NEET 1995 Physics Paper: AIPMT

In an A.C. circuit, the current flowing is $I = 5\sin(100t - \pi/2)$ ampere and the potential difference is $V = 200\sin(100t)$ volts. The power consumption is equal to

When a hydrogen atom is raised from the ground state to an excited state,

The figure indicates the energy level diagram of an atom and the origin of six spectral lines in emission (e.g. line no. 5 arises from the transition from level $B$ to $A$). Which of the following spectral lines will occur in the absorption spectrum?

The figure represents the observed intensity of X-rays emitted by an X-ray tube, as a function of wavelength. The sharp peaks $A$ and $B$ denote

An electron makes a transition from orbit $n = 4$ to the orbit $n = 2$ of a hydrogen atom. What is the wavelength of the emitted radiations? ($R$ = Rydberg's constant)

When the key $K$ is pressed at time $t=0$, then which of the following statement about the current $I$ in the resistor $AB$ of the given circuit is true?

A $4\ \mu\text{F}$ capacitor is charged to $400\text{ V}$. If its plates are joined through a resistance of $2\text{ k}\Omega$, then heat produced in the resistance is

Two wires of the same metal have same length, but their cross-sections are in the ratio $3 : 1$. They are joined in series. The resistance of thicker wire is $10\ \Omega$. The total resistance of the combination will be

In the network shown in the figure, each of the resistance is equal to $2\ \Omega$. The resistance between the points $A$ and $B$ is

A heating coil is labelled 100 W, 220 V. The coil is cut in half and the two pieces are joined in parallel to the same source. The energy now liberated per second is

In good conductors of electricity, the type of bonding that exists is

If we consider electrons and photons of same wavelength, then they will have same

An electron of mass $m$, when accelerated through a potential difference $V$, has de Broglie wavelength $\lambda$. The de Broglie wavelength associated with a proton of mass $M$ accelerated through the same potential difference, will be

A straight line conductor of length $0.4\text{ m}$ is moved with a speed of $7\text{ m/s}$ perpendicular to a magnetic field of intensity $0.9\text{ Wb/m}^{2}$. The induced e.m.f. across the conductor is

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

Two metallic spheres of radii $1\text{ cm}$ and $2\text{ cm}$ are given charges $10^{-2}\text{ C}$ and $5 \times 10^{-2}\text{ C}$ respectively. If they are connected by a conducting wire, the final charge on the smaller sphere is

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

The acceleration due to gravity $g$ and mean density of the earth $\rho$ are related by which of the following relations? (where $G$ is the gravitational constant and $R$ is the radius of the earth.)

The earth (mass $= 6 \times 10^{24}\text{ kg}$) revolves around the sun with an angular velocity of $2 \times 10^{-7}\text{ rad/s}$ in a circular orbit of radius $1.5 \times 10^{8}\text{ km}$. The force exerted by the sun on the earth, in newton, is

Two particles of equal mass go around a circle of radius $R$ under the action of their mutual gravitational attraction. The speed $v$ of each particle is

Heat is flowing through two cylindrical rods of the same material. The diameters of the rods are in the ratio $1 : 2$ and the lengths in the ratio $2 : 1$. If the temperature difference between the ends is same, then ratio of the rate of flow of heat through them will be

The work done in turning a magnet of magnetic moment $M$ by an angle of $90^\circ$ from the meridian, is $n$ times the corresponding work done to turn it through an angle of $60^\circ$. The value of $n$ is given by

The water drop falls at regular intervals from a tap 5 m above the ground. The third drop is leaving the tap at instant the first drop touches the ground. How far above the ground is the second drop at that instant?

