A proton and an alpha particle both enter a region of uniform magnetic field, B, moving at
right angles to the field B. If the radius of circular orbits for both the particles is equal and the
kinetic energy acquired by proton is 1MeV, the energy acquired by the alpha particle will be

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

1.5 MeV

4 MeV

0.5 MeV

1 MeV

answer is A.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

$R = \frac{mv}{q_{B}} = \frac{\sqrt{2mK}}{q_{B}} ∵ R_{α} = R_{p} ∴ \frac{4 m_{α} k_{a}}{q_{α}^{2} B^{2}} = \frac{{4m}_{p} K_{p}}{q_{p}^{2} B^{2}} = \frac{4 m_{p} k_{α}}{4 e^{2}} = \frac{m_{p} (1MeV)}{e^{2}} \Rightarrow K_{α} = 1 MeV$

Watch 3-min video & get full concept clarity

tricks from toppers of Infinity Learn

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

🔥 Start Your JEE/NEET Prep at Just ₹1999 / month - Limited Offer! Check Now!

Get Expert Academic Guidance – Connect with a Counselor Today!