-2}]$
$(C)$ Electric Field	$(III)$ $[M^1 L^{-2} T^{-2}]$
$(D)$ Latent heat	$(IV)$ $[M^1 L^1 T^{-3} A^{-1}]$

Choose the correct answer from the options given below:

Match the following physical quantities with their respective dimensional formulas:

$(A)$ Thermal conductivity	$(i)$ $MLT^{-3}K^{-1}$
$(B)$ Boltzmann constant	(ii) $M^0L^2T^{-2}K^{-1}$
$(C)$ Latent heat	(iii) $ML^2T^{-2}K^{-1}$
$(D)$ Specific heat	(iv) $M^0L^2T^{-2}$

Identify the physical parameters from the list given below that have the same dimensions:
$(i)$ Magnetic field $(B)$
$(ii)$ Energy density $(u)$
$(iii)$ Refractive index $(\mu)$
$(iv)$ Young's modulus $(Y)$
$(v)$ Dielectric constant $(K)$

It is estimated that each $cm^2$ of Earth receives about $2 \text{ calorie}$ of heat energy per minute from the Sun. This is called the solar constant. The value of the solar constant in $S.I.$ units is: