An ion with charge of q = +3.2 x 10-19 c is in a region where a uniform electric field of magnitude e = 5.0 x 105 v/m is perpendicular to a uniform magnetic field b = 0.80 t. if the ion's acceleration is zero then what is its speed v? a) v = 1.6 x 10-5 m/s b) v = 4.0 x 105 m/s c) v = 6.3 x 10 m/s d) v = 0 m/s

speed is 6.3 × 10^5 m/s

Explanation:

given data

charge Q = +3.2 x 10^-19 C

uniform electric field E = 5.0 x 10^5 V/m

uniform magnetic field B = 0.80 T

acceleration = 0

to find out

speed

solution

we know here that acceleration = 0

so that force on uniform electric field E and uniform magnetic field B on charge particle = 0

so here force of magnitude will be equal

so we can say that

q×E = q×v×B 1

so v= E / B

put here value

v = 5 ×10^5 / 0.80

v = 6.3 × 10^5

so speed is 6.3 × 10^5 m/s

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