List of top Questions asked in CPET

The moment of inertia of a pair of spheres, each having mass \(m\) and radius \(r\), kept in contact, about the tangent passing through the point of contact is:

In a gamma decay process, the internal energy of the nucleus of mass \(M\) decreases, a gamma photon of energy \(E\) and linear momentum \(\dfrac{E}{c}\) is emitted, and the nucleus recoils. The decrease of internal energy is:

An ideal inductor, a resistor of resistance \(R\) Ohms and a capacitor with adjustable capacitance are connected in series to an alternating voltage with an effective value of \(V\) Volts and frequency of \(f\) Hz. The current flowing through the circuit when the capacitance of the capacitor is set to \(C_1\) is the same as when the capacitance of the capacitor is set to \(C_2\), \(C_2 > C_1\). The inductance of the inductor \(L\) is given by:

A small block of mass \(m\) is kept on a rough inclined surface of inclination \(\theta\) fixed in an elevator. The elevator rises with a uniform velocity \(v\), and the block does not slide on the wedge. The work done by the force of friction on the block in time \(t\) will be:

A square conducting loop of mass \(m\), side \(l\) and resistance \(R\) is dropped into a region with a uniform horizontal magnetic field \(B\) whose direction is perpendicular to the plane of the falling loop. The loop will reach a terminal velocity \(v\) given by:

Two Carnot engines, X and Y, are operating in series. The engine X receives heat at \(1200\ \text{K}\) and rejects to a reservoir at a temperature \(T\). The second engine, Y, receives the heat rejected by X and, in turn, rejects to a heat reservoir at \(300\ \text{K}\). What is the temperature \(T\) (in Kelvin) for the situation when the efficiency of the engines is the same?

Are the three points whose position vectors are \(2\hat{i} + 3\hat{j} - 4\hat{k}\), \(\hat{i} - 2\hat{j} + 3\hat{k}\) and \(-7\hat{j} + 10\hat{k}\) collinear?

Student A's probability of solving the problem is \(1/2\), and B's is \(2/3\). What is the probability that the problem is solved?

Which radiation has maximum ionization power?

For beta-minus decay, which statement is TRUE?

The hexadecimal equivalent of a digital number \(10011101\) is:

If the doping concentration in a Si-Zener diode is increased, the Zener breakdown voltage:

Which one of the following is an example of doubly magic nuclei?

A sinusoidal carrier voltage of frequency \(1\ \text{MHz}\) and amplitude \(100\ \text{Volts}\) is amplitude modulated by a sinusoidal voltage of frequency \(5\ \text{kHz}\) producing \(50\%\) modulation. The frequency and amplitude of the lower and upper sideband terms will be:

An AM transmitter is coupled to an aerial. The input current is found to be \(5\ \text{A}\). With modulation, the current value increases to \(5.9\ \text{A}\). The depth of modulation is:

If \(r_p\) and \(r_H\) are the radius and \(E_p\) and \(E_H\) are the energy of an electron in the \(n\) orbit of positronium atom and hydrogen atom, respectively, then:

The dispersion relation for a one-dimensional monoatomic lattice chain is given by the equation \[\omega = \frac{2}{a}\,\vartheta_s\left|\sin\!\left(\frac{ka}{2}\right)\right|,\] where \(a\) is the interatomic spacing, \(k = \dfrac{2\pi}{\lambda}\), and \(\vartheta_s\) has the dimension of velocity. The relation between the phase velocity \(V_p\) and group velocity \(V_g\) in the long wavelength limit is given by:

Given for an FET, \(g_m = 95\ \text{mA/volt}\), total capacitance \(= 5000\ \text{pF}\). For a voltage gain of \(-30\), the bandwidth will be:

What is the velocity of the conduction electron of silver having Fermi energy \(5.52\ \text{eV}\)?

An X-ray beam of wavelength \(0.16\ \text{nm}\) is incident on a set of planes of a certain crystal. The first Bragg reflection is observed for an incidence angle of \(30^\circ\). What is the corresponding interplanar spacing?

The largest wavelength of light falling on double slits separated by \(1.5\ \mu\text{m}\), for which there is a first-order maximum, is in the:

An atomic transition line with a wavelength of 350 nm is observed to be split into three components in a spectrum of light from a sunspot. Adjacent components are separated by 1.7 pm. The strength of the magnetic field in the sunspot is:

The condition that the vector \(\vec{A}\) should be a gradient of a scalar function is:

Which one of the following is correct with respect to an electron and a proton having the same de-Broglie wavelength of \(0.2\ \text{\AA}\)?

The value of \(a\), \(b\) and \(c\) such that \(\vec{F} = (3x - 4y + az)\hat{i} + (cx - 5y - 2z)\hat{j} + (x - by + 7z)\hat{k}\) is irrotational, are respectively: