The correct option is B 173.2
Given,
Electric field vector, →E=(^i+√2^j+√3^k)
For, xy-plane area vector is along ^k.
So, →A=100^k m2
So, for constant electric field, electric flux through the surface is given by ϕ=→E.→A ⇒ϕ=(^i+√2^j+√3^k).(100^k)
⇒ϕ=100√3
∴ϕ≈173.2
Hence, option (c) is the correct answer.