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प्रश्न
An electron moving along the positive X axis with a velocity of 8 × 107 ms−1 enters a region having a uniform magnetic field B = 1.3 × 10−3 T along the positive Y axis.
- Explain why the electron describes a circular path.
- Calculate the radius of the circular path described by the electron.
स्पष्ट करा
संख्यात्मक
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उत्तर
a. Because the force exerted by the magnetic field is always perpendicular to the velocity of the electron. Hence, it provides the necessary centripetal force and the electron describes a circular path.
b. Magnetic force = Centripetal force
evB = `"mv"^2/r`
⇒ `e/m = v/(Br)`
`(1.6 xx 10^(-19))/(9.1 xx 10^(-31)) = (8 xx 10^7)/(1.3 xx 10^(-3) xx r)`
∴ r = 0.35 m
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