When a charged particle moves at an angle of 19° with respect to a magnetic field, it experiences a magnetic force of magnitude F. At what angle (less than 90°) with respect to this field will this particle, moving at the same speed, experience a magnetic force of magnitude 2.4F?

F₁ =qvBsinα₁

F₂ =qvBsinα₂
F₂=2.4F₁
F₁/F₂=1/2.4 =qvBsinα₁/qvBsinα₂
sin α₂=2.4•sin α₁ =2.4•sin19⁰=0.78
α₂=51.4⁰