AIPMT (ES)

These questions are from past exams of

AIPMT (Screening)

 Q1) (AIPMT Screening 1988)

Point charges + 4q, - q and + 4q are kept on the x-axis at points x = 0, x = a and x = 2a, respectively. Then

(a) only –q is in stable equilibrium

(b) none of the charges is in equilibrium

(c) all the charges are in unstable equilibrium

(d) all the charges are in the stable equilibrium

 

Q2) (AIPMT Screening 1995)

A charge q is placed at the centre of the line joining two exactly equal positive charges Q. The system of three charges will be in equilibrium, if q is equal to

(a) – Q/4       (b) + Q

(c) – Q            (d) Q/2

 

Q3) (AIPMT Screening 2009)

Three capacitors each of capacitance C and of breakdown voltage V are joined in series. The capacitance and breakdown voltage of the combination will be

(a) C/3, V/3

(b) 3C, V/3

(c) C/3, 3V

(d) 3C, 3V

 
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Q4) (AIPMT Screening 1989)

A 4 µF conductor is charged to 400 V and then its plates are joined through a resistance of 1 kW. The heat produced in the resistance is

(a) 0.16 J        (b) 1.28 J

(c) 0.64 J       (d) 0.32 J

 

Q5) (AIPMT Screening 1990)

A pendulum bob of mass 30.7x10-6 kg and carrying a charge 2x10-8 C is at rest in a horizontal uniform electric field of  20000 V/m. The tension in the thread of the pendulum is (g = 9.8 m/s2)

(a) 3x104 N    (b) 4x10-4 N

(c) 5x10-4 N    (d) 6x10-4 N

 

Q6) (AIPMT Screening 1993) 

The dielectric strength of air at NTP is 3x106 V/m. The maximum charge that can be given to a spherical conductor of radius 3 m is

(a) 3x104 C     (b) 3x10-3 C

(c) 3x10-2 C    (d) 3x10-1 C

 
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Q7) (AIPMT Screening 1994)

A hollow metal sphere of radius 10 cm is charged such that the potential on its surface is 80 V. The potential at the centre of the sphere is

(a) zero          (b) 80 V

(c) 800 V       (d) 8 V

 

Q8) (AIPMT Screening 1999)

In bringing an electron towards another electron, the electrostatic potential energy of the system

(a) decreases

(b) increases

(c) remains same

(d) becomes zero

 

Q9) (AIPMT Screening 2001)

In a parallel plate capacitor, the distance between the plates is d and potential difference across plates is V. Energy stored per unit volume between the plates of capacitor is

(a) Q2/2V2

(b) ½ e0V2/d2

(c) ½ V2/e0d2

(d) ½ e0 V2/d2

 
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Q10) (AIPMT Screening 1995) 

There is an electric field E in x-direction. If the work done on moving a charge of 0.2 C through a distance of 2 m along a line making an angle 60º with x-axis is 4 J, then what is the value of E?

(a) 3 N/C        (b) 4 N/C

(c) 5 N/C        (d) 20 N/C

 

Q11) (AIPMT Screening 1998)

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) q E y2        (b) q E2 y

(c) q E y          (d) q2 E y

 

Q12) (AIPMT Screening 2004)

A bullet of mass 2g is having a charge of 2 µC. Through what potential difference must it be accelerated, starting from rest, to acquire a speed of 10 m/s?

(a) 5 kV          (b) 50 kV

(c) 5 V             (d) 50 V

 

 

Q13) (AIPMT Screening 2000)

A capacitor is charged by connecting a battery across its plates. It stores energy U. Now the battery is disconnected and another identical capacitor is connected across it, then the energy stored by both capacitors of the system will be

(a) U               (b) U/2

(c) 2U             (d) 3U/2

 
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Q14) (AIPMT Screening 2000)

A charged wire is bent in the form of a semi-circular arc of radius a. If charge per unit length is l coulomb/metre, the electric field at the centre O is

(a) l/2pa2e0

(b) l/4p2e0a

(c) l/2pe0a

(d) zero

 

Q15) (AIPMT Screening 2009)

The electric potential at a point (x, y, z) is given by

V =  - x2y – xz3 + 4

  The electric field at that point is

(a) E = (2xy + z3) i + x2 j + 3xz2 k

(b) E = (2xy) i + (x2 + y2) j + (3xz – y2) k

(c ) E = z3 i + xyz j + z2 k

(d) E = (2xy – z3) i + xy2 j + 3z2x k

 Solution: The solution is explained in this video. Click to watch it.

 

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