A proton and deuteron having equal momentum enter into uniform magnetic field at right angle to the direction of field find the ratio of their radius
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Formula of radius , when charged particle enters into uniform magnetic field with right angle is r = P/QB ,
Here, P is the momentum , Q is charge on particle and B is the unform magnetic field .
Now, we know, charge on proton = 1e { e = 1.6 × 10⁻¹⁹C }
∴ Radius of proton's path , R₁ = P/(1e)B
charge on deutron = 1e
∴ radius of deutron's path ,R₂ = P/(1e)B
So, R₁/R₂ = {P/(1e)B}/{P/(1e)B}=1
Here, P is the momentum , Q is charge on particle and B is the unform magnetic field .
Now, we know, charge on proton = 1e { e = 1.6 × 10⁻¹⁹C }
∴ Radius of proton's path , R₁ = P/(1e)B
charge on deutron = 1e
∴ radius of deutron's path ,R₂ = P/(1e)B
So, R₁/R₂ = {P/(1e)B}/{P/(1e)B}=1
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