(1)

Solid angle is the ratio of area to the square of perpendicular distance.

$\Omega =\frac{S}{r^2}=\frac{M^0{L}^2{T}^0}{M^0{L}^2{T}^0}=\left[M^0{L}^0{T}^0\right]$

Strain $=\frac{\Delta L}{L}=\frac{M^0{L}^1{T}^0}{M^0{L}^1{T}^0}=\left[M^0{L}^0{T}^0\right]$

Angle = $=\frac{\text{Arc}}{\text{Length}}=\frac{M^0{L}^1{T}^0}{M^0{L}^1{T}^0}=\left[M^0{L}^0{T}^0\right]$

(3)

Dimensions of magnetic flux $=\left[M{L}^2{T}^{-2}{A}^{-1}\right]$

Dimensions of self inductance $=\left[M{L}^2{T}^{-2}{A}^{-2}\right]$

Dimensions of magnetic permeability $=\left[ML{T}^{-2}{A}^{-2}\right]$

Dimensions of electrical permittivity $=\left[M^{-1}{L}^{-3}{T}^4{A}^2\right]$

So, the correct option is (3).

(1)

Plane angle and solid angle have supplementary units. Radian (rad) is the unit of plane angle and steradian (sr) is the unit of solid angle. Plane angle and solid angle are dimensionless quantities.

(2)

Dimensions of energy $\left[E\right]=\left[M{L}^2{T}^{-2}\right]$

Dimensions of gravitational constant $\left[G\right]=\left[M^{-1}{L}^3{T}^{-2}\right]$

So, the dimensions of $\left[\frac{E}{G}\right]=\frac{\left[M{L}^2{T}^{-2}\right]}{\left[M^{-1}{L}^3{T}^{-2}\right]}=\left[M^2{L}^{-1}{T}^0\right]=\left[M^2\right]\left[L^{-1}\right]\left[T^0\right]$