Magnetic field due to currentHard

Question

Conductor ABC consist of two quarter circular path of radius R lies in X-Y plane and carries current I as shown. A uniform magnetic field is switched on in the region that exert force = √2IRB0 on conductor ABC. can be
                                                  

Options

A.
B.
C.
D.Both (B) and (C).

Solution

⇒  I (R(- ĵ) ×) = √2IRB0
Possible values of ∴ = î and (î + ĵ) ⇒  I (R(- ĵ) ×) = √2IRB0
Possible values of ∴ = î and (î + ĵ)

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