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JEE Main 202315 AprilMorning Shift
Exam
JEE Main
Year
2023
Date
15 April
Shift
Morning Shift
Subject
Physics
Chapter
Magnetic Effects of Current

JEE Main 2023 · 15 April · Morning Shift · Physics · Magnetic Effects of Current

An electron in a hydrogen atom revolves around its nucleus with a...

An electron in a hydrogen atom revolves around its nucleus with a speed of 6.76×106ms–16 . 76 \times {10}^{6}m{s}^{– 1} in an orbit of radius 0.52A˚0 . 52Å. The magnetic field produced at the nucleus of the hydrogen atom is _______ TT.

Correct answer

0

Step-by-step solution

The magnetic field due to the electron is given by

B=μ0qvsin90°4πr2B = \dfrac{{\mu}_{0}qvsin90 °}{4\pi{r}^{2}}

The given data is

v=6.76×106ms−1r=0.52×10−10mv = 6 . 76 \times {10}^{6}m{s}^{- 1}r = 0 . 52 \times {10}^{- 10}m

Thus, the magnetic field is

B=10−7×(1.6××10−19)×(6.76×106)0.52×0.52×10−20=40TB = \dfrac{{10}^{- 7} \times \left(1 . 6 \times \times {10}^{- 19}\right) \times \left(6 . 76 \times {10}^{6}\right)}{0 . 52 \times 0 . 52 \times {10}^{- 20}} = 40T

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