Answer:
r = 7.8 × 10 ⁻⁴ m
Explanation:
Given: Electric field E = 7.7 x 10^3 V/m, Magnetic field = 7.5 x 10^-3 T
as |E| = |V| x |B|
⇒ |V| = 7.7 x 10^3 V/m / 7.5 x 10^-3 T = 1.03×10⁶ m/s
Formula for this question is F = qE + qVB
⇒ F = q VB, ( as Electric component is zero)
the acceleration a = v²/r and also a = F/m ( r=radius of curvature) so
so qVB/m = v²/r
⇒ r = mV/qB
r= (9.11 × 10 ⁻³¹ kg x 1.03×10⁶ m/s) / (1.6 × 10 ⁻¹⁹ C x 7.5 x 10⁻³ T)
r = 7.8 × 10 ⁻⁴ m
