In a region of space a magnetic field B→=2i^ T exists. A particle carrying a charge Q=+1 μC is projected from the origin with velocity V→=(2i^+j^) x 106 m/s. If mass of the particle is 1 gm, then just after projection its acceleration is

F→=QV→ x B→=1 x 10-62i^+j^ x 106 x 2i^ N=-2k^ N∴a→=F→m=-2k^10-3 m/s2=-2000k^ m/s2

In a region of space a magnetic field B→=2i^ T exists. A particle carrying a charge Q=+1 μC is projected from the origin with velocity V→=(2i^+j^) x 106 m/s. If mass of the particle is 1 gm, then just after projection its acceleration is

F→=QV→ x B→=1 x 10-62i^+j^ x 106 x 2i^ N=-2k^ N∴a→=F→m=-2k^10-3 m/s2=-2000k^ m/s2

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In a region of space a magnetic field $\vec{B} = 2 \hat{i} T$ exists. A particle carrying a charge $Q = + 1 μC$ is projected from the origin with velocity $\vec{V} = (2 \hat{i} + \hat{j}) x 10^{6} m / s$ . If mass of the particle is 1 gm, then just after projection its acceleration is

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$- 2000 \hat{k} m / s^{2}$

$- 1500 \hat{i} m / s^{2}$

$+ 200 \hat{j} m / s^{2}$

$+ 500 \hat{i} m / s^{2}$

answer is A.

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$\vec{F} = Q (\vec{V} x \vec{B}) = 1 x 10^{- 6} [(2 \hat{i} + \hat{j}) x 10^{6} x (2 \hat{i})] N = - 2 \hat{k} N$

$∴ \vec{a} = \frac{\vec{F}}{m} = \frac{(- 2 \hat{k})}{10^{- 3}} m / s^{2} = - 2000 \hat{k} m / s^{2}$

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In a region of space a magnetic field B→=2i^ T exists. A particle carrying a charge Q=+1 μC is projected from the origin with velocity V→=(2i^+j^) x 106 m/s. If mass of the particle is 1 gm, then just after projection its acceleration is

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In a region of space a magnetic field $\vec{B} = 2 \hat{i} T$ exists. A particle carrying a charge $Q = + 1 μC$ is projected from the origin with velocity $\vec{V} = (2 \hat{i} + \hat{j}) x 10^{6} m / s$ . If mass of the particle is 1 gm, then just after projection its acceleration is