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A charged particle moving in a magnetic field `vec(B) = hat(i) - hat(j)` tesla, has an acceleration of `2 hat(i) + alpha hat(j)` at some instant. Find the value of `alpha` |
Answer» `vec(F) = q (vec(v) xx vec(B))` `vec(a) = (q)/(m) (vec(v) xx vec(B))` `rArr vec(a) bot vec(B)` Thus `vec(a).vec(B) = 0` `rArr (2 hat(i) + alpha hat(j)).(hat(i) - hat(j)) = 0` `rArr 2 - alpha = 0` `rArr alpha = 2` |
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