NEET 2010 Physics Paper: AIPMT, Mains

A condenser of capacity C is charged to a potential difference of V1. The plates of th condenser are then connected to an ideal inductor of inductance L. The current through the inductor when the potential difference across the condenser reduces to V2 is

Two parallel metal plates having charges +Q and $-$Q face each other at a certain distance between them. If the plates are now dipped in kerosene oil tank, the electric field between the plates will

The thermo e.m.f. $E$ in volts of a certain thermo-couple is found to vary with temperature difference $\theta$ in °C between the two junctions according to the relation

$E = 30\theta - \frac{\theta^2}{15}$

The neutral temperature for the thermo-couple will be

The electron in the hydrogen atom jumps from excited state (n = 3) to its ground state (n = 1) and the photons thus emitted irradiate a photosensitive material. If the work function of the material is 5.1 eV, the stopping potential is estimated to be (the energy of the electron in nth state En = $\frac{-13.6}{n^2}\text{ eV}$)

When monochromatic radiation of intensity $I$ falls on a metal surface, the number of photoelectrons and their maximum kinetic energy are N and T respectively. If the intensity of radiation is 2$I$, the number of emitted electrons and their maximum kinetic energy are respectively

The electric field of an electromagnetic wave in free space is given by $\vec{E} = 10\cos(10^{7}t + kx)\hat{j}\text{ V/m},$ where t and x are in seconds and metres respectively. It can be inferred that

(1) the wavelength $\lambda$ is 188.4 m.

(2) the wave number k is 0.33 rad/m.

(3) the wave amplitude is 10 V/m.

(4) the wave is propagating along +x direction.

Which one of the following pairs of statements is correct?

The electric field at a distance $\frac{3R}{2}$ from the centre of a charged conducting spherical shell of radius R is E. The electric field at a distance $\frac{R}{2}$ from the centre of the sphere is

The dependence of acceleration due to gravity g on the distance r from the centre of the earth, assumed to be a sphere of radius R of uniform density is as shown in figures below

The correct figure is

(1) Centre of gravity (C.G) of a body is the point at which the weight of the body acts (2) Centre of mass coincides with the centre of gravity if the earth is assumed to have infinitely large radius.

(3) To evaluate the gravitational field intensity due to any body at an external point, the entire mass of the body can be considered to be concentrated at its C.G.

(4) The radius of gyration of any body rotating about an axis is the length of the perpendicular dropped from the C.G. of the body to the axis.

Which one of the following pairs of statements is correct?

The additional kinetic energy to be provided to a satellite of mass m revolving around a planet of mass M, to transfer it from a circular orbit of radius R1 to another of radius R2(R2 > R1) is

Two identical bar magnets are fixed with their centers at a distance d apart. A stationary charge Q is placed at P in between the gap of the two magnets at a distance D from the centre O as shown in the figure

The force on the charge Q is

The magnetic moment of a diamagnetic atom is

A current loop consists of two identical semicircular parts each of radius R, one lying in the x-y plane and the other in x-z plane. If the current in the loop is $i$. The resultant magnetic field due to the two semicircular parts at their common centre is

A closely wound solenoid of 2000 turns and area of cross-section 1.5 $\times$ 10$-$4 m2 carries a current of 2.0 A. It is suspended through its centre and perpendicular to its length, allowing it to turn in a horizontal plane in a uniform magnetic field 5 $\times$ 10 $-$2 tesla making an angle of 30° with the axis of the solenoid. The torque on the solenoid will be

A particle having a mass of 10$-$2 kg carries a charge of 5 $\times$ 10$-$8 C. The particle is given an initial horizontal velocity of 105 m s${}^{-1}$ in the presence of electric field $\vec{E}$ and magnetic field $\vec{B}$. To keep the particle moving in a horizontal direction, it is necessary that

(1) $\vec{B}$should be perpendicular to the direction of velocity and $\vec{E}$should be along the direction of velocity

(2) Both $\vec{B}$ and $\vec{E}$ should be along the direction of velocity

(3) Both $\vec{B}$ and $\vec{E}$ are mutually perpendicular and perpendicular to the direction of velocity. (4) $\vec{B}$should be along the direction of velocity and $\vec{E}$ should be perpendicular to the direction of velocity

Which one of the following pairs of statements is possible?

The decay constant of a radio isotope is $\lambda$. If A1 and A2 are its activities at times t1 and t2 respectively, the number of nuclei which have decayed during the time (t1 $-$ t2)

The binding energy per nucleon in deuterium and helium nuclei are 1.1 MeV and 7.0 MeV, respectively. When two deuterium nuclei fuse to form a helium nucleus the energy released in the fusion is

A particle moves in x-y plane according to rule x = asin$\omega$t and y = acos$\omega$t. The particle follows

The speed of a projectile at its maximum height is half of its initial speed. The angle of projection is

A ray of light is incident on a 60° prism at the minimum deviation position. The angle of refraction at the first face (i.e., incident face) of the prism is

The speed of light in media M1 and M2 are 1.5 $\times$ 108 m/s and 2.0 $\times$ 108 m/s respectively. A ray of light enters from medium M1 to M2 at an incidence angle i. If the ray suffers total internal reflection, the value of i is

A thin circular ring of mass M and radius r is rotating about its axis with constant angular velocity $\omega$. Two objects each of mass m are attached gently to the opposite ends of a diameter of the ring. The ring now rotates with angular velocity given by

From a circular disc of radius R and mass 9M, a small disc of mass M and radius $\frac{R}{3}$ is removed concentrically. The moment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through its centre is

A solid cylinder and a hollow cylinder, both of the same mass and same external diameter are released from the same height at the same time on an inclined plane. Both roll down without slipping. Which one will reach the bottom first?

For transistor action

(1) Base, emitter and collector regions should have similar size and doping concentrations. (2) The base region must be very thin and lightly doped.

(3) The emitter-base junction is forward biased and base-collector junction is reverse biased. (4) Both the emitter-base junction as well as the base-collector junction are forward biased. Which one of the following pairs of statements is correct?

The following figure shows a logic gate circuit with two inputs A and B and the output Y. The voltage waveforms of A, B and Y are as given.

The logic gate is

If cp and cv denote the specific heats (per unit mass of an ideal gas of molecular weight M, then

A monatomic gas at pressure P1 and volume V1 is compressed adiabatically to ${\frac{1}{8}}^{\text{th}}$ of its original volume. What is the final pressure of the gas?

A student measures the distance traversed in free fall of a body, initially at rest, in a given time. He uses this data to estimate g, the acceleration due to gravity. If the maximum percentage errors in measurement of the distance and the time are e1 and e2 respectively, the percentage error in the estimation of g is

A particle of mass M, starting from rest, undergoes uniform acceleration. If the speed acquired in time T is V, the power delivered to the particle is