A cosmic-ray electron moves at 7. 5 × 10^6 m/s perpendicular to earth’s magnetic field at an altitude where the field strength is 1. 0 × 10^-5t. What is the radius of the circular path the electron follows?.



Answer :

4.266 m is the radius of the circular path the electron follows

Electron's speed = 7.50 × 10⁶ m/s

Magnetic field, B = 1 × 10⁻⁵ T

Electron's mass. m = 9.11 × 10⁻³¹

Charge of electron, q = 1.6 × 10⁻¹⁹

We know the relation of radius of curvature, = 4.266 m

What is a circle's radius of curvature?

Every point on a circle has a curvature that is equal to the reciprocal of the radius; for other curves (and straight lines, which can be thought of as circles of infinite radius), the curvature is equal to the reciprocal of the radius of the circle that at that point most closely approximates the curve.

The curvature's reciprocal, R, is the radius of curvature in differential geometry. It is equal to the radius of the circular arc that, at that moment, most closely resembles the curve for a curve. The radius of curvature for surfaces is the diameter of a circle that, individually or in combination, best fits a normal section.

Learn more about radius of curvature refer

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