All India Engineering / Architecture Entrance Examination (AIEEE)

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AIEEE 2008 Physics

Q. 24. In the circuit shown, A and B represent two inputs and C represents the output. The circuit represents

1. NAND gate
2. OR gate
3. NOR gate
4. AND gate

Sol: Correct answer (2)

Q. 25. A thin spherical shell of radius R has charge Q spread uniformly over its surface. Which of the following graphs most closely represents the electric field E(r) produced by the shell in the range , where r is the distance from the centre of the shell?

Sol: In this case, electric field inside the shell is zero and is inversely proportional to r², where r is the distance of a point outside the shell.

Correct answer (3)

Q. 26. A body is at rest at x = 0. At t = 0, it starts moving in the positive x-direction with a constant acceleration. At the same instant another body passes through x = 0 moving in the positive x direction with a constant speed. The position of the first body is given by x₁(t) after time t and that of the second body by x₂(t) after the same time interval. Which of the following graphs correctly describes (x₁ -x₂) as a function of time t?

Sol:

Q. 27. Relative permittivity and permeability of a material are respectively. Which of the following values of these quantifies are allowed for a diamagnetic material?

Sol:

Q. 28. A planet in a distant solar system is 10 times more massive than the earth and its radius is 10 times smaller. Given that the escape velocity from the earth is 11 km s^-1, the escape velocity from the surface of the planet would be

1. 110 km s^-1
2. 0.11 km s^-1
3. 1.1 km s^-1
4. 11 km s^-1

Sol :

Q. 29. A thin rod of length 'L' is lying along the x-axis with its ends at x = 0 and x = L. Its linear density (mass/length) varies with x where 'n' can be zero or any positive number. If the position x_CMof the centre of mass of the rod is plotted against 'n', which of the following graphs best approximates the dependence of xCM on n?

Sol:

Q. 30. The dimension of magnetic field in M, L, T and C (Coulomb) is given as

1. MT^-1C^-1
2. MT^-2C^-1
3. MLT^-1C^-1
4. MT²C^-2

Sol:

Q. 31. A parallel plate capacitor with air between the plates has a capacitance of 9 pF. The separation between its plates is 'd'. The space between the plates is now filled with two dielectrics. One of the dielectric has dielectric constant K1 = 3 and thickness while the other one has dielectric constant . Capacitance of the capacitor is now.

1. 40.5 pF
2. 20.25 pF
3. 1.8 pF
4. 45 pF

Sol:

Q. 32. An athlete in the olympic games covers a distance of 100m in 10s. His kinetic energy can be estimated to be in the range.

1. 20,000 J - 50,000 J
2. 2,000 J - 5,000 J
3. 200 J - 500 J
4. 

Sol:

Q. 33. A spherical solid ball of volume V is made of a material of density . It is falling through a liquid of density. Assume that the liquid applies a viscous force on the ball that is proportional to the square of its speed . The terminal speed of the ball is.

Sol:

Q. 34. Shown in the figure is a meter-bridge set up with null deflection in the galvanometer. The value of the unknown resistor R is

Sol:

Q. 35. While measuring the speed of sound by performing a resonance column experiment, a student gets the first resonance condition at a column length of 18 cm during winter. Repeating the same experiment during summer, she measures the column length to be x cm for the second resonance. Then

1. 54 > x > 36
2. 36 > x > 18
3. 18 > x
4. x > 54

Sol: