A proton (mass m and charge `+e`) and an `alpha`-particle (mass `4` m and charge `+2e`) are projected with the same kinetic energy at right angles to the unifrom magnetic field. Which one of the following statements will be true?A. The alpha-particle will be bent in a circular path with a small radius that for the protonB. The radius of the path of the alpha-particle will be greater than that of the protonC. The alpha-particle and the proton will be bent in a circular path with the same radiusD. The alpha-particle and the proton will go through the field in a staight line

A proton (mass m and charge `+e`) and an `alpha`-particle (mass `4` m

1.	A proton (mass m and charge `+e`) and an `alpha`-particle (mass `4` m and charge `+2e`) are projected with the same kinetic energy at right angles to the unifrom magnetic field. Which one of the following statements will be true?A. The alpha-particle will be bent in a circular path with a small radius that for the protonB. The radius of the path of the alpha-particle will be greater than that of the protonC. The alpha-particle and the proton will be bent in a circular path with the same radiusD. The alpha-particle and the proton will go through the field in a staight line
Answer» Correct Answer - C `r=sqrt(2mk)/(qB) i.e rpropsqrt(m)/(q)` Here kinetic energy K and B are same. `:. (r_p)/(r_alpha)=sqrt(m_p)/sqrt(malpha).(q_alpha)/q_p=sqrt(m_p)/sqrt(4m_p).(2q_p)/(q_p)=1`

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