AIPMT 2006 Mock Test

When photons of energy $h\nu$ fall on an aluminium plate (of work function $E_0$), photoelectrons of maximum kinetic energy $K$ are ejected. If the frequency of the radiation is doubled, the maximum kinetic energy of the ejected photoelectrons will be :

The following figure shows a logic gate circuit with two inputs A and B and the output C. The voltage waveforms of A, B, and C as shown below:(Assuming waveforms where C is high only when both A and B are high, matching a standard AND gate profile)The logic circuit gate is :

A coil of inductive reactance $31\Omega$ has a resistance of $8\Omega$. It is placed in series with a condenser of capacitive reactance $25\Omega$. The combination is connected to an a.c. source of $110\text{V}$. The power factor of the circuit is:

A $0.5\text{kg}$ ball moving with a speed of $12\text{m/s}$ strikes a hard wall at an angle of $30^{\circ }$ with the wall. It is reflected with the same speed and at the same angle. If the ball is in contact with the wall for $0.25\text{s}$, the average force acting on the wall is:

The moment of inertia of a uniform circular disc of radius $R$ and mass $M$ about an axis touching the disc at its diameter and normal to the disc is: