AIEEE 2006

A player caught a cricket ball of mass \(150\) \(g\) moving at a rate of \(20\) \(m/s.\) If the catching process is completed in \(0.1s,\) the force of the blow exerted by the ball on the hand of the player is equal to

In a Wheatstone's bridge, three resistance \(P, Q\) and \(R\) connected in the three arms and the fourth arm is formed by two resistances \({S_1}\) and \({S_2}\) connected in parallel. The condition for the bridge to be balanced will be

An electric bulb is rated \(220\) volt - \(100\) watt. The power consumed by it when operated on \(110\) volt will be

The resistance of bulb filmanet is \(100\Omega\) at a temperature of \({100^ \circ }C.\) If its temperature coefficient of resistance be \(0.005\) per \(^ \circ C\), its resistance will become \(200\,\Omega\) at a temperature of

A thermocouple is made from two metals, Antimony and Bismuth. If one junction of the couple is kept hot and the other is kept cold, then, an electric current will

The current \({\rm I}\) drawn from the \(5\) volt source will be

The time taken by a photoelectron to come out after the photon strikes is approximately

The threshold frequency for a metallic surface corresponds to an energy of \(6.2\) \(eV\) and the stopping potential for a radiation incident on this surface is \(5V.\) The incident radiation lies in

The anode voltage of a photocell is kept fixed. The wavelength \(\lambda\) of the light falling on the cathode is gradually changed. The plate current \({\rm I}\) of the photocell varies as follows

The flux linked with a coil at any instant \('t'\) is given by
\(\phi = 10{t^2} - 50t + 250\)
The induced \(emf\) at \(t=3s\) is

An inductor \((L=100\) \(mH)\), a resistor \(\left( {R = 100\,\Omega } \right)\) and a battery \(\left( {E = 100V} \right)\) are initially connected in series as shown in the figure. After a long time the battery is disconnected after short...

Which of the following units denotes the dimension \({{M{L^2}} \over {{Q^2}}}\), where \(Q\) denotes the electric charge?

The \(rms\) value of the electric field of the light coming from the Sun is \(720\) \(N/C.\) The average total energy density of the electromagnetic wave is

The circuit has two oppositively connected ideal diodes in parallel. What is the current following in the circuit?

If the ratio of the concentration of electrons to that of holes in a semiconductor is \({7 \over 5}\) and the ratio of currents is \({7 \over 4},\) then what is the ratio of their drift velocities?

In the following, which one of the diodes is reverse biased?

A solid which is not transparent to visible light and whose conductivity increases with temperature is formed by

In a common base mode of a transistor, the collector current is \(5.488\) \(mA\) for an emitter current of \(5.60mA.\) The value of the base current amplification factor \(\left( \beta \right)\) will be

If the lattice constant of this semiconductor is decreased, then which of the following is correct?

Two spherical conductors \(A\) and \(B\) of radii \(1\) \(mm\) and \(2\) \(mm\) are separated by a distance of \(5\) \(cm\) and are uniformly charged. If the spheres are connected by a conducting wire then in equilibrium condition, the rati...

An electric dipole is placed at an angle of \({30^ \circ }\) to a non-uniform electric field. The dipole will experience

Two insulating plates are both uniformly charged in such a way that the potential difference between them is \({V_2} - {V_1} = 20\,V.\) (i.e., plate \(2\) is at a higher potential). The plates are separated by \(d=0.1\) \(m\) and can be tre...

The refractive index of a glass is \(1.520\) for red light and \(1.525\) for blue light. Let \({D_1}\) and \({D_2}\) be angles of minimum deviation for red and blue light respectively in a prism of this glass. Then,

Assuming the Sun to be a spherical body of radius \(R\) at a temperature of \(TK\), evaluate the total radiant powered incident of Earth at a distance \(r\) from the Sun
Where r0 is the radius of the Earth and \(\sigma\) is Stefan's consta...

The work of \(146\) \(kJ\) is performed in order to compress one kilo mole of gas adiabatically and in this process the temperature of the gas increases by \({7^ \circ }C.\) The gas is $$\left( {R = 8.3J\,\,mo{l^{ - 1}}\,{K^{ - 1}}} \right)...

