A particle having the same charge as of electron moves in a circular path of radius 0.5 c m under the influence of a magnetic field of 0.5 T . If an electric field of 100 V/m makes it to move in a straight path, then the mass of the particle is (Given charge of electron = 1.6 × 10 - 19 C )

Step-by-step solution

Force to due to magnetic field F = e v B = m v 2 R with electric field also, net force is zero. ∴ e E = e v B ⇒ E = v B E = e B R m .   B ⇒ m = e B 2 R E = 1.6 × 10 - 19 × 0.5 2   .   0.5 × 10 - 2 100   k g = 2.0 × 10 - 24   k g