A uniform magnetic field $\vec B = \left( {3\hat i + 4\hat j + \hat k} \right)$ exists in region of space. A semicircular wire of radius $1\,m$ carrying current $1\,A$ having its centre at $(2, 2, 0)$ is placed in $x-y$ plane as shown in figure. The force on semicircular wire will be
  • A$\sqrt 2 \left( {\hat i + \hat j + \hat k} \right)$
  • B$\sqrt 2 \left( {\hat i - \hat j + \hat k} \right)$
  • C$\sqrt 2 \left( {\hat i + \hat j - \hat k} \right)$
  • D$\sqrt 2 \left( {-\hat i + \hat j + \hat k} \right)$
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