Two rigid boxes containing different ideal gases are placed on a table. Box A contains one mole of nitrogen at temperature \({T_0},\) while Box contains one mole of helium at temperature \(\left( {{7 \over 3}} \right){T_0}.\) The boxes are ...

Needles \({N_1}\), \({N_2}\) and \({N_3}\) are made of ferromagnetic, a paramagnetic and a diamagnetic substance respectively. A magnet when brought close to them will

In a region, steady and uniform electric and magnetic fields are present. These two fields are parallel to each other. A charged particle is released from rest in this region. The path of the particle will be a

A long solenoid has \(200\) turns per \(cm\) and carries a current \(i.\) The magnetic field at its center is \(6.28 \times {10^{ - 2}}\,\,\,Weber/{m^2}.\) Another long solenoid has \(100\) turns per \(cm\) and it carries a current $${i \ov...

A particle located at x = 0 at time t = 0, starts moving along the positive x-direction with a velocity
'v' that varies as \(v = \alpha \sqrt x\). The displacement of the particle varies with time as

A wire elongates by \(l\) \(mm\) when a LOAD \(W\) is hanged from it. If the wire goes over a pulley and two weights \(W\) each are hung at the two ends, the elongation of the wire will be (in \(mm\))

If the terminal speed of a sphere of gold (density \(= 19.5\,\,kg/{m^3}\)) is \(0.2\) \(m/s\) in a viscous liquid (density \(= 1.5\,\,kg/{m^3}\), find the terminal speed of a sphere of silver (density \(= 10.5\,\,kg/{m^3}\)) of the same ...

A thin circular ring of mass \(m\) and radius \(R\) is rotating about its axis with a 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 rot...

Four point masses, each of value \(m,\) are placed at the corners of a square \(ABCD\) of side \(l\). The moment of inertia of this system about an axis passing through \(A\) and parallel to \(BD\) is

A force of \(- F\widehat k\) acts on \(O,\) the origin of the coordinate system. The torque about the point \((1, -1)\) is

A coin is placed on a horizontal platform which undergoes vertical simple harmonic motoin of angular frequency \(\omega .\) The amplitude of oscillation is gradually increased. The coin will leave contact with the platform for the first tim...

The maximum velocity of a particle, executing simple harmonic motion with an amplitude \(7\) \(mm,\) is \(4.4\) \(m/s.\) The period of oscillation is

Starting from the origin a body oscillates simple harmonically with a period of \(2\) \(s.\) After what time will its kinetic energy be \(75\%\) of the total energy?

A string is stretched between fixed points separated by \(75.0\) \(cm.\) It is observed to have resonant frequencies of \(420\) \(Hz\) and \(315\) \(Hz\). There are no other resonant frequencies between these two. Then, the lowest resonant ...

A whistle producing sound waves of frequencies \(9500\) \(Hz\) and above is approaching a stationary person with speed \(v\) \(m{s^{ - 1}}.\) The velocity of sound in air is \(300\,m{s^{ - 1}}.\) If the person can hear frequencies upto a ma...

A mass of \(M\) \(kg\) is suspended by a weightless string. The horizontal force that is required to displace it until the string makes an angle of \({45^ \circ }\) with the initial vertical direction is

A particle of mass \(100g\) is thrown vertically upwards with a speed of \(5\) \(m/s\). The work done by the force of gravity during the time the particle goes up is

The potential energy of a \(1\) \(kg\) particle free to move along the \(x\)-axis is given by \(V\left( x \right) = \left( {{{{x^4}} \over 4} - {{{x^2}} \over 2}} \right)J\).
The total mechanical energy of the particle is \(2J.\) Then, the ...

A ball of mass \(0.2\) \(kg\) is thrown vertically upwards by applying a force by hand. If the hand moves \(0.2\) \(m\) while applying the force and the ball goes upto \(2\) \(m\) height further, find the magnitude of the force. (consider $...