Dual Nature Of Light Question 113
Question: A proton, a deutron and an a-particle having the same momentum, enters a region of uniform electric field between the parallel plates of a capacitor. The electric field is perpendicular to the initial path of the particles. Then the ratio of deflections suffered by them is
Options:
A) 1 : 2 : 8
B) 1 : 2 : 4
C) 1 : 1 : 2
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
The deflection suffered by charged particle in an electric field is $ y=\frac{q,ELD}{m,u^{2}}=\frac{q,ELD}{p^{2}/m} $ (p =mu)
Þ $ y\propto \frac{qm}{p^{2}} $
Þ yp : yd : ya $ =\frac{q_{p}m_{p}}{p_{p}^{2}}:\frac{q_{d}m_{d}}{p_{d}^{2}}:\frac{{q_{\alpha }}{m_{\alpha }}}{p_{\alpha }^{2}} $ Since pa = pd = pp (given) mp : md : ma = 1 : 2 : 4 and qp : qd : qa = 1 : 1 : 2
Þ yp : yd : ya = 1 ´1 : 1 ´ 2 : 2 ´ 4 = 1 : 2 : 8
BETA
