NEET 1994 Physics Paper: AIPMT

In an A.C. circuit, $I_{\text{rms}}$ and $I_0$ are related as

Two cables of copper are of equal lengths. One of them has a single wire of area of cross-section $A$, while other has 10 wires of cross-sectional area $A/10$ each. Give their suitability for transporting A.C. and D.C.

A series $L\text{-}C\text{-}R$ circuit is connected to a source of A.C. current. At resonance, the phase difference between the applied voltage and the current in the circuit, is

Six resistors of $3\ \Omega$ each are connected along the sides of a hexagon and three resistors of $6\ \Omega$ each are connected along $AC, AD$ and $AE$ as shown in the figure. The equivalent resistance between $A$ and $B$ is equal to

A flow of $10^{7}$ electrons per second in a conducting wire constitutes a current of

An electric bulb is rated 60 W, 220 V. The resistance of its filament is

A wire $50\text{ cm}$ long and $1\text{ mm}^{2}$ in cross-section carries a current of $4\text{ A}$ when connected to a $2\text{ V}$ battery. The resistivity of the wire is

Identify the set in which all the three materials are good conductors of electricity

The current $I$ in an A.C. circuit with inductance coil varies with time according to the graph given below.

Which one of the following graphs gives the variation of voltage with time?

Which of the following electromagnetic radiations have the smaller wavelength?

The electric and magnetic field of an electromagnetic wave are

An electric dipole of moment $p$ is placed in the position of stable equilibrium in uniform electric field of intensity $E$. This is rotated through an angle $\theta$ from the initial position. The potential energy of the electric dipole in the final position is

The given figure gives electric lines of force due to two charges $q_1$ and $q_2$. What are the signs of the two charges?

A hollow metallic sphere of radius $10\text{ cm}$ is charged such that potential of its surface is $80\text{ V}$. The potential at the centre of the sphere would be

Charge $q_2$ is at the centre of a circular path with radius $r$. Work done in carrying charge $q_1$, once around this equipotential path, would be

The radius of earth is about 6400 km and that of mars is 3200 km. The mass of the earth is about 10 times mass of mars. An object weighs 200 N on the surface of earth. Its weight on the surface of mars will be

The distance of two planets from the sun are $10^{13}\text{ m}$ and $10^{12}\text{ m}$ respectively. The ratio of time periods of the planets is

If the gravitational force between two objects were proportional to $1/R$ (and not as $1/R^2$), where $R$ is the distance between them, then a particle in a circular path (under such a force) would have its orbital speed $v$, proportional to

In a rocket, fuel burns at the rate of $1\text{ kg/s}$. This fuel is ejected from the rocket with a velocity of $60\text{ km/s}$. This exerts a force on the rocket equal to

A satellite in force free space sweeps stationary interplanetary dust at a rate of $dM/dt = \alpha v$, where $M$ is mass and $v$ is the speed of satellite and $\alpha$ is a constant. The acceleration of satellite is

A bar magnet is oscillating in the Earth's magnetic field with a period $T$. What happens to its period and motion if its mass is quadrupled?

The velocity of train increases uniformly from 20 km/h to 60 km/h in 4 hours. The distance travelled by the train during this period is

A car accelerates from rest at a constant rate $\alpha$ for some time after which it decelerates at a constant rate $\beta$ and comes to rest. If total time elapsed is $t$, then maximum velocity acquired by car will be

The displacement-time graph of a moving particle is shown below. The instantaneous velocity of the particle is negative at the point

A particle moves along a straight line such that its displacement at any time $t$ is given by $s = (t^3 - 6t^2 + 3t + 4)$ metres. The velocity when the acceleration is zero is

A circular loop of area $0.01\text{ m}^2$ carrying a current of $10\text{ A}$, is held perpendicular to a magnetic field of intensity $0.1\text{ T}$. The torque acting on the loop is

A loaded vertical spring executes S.H.M. with a time period of $4\text{ sec}$. The difference between the kinetic energy and potential energy of this system varies with a period of

A particle executes S.H.M. along $x$-axis. The force acting on it is given by

A seconds pendulum is mounted in a rocket. Its period of oscillation will decrease when rocket is

A body of mass $5\text{ kg}$ hangs from a spring and oscillates with a time period of $2\pi$ seconds. If the ball is removed, the length of the spring will decrease by

A boat is sent across a river with a velocity of $8\text{ km h}^{-1}$. If the resultant velocity of boat is $10\text{ km h}^{-1}$, then velocity of river is

Four lenses of focal length $\pm 15\text{ cm}$ and $\pm 150\text{ cm}$ are available for making a telescope. To produce the largest magnification, the focal length of the eyepiece should be

The blue colour of the sky is due to the phenomenon of

A small source of light is 4 m below the surface of water of refractive index 5/3. In order to cut off all the light, coming out of water surface, minimum diameter of the disc placed on the surface of water is

A solid spherical ball rolls on a table. Ratio of its rotational kinetic energy to total kinetic energy is

The given truth table is for which logic gate?

In an adiabatic change, the pressure and temperature of a monatomic gas are related as $P \propto T^{C}$, where $C$ equals

Which of the following has the dimensions of pressure?

A source of frequency $\upsilon$ gives 5 beats/second when sounded with a source of frequency $200\text{ Hz}$. The second harmonic of frequency $2\upsilon$ of source gives 10 beats/second when sounded with a source of frequency $420\text{ Hz}$. The value of $\upsilon$ is

Which one of the following represents a wave?

A wave of frequency $100\text{ Hz}$ travels along a string towards its fixed end. When this wave travels back, after reflection, a node is formed at a distance of $10\text{ cm}$ from the fixed end. The speed of the wave (incident and reflected) is

A stationary wave is represented by $y = A\sin(100t)\cos(0.01x)$, where $y$ and $A$ are in millimetres, $t$ is in seconds and $x$ is in metres. The velocity of the wave is

Ray optics is valid, when characteristic dimensions are

When a body moves with a constant speed along a circle

A body, constrained to move in $y$-direction, is subjected to a force given by $\vec{F} = (-2\hat{i} + 15\hat{j} + 6\hat{k})\text{ N}$. The work done by this force in moving the body through a distance of $10\hat{j}\text{ m}$ along $y$-axis, is

A position dependent force, $F = (7 - 2x + 3x^2)\text{ N}$ acts on a small body of mass $2\text{ kg}$ and displaces it from $x = 0$ to $x = 5\text{ m}$. The work done in joule is

The kinetic energy acquired by a mass $m$ in travelling distance $d$, starting from rest, under the action of a constant force is directly proportional to