The acceleration of a particle is increasing linearly with time $t$ as $bt$. The particle starts from origin with an initial velocity $v_0$. The distance travelled by the particle in time $t$ will be

The count rate of a Geiger Muller counter for the radiation of a radioactive material of half-life of 30 minutes decreases to 5 $\text{second}^{-1}$ after 2 hours. The initial count rate was

The binding energies per nucleon for a deuteron and an $\alpha$-particle are $x_{1}$ and $x_{2}$ respectively. The energy $Q$ released in the reaction

${}^{2}\text{H}_{1} + {}^{2}\text{H}_{1} \rightarrow {}^{4}\text{He}_{2} + Q,$

is

The mass number of He is 4 and that of sulphur is 32. The radius of sulphur nucleus is larger than that of helium by the factor of

What is the respective number of $\alpha$ and $\beta$ particles emitted in the following radioactive decay? ${}^{200}X_{90} \rightarrow {}^{168}Y_{80}$

In a simple harmonic motion, when the displacement is one-half the amplitude, what fraction of the total energy is kinetic?

A simple pendulum with a bob of mass $m$ oscillates from $A$ to $C$ and back to $A$ such that $PB$ is $H$. If the acceleration due to gravity is $g$, then the velocity of the bob as it passes through $B$ is

The position vector of a particle is $\vec{r} = (a \cos \omega t)\hat{i} + (a \sin \omega t)\hat{j}$. The velocity of the particle is

Exposure time of camera lens at $f/2.8$ setting is $\frac{1}{200}$ second. The correct time of exposure at $f/5.6$ is

A lens is placed between a source of light and a wall. It forms images of area $A_1$ and $A_2$ on the wall, for its two different positions. The area of the source of light is

The $ABC$ is a triangular plate of uniform thickness. The sides are in the ratio shown in the figure. $I_{AB}, I_{BC}$ and $I_{CA}$ are the moments of inertia of the plate about $AB, BC$ and $CA$ respectively. Which one of the following relations is correct?

What is the torque of the force $\vec{F} = 2\hat{i}-3\hat{j}+4\hat{k}\text{ N}$ acting at the point $\vec{r} = 3\hat{i}+2\hat{j}+3\hat{k}\text{ m}$ about origin?

The following truth-table belongs to which one of the following four gates?

Distance between body centred atom and a corner atom in sodium ($a = 4.225$ Å) is

In the case of forward biasing of p-n junction, which one of the following figures correctly depicts the direction of flow of carriers?

An ideal Carnot engine, whose efficiency is 40%, receives heat at 500 K. If its efficiency is 50%, then the intake temperature for the same exhaust temperature is

Percentage errors in the measurement of mass and speed are 2% and 3% respectively. The error in the estimate of kinetic energy obtained by measuring mass and speed will be

Which of the following is a dimensional constant?

The dimensions of $RC$ is

A source of sound gives 5 beats per second, when sounded with another source of frequency $100\text{ second}^{-1}$. The second harmonic of the source, together with a source of frequency $205\text{ sec}^{-1}$ gives 5 beats per second. What is the frequency of the source?

The length of a sonometer wire $AB$ is $110\text{ cm}$. Where should the two bridges be placed from $A$ to divide the wire in 3 segments whose fundamental frequencies are in the ratio of $1:2:3$?

A hospital uses an ultrasonic scanner to locate tumours in a tissue. The operating frequency of the scanner is $4.2\text{ MHz}$. The speed of sound in a tissue is $1.7\text{ km/s}$. The wavelength of sound in the tissue is close to

In a Fresnel biprism experiment, the two positions of lens give separation between the slits as 16 cm and 9 cm respectively. What is the actual distance of separation?

A star, which is emitting radiation at a wavelength of 5000 Å, is approaching the earth with a velocity of $1.5 \times 10^{6}\text{ m/s}$. The change in wavelength of the radiation as received on the earth is

The potential energy between two atoms, in a molecule, is given by $U(x) = \frac{a}{x^{12}} - \frac{b}{x^6}$ where $a$ and $b$ are positive constants and $x$ is the distance between the atoms. The atom is in stable equilibrium, when