two identical charged particles moving with same speed enter a region of uniform magnetic field. if one of these enters normal to the feild direction and the other along a direction at 30'c with the field , what would be the ratio of their angular frequencies?
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As you know,
ω = QB/m
where ω is angular frequency,
Q is charge on body,
B is magnetic field,
m is mass of moving body,
here you can see that angular frequency independence upon angle between moving object to magnetic field.
now, question said, objects are identical so, charge on bodies are same, mass of bodies are also same. and both entered in the same magnetic field.
so, ω₁/ω₂ = {QB/m}/{QB/m} = 1/1
⇒ ω₁ : ω₂ = 1 : 1
ω = QB/m
where ω is angular frequency,
Q is charge on body,
B is magnetic field,
m is mass of moving body,
here you can see that angular frequency independence upon angle between moving object to magnetic field.
now, question said, objects are identical so, charge on bodies are same, mass of bodies are also same. and both entered in the same magnetic field.
so, ω₁/ω₂ = {QB/m}/{QB/m} = 1/1
⇒ ω₁ : ω₂ = 1 : 1
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