Question 1. The acceleration of an electron in an electric field of magnitude 50 V/cm, if e/m value of the electron is 1.76 x10¹¹ C/kg, is

(a) 8.8 x10¹⁴ m/sec²      (b) 6.2 x 10¹³ m/sec²
(c) 5.4 x 10¹² m/sec²      (d) Zero

Question 2. A particle of mass m and charge q is placed at rest in a uniform electric field E and then released. The kinetic energy attained by the particle after moving a distance y is

(a) qEy²                       (b) qE²y
(c) qEy                         (d) q²Ey

Question 3. Two point charges 20μ and 80μC are 10 cm apart. Where will the electric field strength be zero on the line joining the charges from 20μ charge

(a) 0.1 m                    (b) 0.04 m
(c) 0.033 m                (d) 0.33m

Question 4. An electron of mass m initially at rest moves through a certain distance in a uniform electric field in time t₁. A proton of mass m_p also initially at rest takes time t₂ to move through an equal distance in this uniform electric field. Neglecting the effect of gravity, the ratio t₂/t₁of is nearly equal to

(a) 1                            (b)(m_p/m_e)^1/2
(c)  (m_e/m_p)^1/2           (d) 1836

Question 5. Equal charges q are placed at the vertices A and B of an equilateral triangle ABC of side a. The magnitude of electric field at the point C is
(a) q/4Πε₀a²                (b)√2q/4Πε₀a²
(c)√3q/4Πε₀a²             (d) q/2Πε₀a²

Question 6. Deutron and α-particle are put 1Å apart in air. Magnitude of intensity of electric field due to deutron at α-particle is

(a) Zero
(b) 2.88 x10¹¹ newton/coulomb
(c) 1.44 x10¹¹ newton/coulomb
(d) 5.76 x10¹¹ newton/coulomb

Question 7. The magnitude of electric field intensity E is such that, an electron placed in it would experience an electrical force equal to its weight is given by

(a)mge             (b) mg/e
(c)e/mg             (d)e²/m².g

Question 8. Two equal negative charge - q are fixed at the fixed points (0, a) and (0, -a) on the Y-axis. A positive charge Q is released from rest at the point (2a, 0) on the X-axis. The charge Q will

(a) Execute simple harmonic motion about the origin
(b) Move to the origin and remain at rest
(c) Move to infinity
(d) Execute oscillatory but not simple harmonic motion

Question 9. The charge on 500cc of water due to protons will be

(a) 6.0x 10²⁷ C              (b)2.67 x 10⁷C
(c) 6x10²³C                   (d) 1.67 x 10²³C

Question 10. A small sphere carrying a charge ‘q' is hanging in between two parallel plates by a string of length L. Time period of pendulum is T₀. When parallel plates are charged, the time period changes to T. The ratio T/T₀ is equal to