An α - particle and a proton are accelerated through same potential d

1.	An α - particle and a proton are accelerated through same potential difference. Find the ratio (vα/ vp) of velocities acquired by two particles.
Answer» Gain in KE of particle = Qv (1/2)m_pv²_p = Kp = q_pV_p .....(1) Vp = V∝ = V (1/2)m_∝v²_∝ = K_∝ = q∝V∝ .....(2) (2)/(1) m_∝v²_∝)/ m_pv²_p = q_∝/q_p = 2/1 v²_∝/ v²_p = (m_p x 2)/ (m_∝ x 1) = (2m_p)/ (4m_p x 1) = 1/2 V∝ : Vp = 1: √2

An α - particle and a proton are accelerated through same potential difference. Find the ratio (vα/ vp) of velocities acquired by two particles.

Answer»

Gain in KE of particle = Qv

(1/2)m_pv²_p = Kp = q_pV_p .....(1)

Vp = V∝ = V

(1/2)m_∝v²_∝ = K_∝ = q∝V∝ .....(2)

(2)/(1)

m_∝v²_∝)/ m_pv²_p = q_∝/q_p = 2/1

v²_∝/ v²_p = (m_p x 2)/ (m_∝ x 1) = (2m_p)/ (4m_p x 1) = 1/2

V∝ : Vp = 1: √2

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An α - particle and a proton are accelerated through same potential difference. Find the ratio (vα/ vp) of velocities acquired by two particles.

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