JEE MAIN - Physics (2021 - 27th July Morning Shift - No. 21)
In Bohr's atomic model, the electron is assumed to revolve in a circular orbit of radius 0.5 $$\mathop A\limits^o $$. If the speed of electron is 2.2 $$\times$$ 166 m/s, then the current associated with the electron will be _____________ $$\times$$ 10$$-$$2 mA. [Take $$\pi$$ as $${{22} \over 7}$$]
Answer
112
Explanation
$$I = {e \over T} = {{e\omega } \over {2\pi }} = {{eV} \over {2\pi r}}$$
$$I = {{1.6 \times {{10}^{ - 19}} \times 2.2 \times {{10}^6} \times 7} \over {2 \times 22 \times 0.5 \times {{10}^{ - 10}}}}$$
= 1.12 mA
= 112 $$\times$$ 10$$-$$2 mA
$$I = {{1.6 \times {{10}^{ - 19}} \times 2.2 \times {{10}^6} \times 7} \over {2 \times 22 \times 0.5 \times {{10}^{ - 10}}}}$$
= 1.12 mA
= 112 $$\times$$ 10$$-$$2 mA
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