AIEEE EXAMINATION PAPER
PART B – PHYSICS
Q.1.A body of mass m = 3.513 kg is moving along the x- axis with a speed of 5.00 ms–1. The magnitude of its momentum is recorded asPART B – PHYSICS
- 17.565 kg ms–1
- 17.56 kg ms–1
- 17.57 kg ms–1
- 17.6 kg ms–1
Q.2.Consider a uniform square plate of side 'a' and mass 'm'. The moment of inertia of this plate about an axis perpendicular to its plane and passing through one of its corners is
- 1/12 ma2
- 7/12 ma2
- 2/3 ma2
- 5/6 ma2
Q.3.The speed of sound in oxygen (O2) at a certain temperature is 460 ms–1. The speed of sound in helium
(He) at the same temperature will be (assume both gases to be ideal)
- 500 ms–1
- 650 ms–1
- 330 ms–1
- 460 ms–1
Q.4. 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 0 ≤ r < ∞, where r is the distance from the centre of the shell?
Answer:- D
Q.5.Relative permittivity and permeability of a material are εr and μr, respectively. Which of the following values of these quantities are allowed for a diamagnetic material?
- εr = 1.5 , μr = 0.5
- εr = 0.5 , μr = 0.5
- εr = 1.5 , μr = 1.5
- εr = 0.5 , μr = 1.5
Q.6.Suppose an electron is attracted towards the origin by a force K/R where 'K' is a constant and 'R' is the distance of the electron from the origin. By applying Bohr model to this system, the radius of the nth orbital of the electron is found to be 'rn' and the kinetic energy of the electron to be 'Tn'. Then which of the following is true?
- Tn independent of n, Rn ∝ n
- Tn ∝1/n,Rn ∝ n
- Tn ∝1/n,Rn∝ n2
- Tn ∝1/n2,Rn∝ n2
Q.7.A block of mass 0.50 kg is moving with a speed of 2.00 ms–1 on a smooth surface. It strikes another mass of 1.00 kg and then they move together as a single body. The energy loss during the collision is
- 1.00 J
- 0.67 J
- 0.34 J
- 0.16 J
Q.8.A wave traveling along the x- axis is described by the equation y(x,t) = 0.005 cos (αx –βt). If the wavelength and the time period of the wave are 0.08 m and 2.0 s, respectively, then α and β in appropriate units are
- α =0.08/ π, β =2.0/π
- α =0.04/ π, β =1.0/π
- α =12.5 π, β =π/2.0
- α =25.00π, β =π
Q.9.A working transistor with its three legs marked P, Q and R is tested using a multimeter. No conduction is found between P and Q. By connecting the common (negative) terminal of the multimeter to R and the other (positive) terminal to P or Q, some resistance is seen on the multimeter. Which of following is true for the transistor ?
- It is a pnp transistor with R as collector
- It is a pnp transistor with R as emitter
- It is an npn transistor with R as collector
- It is an npn transistor with R as base
Q.10.A jar is filled with two non-mixing liquids 1 and 2 having densities ρ1 and ρ2, respectively. A solid ball, made of a material of density ρ3, is dropped in the jar. It comes to equilibrium in the position shown in the figure.Which of the following is true for ρ1, ρ2 and ρ3 ?
- ρ1 > ρ3 > ρ2
- ρ1 < ρ2 < ρ3
- ρ1 < ρ3 < ρ2
- ρ3 < ρ1 < ρ2
Q.11.An athlete in the olympic games covers a distance of 100 m in 10 s. His kinetic energy can be estimated to be in the range
- 2 × 105 J – 3 × 105 J
- 20,000 J – 50,000 J
- 2,000 J – 5,000 J
- 200 J – 500 J
Q.12.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 dielectrics has dielectric constant k1 = 3 and thickness d/3 while the other one has dielectric constant k2 = 6 and thickness 2d/3Capacitance of the capacitor is now
- 45 pF
- 40.5 pF
- 20.25 pF
- 1.8 pF
Q.13.The dimension of magnetic field in M, L, T and C (Coulomb) is given as
- MT^2C^–2
- MT^–1C^–1
- MT^–2C^–1
- MLT^–1C^–1
Q.14.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 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' ?
Answer:-1
Q.15.In the circuit below, A and B represent two inputs and C represents the output
The circuit represents- AND gate
- NAND gate
- OR gate
- NOR gate
Q.16..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
- x > 54
- 54 > x > 36
- 36 > x > 18
- 18 > x
Q.17.Shown in the figure below is a meter-bridge set up with null deflection in the galvanometer.
The value of the unknown resistor R is- 220 Ω
- 110 Ω
- 55 Ω
- 13.75 Ω
Q.18..A spherical solid ball of volume V is made of a material of density ρ1. It is falling through a liquid of density ρ2 (ρ2 < ρ1). Assume that the liquid applies a viscous force on the ball that is proportional to the square of its speed υ, i.e., Fviscous = – kυ^2 (k > 0). The terminal speed of the ball is
- Vgρ1/k
- (Vgρ1/k)^1/2
- Vg(ρ1 − ρ2 )/k
- [Vg(ρ1 − ρ2 )]^1/2
Q.19.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 as k [X/L]^n, where n can be zero or any positive number. If the position xCM of the centre of mass of the rod is plotted against 'n', which of the following graphs best approximates the dependence of xCM on n ?
Answer:-4
Q.20.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
- 11 km s–1
- 110 km s–1
- 0.11 km s–1
- 1.1 km s–1
Answer: 4
Q.22. Two full turns of the circular scale of a screw gauge cover a distance of 1 mm on its main scale. The total number of divisions on the circular scale is 50. Further, it is found that the screw gauge has a zero error of – 0.03 mm. While measuring the diameter of a thin wire, a student notes the main scale reading of 3 mm
and the number of circular scale divisions in line with the main scale as 35. The diameter of the wire is -
- 3.73 mm
- 3.67 mm
- 3.38 mm
- 3.32 mm
Q.23.A horizontal overhead powerline is at a height of 4 m from the ground and carries a current of 100 A from east to west. The magnetic field directly below it on the ground is (μ0 = 4π × 10–7 T mA–1)
- 5 × 10–6 T northward
- 5 × 10–6 T southward
- 2.5 ×10–7 T northward
- 2.5 × 10–7 T southward
Q.24.An experiment is performed to find the refractive index of glass using a travelling microscope. In this experiment distances are measured by -
- a standard laboratory scale
- a meter scale provided on the microscope
- a screw gauge provided on the microscope
- a vernier scale provided on the microscope
Q.25.A 5 V battery with internal resistance 2 Ω and a 2V battery with internal resistance 1Ω are connected to a 10Ω resistor as shown in the figure.
The current in the 10 Ω resistor is -- 0.03 A P1 to P2
- 0.03 A P2 to P1
- 0.27 A P1 to P2
- 0.27 A P2 to P1
A = 10 cm2 and length = 20 cm. If one of the solenoids has 300 turns and the other 400 turns, their mutual
inductance is (μ0 = 4π × 10–7 T m A–1)
- 4.8 π × 10–4 H
- 4.8 π × 10–5 H
- 2.4 π × 10–4 H
- 2.4 π × 10–5 H
Answer:-2
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