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The Circular Motion

A stream of d...

Question

A stream of deutrons is projected with a variety of $10^{4}$ $m s^{- 1}$ in XY-plane. A uniform magnetic field of induction $10^{- 3}$ T acts along the Z-axis. Find the radius of the circuit path of particle. (Mass of deuteron is $3.32 \times 10^{- 27}$ kg and charge of deuteron is $1.6 \times 10^{- 19}$ C).

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Solution

Radius of circular path $R = \frac{m v}{q B}$
Given: $v = 10^{4} m / s$ , $m = 3.32 \times 10^{27} k g$ , $q = 1.6 \times 10^{- 19} C$ and $B = 10^{- 3} T$
$∴ R = \frac{(3.32 \times 10^{- 27}) \times (10^{4})}{(1.6 \times 10^{- 19}) \times 10^{- 3}}$
$⟹ R = 0.2 m$

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