A stream of positively charged particles having q/m = 2 × 10¹¹ C/kg and velocity v₀ = 3 × 10⁷ m/s along +x direction is deflected by an electric field of magnitude 1.8 kV/m along +y direction. The electric field exists in a region of 10 cm along x direction. Due to the electric field, the deflection of the charged particles in the y direction i s _____ mm.
Physics · Electrostatics · Electric field intensity
JEE Mains 2023 24 jan morning shift

Question

A stream of positively charged particles having q/m = 2 × 10¹¹ C/kg and velocity v₀ = 3 × 10⁷ m/s along +x direction is deflected by an electric field of magnitude 1.8 kV/m along +y direction. The electric field exists in a region of 10 cm along x direction. Due to the electric field, the deflection of the charged particles in the y direction i s _____ mm.

Physics · Electrostatics · Electric field intensity

JEE Mains 2023 24 jan morning shift

G1 Physics · Accepted Answer

Acceleration along y is a = (q/m)E = (2 × 10¹¹)(1.8 × 10³) = 3.6 × 10¹⁴ m s⁻². Time spent in the field region is t = 0.10/(3 × 10⁷) s. Therefore y = (1/2)at² = 0.002 m = 2 mm.