In a certain region static electric and magnetic fields exist. The magnetic field is given by $\vec B = {B_0}\left( {\hat i + 2\hat j - 4\hat k} \right)$. If a test charge moving with a velocity $\vec v = {v_0}\left( {3\hat i - \hat j + 2\hat k} \right)$ experiences no force in that region, then the electric field in the region, in $SI\, units$, is
In a certain region static electric and magnetic fields exist. The magnetic field is given by $\vec B = {B_0}\left( {\hat i + 2\hat j - 4\hat k} \right)$. If a test charge moving with a velocity $\vec v = {v_0}\left( {3\hat i - \hat j + 2\hat k} \right)$ experiences no force in that region, then the electric field in the region, in $SI\, units$, is
- [JEE MAIN 2017]
- A
$\vec E = - {v_0}{B_0}\left( {3\hat i - 2\hat j - 4\hat k} \right)$
- B
$\vec E = - {v_0}{B_0}\left( {\hat i + \hat j + 7\hat k} \right)$
- C
$\vec E = {v_0}{B_0}\left( {14\hat j + 7\hat k} \right)$
- D
$\vec E = - {v_0}{B_0}\left( {14\hat j + 7\hat k} \right)$
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