JEE Main 2002 Physics Paper: AIEEE

In a transformer, number of turns in the primary coil are $140$ and that in the secondary coil are $280.$ If current in primary coil is $4A,$ then that in the secondary coil is

The power factor of $AC$ circuit having resistance $(R)$ and inductance $(L)$ connected in series and an angular velocity $\omega$ is

If $13.6\text{ eV}$ energy is required to ionize the hydrogen atom, then the energy required to remove an electron from $n = 2$ is

Capacitance (in $F$) of a spherical conductor with radius $1\text{ m}$ is

If there are $n$ capacitors in parallel connected to $V$ volt source, then the energy stored is equal to

Two identical particles move towards each other with velocity $2v$ and $v$ respectively. The velocity of center of mass is

The maximum velocity (in $\text{m s}^{-1}$) with which a car driver must traverse a flat curve of radius 150 m and coefficient of friction $0.6$ to avoid skidding is

A wire when connected to $220\text{ V}$ mains supply has power dissipation $P_1.$ Now the wire is cut into two equal pieces which are connected in parallel to the same supply. Power dissipation in this case is $P_2.$ Then $P_2 : P_1$ is

The mass of product liberated on anode in an electrochemical cell depends on (where $t$ is the time period for which the current is passed).

If $\theta_i$ is the inversion temperature, $\theta_n$ is the neutral temperature, $\theta_c$ is the temperature of the cold junction, then

If in the circuit, power dissipation is $150\text{ W},$ then $R$ is

If an ammeter is to be used in place of a voltmeter, then we must connect with the ammeter a

Formation of covalent bonds in compounds exhibits

Sodium and copper have work functions $2.3\text{ eV}$ and $4.5\text{ eV}$ respectively. Then the ratio of the wavelengths is nearest to

The inductance between $A$ and $D$ is

A conducting square loop of side $L$ and resistance $R$ moves in its plane with a uniform velocity $v$ perpendicular to one of its sides. A magnetic induction $B$ constant in time and space, pointing perpendicular and into the plane at the loop exists everywhere with half the loop outside the field, as shown in figure. The induced $\text{emf}$ is

Which of the following are not electromagnetic waves?

Electromagnetic waves are transverse in nature is evident by

If a charge $q$ is placed at the center of the line joining two equal charges $Q$ such that the system is in equilibrium then the value of $q$ is

A charged particle $q$ is placed at the centre $O$ of cube of length $L(ABCDEFGH).$ Another same charge $q$ is placed at a distance $L$ from $O$. Then the electric flux through $ABCD$ is

On moving a charge of $20$ coulomb by $2\text{ cm}, 2\text{ J}$ of work is done, then the potential difference between the points is

A cylinder of height $20\text{ m}$ is completely filled with water. The velocity of efflux of water (in $\text{ms}^{-1}$) through a small hole on the side wall of the cylinder near its bottom is

The kinetic energy needed to project a body of mass $m$ from the earth surface (radius $R$) to infinity is

The escape velocity of a body depends upon mass as

Energy required to move a body of mass $m$ from an orbit of radius $2R$ to $3R$ is

If suddenly the gravitational force of attraction between Earth and a satellite revolving around it becomes zero, then the satellite will

Infrared radiation is detected by

Which of the following is more close to a black body?

Two spheres of the same material have radii $1\text{ m}$ and $4\text{ m}$ and temperatures $4000\text{ K}$ and $2000\text{ K}$ respectively. The ratio of the energy radiated per second by the first sphere to that by the second is

Cooking gas containers are kept in a lorry moving with uniform speed. The temperature of the gas molecules inside will

At what temperature is the $r.m.s.$ velocity of a hydrogen molecule equal to that of an oxygen molecule at $47^\circ\text{C}?$

A lift is moving down with acceleration $a.$ A man in the lift drops a ball inside the lift. The acceleration of the ball as observed by the man in the lift and a man standing stationary on the ground are respectively

One end of a mass-less rope, which passes over a mass-less and friction-less pulley $P$ is tied to a hook $C$ while the other end is free. Maximum tension that the rope can bear is $360\text{ N}.$ With what value of maximum safe acceleration (in $\text{ms}^{-2}$) can a man of $60\text{ kg}$ climb on the rope?

Three identical blocks of masses $m = 2\text{ kg}$ are drawn by a force $F = 10.2\text{ N}$ with an acceleration of $0.6\text{ ms}^{-2}$ on a frictionless surface, then what is the tension (in $\text{N}$) in the string between the blocks $B$ and $C$?

