A proton, a deuteron (nucleus of ₁ H ^2 ) and an -particle with same kinetic energy enter a region of uniform magnetic field moving at right angles to the field. The ratio of the radii of their circular paths is :

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Correct answer: B. 1: 2 : 1

r= m v q B = 2 m K q B r (m)^ 1 / 2 q r_p= (m_p )^ 1 / 2 q_p , r_d= (m_d )^ 1 / 2 q_d and r_ = (m_ )^ 1 / 2 q_ r_p: r_d: r_ = m q : 2 m q : 4 m 2 q =1: 2 : 1

A proton, a deuteron (nucleus of ₁ H ^2 ) and an -particle with same kinetic energy enter a region of uniform magnetic field moving at right angles to the field. The ratio of the radii of their circular paths is :

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