A charged particle of mass 1 µg and charge 1µC having speed 2m/s moves in a magnetic field 1𝐾̂ Tesla. At a certain instant its velocity is 𝑣̄ = î + ĵ + mk̂. The value of ‘m’ is :
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Question

A charged particle of mass 1 µg and charge 1µC having speed 2m/s moves in a magnetic field 1𝐾̂ Tesla. At a certain instant its velocity is 𝑣̄ = î + ĵ + mk̂. The value of ‘m’ is :

G1 Physics · Accepted Answer

Speed gives 1²+1²+m²=2², so m²=2 and m=√2. Hence A.