JEE PYQ: Magnetic Effects Of Current Question 10
Question 10 - 2020 (02 Sep 2020 Shift 1)
A beam of protons with speed $4 \times 10^5$ m s$^{-1}$ enters a uniform magnetic field of $0.3$ T at an angle of $60°$ to the magnetic field. The pitch of the resulting helical path of protons is close to: (Mass of the proton $= 1.67 \times 10^{-27}$ kg, charge of the proton $= 1.69 \times 10^{-19}$ C)
(1) $2$ cm
(2) $5$ cm
(3) $12$ cm
(4) $4$ cm
Show Answer
Answer: (4) $4$ cm
Solution
Pitch $= (v \cos \theta) T = v \cos 60° \times \frac{2\pi m}{qB} \approx 4$ cm.
BETA
