An α -particle and a proton are both simultaneously projected into a region of a constant magnetic field, perpendicular to the direction of the field but in opposite directions. After 10 - 8 s , it is found that the velocity of α -particle has changed in the direction by 45 ° . The angle between the velocity vectors of the α -particle and the proton is

Question

An α -particle and a proton are both simultaneously projected into a region of a constant magnetic field, perpendicular to the direction of the field but in opposite directions. After 10 - 8 s , it is found that the velocity of α -particle has changed in the direction by 45 ° . The angle between the velocity vectors of the α -particle and the proton is, 90 °, 45 °, 45 ° + 90 °, 45 ° + 90 ° 2

MARKS App · Accepted Answer

ω α = 2 e ⁡ B ⁡ 4 m ⁡ = 1 2 e ⁡ B ⁡ m ⁡ ω p ⁡ = e ⁡ B ⁡ m ⁡ θ α = 45 ° θ p ⁡ = 90 ° from their original directions So the total angle between the two particles is 45 ° + 90 ° .

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