A light string passing over a smooth light pulley connects two blocks of masses $m_1$ and $m_2$ (vertically). If the acceleration of the system is $g/8$, then the ratio of the masses is

When forces $F_1,\ F_2,\ F_3$ are acting on a particle of mass $m$ such that $F_2$ and $F_3$ are mutually perpendicular, then the particle remains stationary. If the force $F_1$ is now removed then the acceleration of the particle is

Two forces are such that the sum of their magnitudes is $18\text{ N}$ and their resultant is $12\text{ N}$ which is perpendicular to the smaller force. Then the magnitudes of the forces are

Speeds of two identical cars are $u$ and $4u$ at the specific instant. The ratio of the respective distances in which the two cars are stopped from that instant is:

From a building two balls A and B are thrown such that A is thrown upwards and B downwards ( both vertically with the same speed ). If vA and vB are their respective velocities on reaching the ground, then

If in a circular coil $A$ of radius $R,$ current $I$ is flowing and in another coil $B$ of radius $2R$ a current $2I$ is flowing, then the ratio of the magnetic fields $B_A$ and $B_B$, produced by them will be

If a current is passed through a spring then the spring will

Wires $1$ and $2$ carrying currents $i_1$ and $i_2$ respectively are inclined at an angle $\theta$ to each other. What is the force on a small element $dl$ of wire $2$ at a distance of $r$ from wire $1$ (as shown in figure) due to the magnetic field of wire $1$?

If an electron and a proton having same momentum enter perpendicular to a magnetic field, then

The time period of a charged particle undergoing a circular motion in a uniform magnetic field is independent of its

If $N_0$ is the original mass of the substance of half-life period $t_{1/2} = 5$ years, then the amount of substance left after $15$ years is

If mass-energy equivalence is taken into account, when water is cooled to form ice, the mass of water should

At a specific instant emission of radioactive compound is deflected in a magnetic field. The compound can emit

$(i)\ \textit{electrons}\quad (ii)\ \textit{protons}$

$(iii)\ He^{2+}\quad (iv)\ \textit{neutrons}$

The emission at instant can be

In a simple harmonic oscillator, at the mean position

A child swinging on a swing in sitting position, stands up, then the time period of the swing will

If a spring has time period $T,$ and is cut into $n$ equal parts, then the time period of each part will be

An astronomical telescope has a large aperture to

If two mirrors are kept at $60^\circ$ to each other, then the number of images formed by them is

Which of the following is used in optical fibres?

A particle of mass $m$ moves along line PC with velocity $v$ as shown. What is the angular momentum of the particle about P?

Initial angular velocity of a circular disc of mass $M$ is $\omega_1.$ Then two small spheres of mass $m$ are attached gently to diametrically opposite points on the edge of the disc. What is the final angular velocity of the disc?

Moment of inertia of a circular wire of mass $M$ and radius $R$ about its diameter is

A solid sphere, a hollow sphere and a ring are released from top of an inclined plane (frictionless) so that they slide down the plane. Then maximum acceleration down the plane is for (no rolling)

The energy band gap is maximum in

At absolute zero, Si acts as

By increasing the temperature, the specific resistance of a conductor and a semiconductor

The part of a transistor which is most heavily doped to produce large number of majority carriers is

Which statement is incorrect?

Even Carnot engine cannot give $100\%$ efficiency because we cannot

1 mole of a gas with $\gamma = 7/5$ is mixed with $1$ mole of a gas with $\gamma = 5/3,$ then the value of $\gamma$ for the resulting mixture is

Heat given to a body which raises its temperature by $1^{\circ}\text{C}$ is

Identify the pair whose dimensions are equal

A tuning fork arrangement (pair) produces $4$ beats/sec with one fork of frequency $288\text{ cps}$ A little wax is placed on the unknown fork and it then produces $2$ beats/sec. The frequency of the unknown fork is

When temperature increases, the frequency of a tuning fork

Tube $A$ has both ends open while tube $B$ has one end closed, otherwise they are identical. The ratio of fundamental frequency of tube $A$ and $B$ is

length of a string tied to two rigid supports is $40\text{ cm}$. Maximum length (wavelength in $\text{cm}$) of a stationary wave produced on it is

A wave $y = a\sin(\omega t - kx)$ on a string meets with another wave producing a node at $x = 0.$ Then the equation of the unknown wave is

Wavelengths of light used in an optical instrument are $\lambda_1 = 4000\text{ Å}$ and $\lambda_2 = 5000\text{ Å},$ then ratio of their respective resolving powers (corresponding to $\lambda_1$ and $\lambda_2$) is:

A ball whose kinetic energy is E, is projected at an angle of $45^\circ$ to the horizontal. The kinetic energy of the ball at the highest point of its flight will be

A spring of force constant $800\text{ N/m}$ has an extension of $5\text{ cm}.$ The work done in extending it from $5\text{ cm}$ to $15\text{ cm}$ is

If a body loses half of its velocity on penetrating $3\text{ cm}$ in a wooden block, then how much will it penetrate more before coming to rest?