List of top Questions asked in Assam CEE

In the circuit shown below, determine the current in the resistor. Given: \[ E=10.7\ \text{V} \] \[ R=10\,k\Omega \] Silicon diode in forward bias.
Which of the following semiconductors is electrically negative?
Five point charges, each of value \(+q\), are placed on five vertices of a regular hexagon of side \(L\). What is the magnitude of the force on a point charge \(-q\) placed at the centre of the hexagon?
A solenoid of resistance \(40\,\Omega\) and inductance \(80\,H\) is connected to a \(200\,V\) battery. How long will it take the current to reach \(50\%\) of its final equilibrium value?
Two parallel wires \(AL\) and \(BM\), placed at a distance \(l\), are connected by a resistor \(R\) and placed in a magnetic field \(B\) perpendicular to the plane of the wires. Another wire \(CD\) connects the two wires perpendicularly and is made to slide with velocity \(v\). Neglect the resistance of all the wires. What is the work done per second needed to slide the wire \(CD\)?
A proton has a velocity \[ \vec v=3\hat i+4\hat j\ \text{m s}^{-1} \] and is subjected to a magnetic field \[ \vec B=5\hat k\ \text{T}. \] Then
For a given length \(L\) of a wire carrying a current \(I\), how many circular turns will produce the maximum magnetic moment?
How many grams of ice at \(-20^\circ\mathrm{C}\) will be needed to cool \(1.1\) litres of water from \(30^\circ\mathrm{C}\) to \(20^\circ\mathrm{C}\)? \[ c_{\text{ice}}=0.5\ \text{cal g}^{-1}\,{}^{\circ}\mathrm{C}^{-1} \] \[ L_f=80\ \text{cal g}^{-1} \]
In a steel plate of length \(100\) cm and breadth \(50\) cm, there is a hole in the shape of an equilateral triangle of side \(10\) cm. The coefficient of linear expansion of steel is \(1.2\times10^{-5}\,{}^{\circ}\mathrm{C}^{-1}\). The temperature of the steel plate is increased by \(100^\circ\mathrm{C}\). What will be the percentage change in the area of the triangular hole?
A wave represented by the equation \[ y=a\cos(kx-\omega t) \] is superposed with another to form a stationary wave such that point \(x=0\) is a node. What is the equation for the other wave?
Find the de Broglie wavelength associated with a thermal neutron of mass \(m\) at absolute temperature \(T\). \[ k=\text{Boltzmann constant}, \qquad h=\text{Planck's constant} \]
The work done in turning a magnetic dipole of magnetic moment \(M\) in a magnetic field \(B\) by an angle \(90^\circ\) from the meridian is \(n\) times the corresponding work done in turning it through an angle of \(60^\circ\) in the same field and from the same initial condition. Find the value of \(n\).
The fundamental frequency of a sonometer wire increases by \(4\) Hz if the tension in the string is increased by \(21\%\) keeping the length of the wire constant. What will be the new fundamental frequency of the wire if its length is increased by \(25\%\) while keeping the original tension in the wire?
Two wires \(W_1\) and \(W_2\) of the same material and equal radius are stretched by equal forces well within their elastic limit. If the lengths of wires \(W_1\) and \(W_2\) are in the ratio \(1:3\), then what will be the ratio of strains produced in wires \(W_1\) and \(W_2\)?
A particle is executing a simple harmonic motion with time period \(T\) and amplitude \(A\) and having the origin at \(O\). What is the time difference between its travel from \(O\) to \(A/2\) and from \(A/2\) to \(A\) on one side of the origin?
Find the energy released, if \(5\) g of \(^{235}\mathrm{U}\) is completely consumed in a chain reaction.
The mean lives of a radioactive substance are \(1620\) years and \(405\) years for \(\alpha\)-emission and \(\beta\)-emission respectively. Find the time during which three-fourths of a sample will decay if it is decaying by both \(\alpha\)-emission and \(\beta\)-emission simultaneously.
A \(\mu\)-meson of charge equal to that of an electron \((-e)\) and mass \(208\) times the mass of an electron moves in a circular orbit around a nucleus of charge \(+3e\). Assuming that the Bohr model is applicable and the mass of the nucleus is infinite, find the orbit number \(n\) for which the radius of the orbit is approximately the same as that of the first Bohr orbit of hydrogen atom.
A metal ring of radius \(10\) cm and mass \(0.5\) kg is rolling down an inclined plane from rest without slipping. The inclined plane makes an angle of \(30^\circ\) with the horizontal. What is the linear acceleration of the ring? \[ g=10\ \text{m s}^{-2} \]
A particle of mass \[ m=0.25\ \text{kg} \] is moving along a straight line parallel to the \(x\)-axis with a constant velocity \[ v=5\ \text{m s}^{-1} \] as shown in the figure. What is the angular momentum of the particle with respect to the origin?
A particle of mass \(0.2\) kg is moving in a horizontal circle of radius \(r\) under a centripetal force equal to \[ -\frac{K}{r^5}, \] where \(K\) is a constant. What is the total energy of the particle?
Two-thirds mole of an ideal diatomic gas is taken around the cyclic process \(ABCA\) shown in the figure. What is the amount of heat rejected by the gas to the surrounding in the path \(CA\)?
A and B are two ideal gases. \(3\) g-mole of gas A at absolute temperature \(T_1\) and \(5\) g-mole of gas B at absolute temperature \(T_2\) have been mixed. There is no loss of energy in the process. Find the temperature of the mixture if \(T_1=300\) K and \(T_2=500\) K.
Two rectangular metal rods, identical in all respects, have been welded end-to-end as shown in figure (I). \(100\) J of heat flows through the combination in \(20\) minutes. If the rods are welded as one on top of the other as shown in figure (II), in how many minutes will the same amount of heat flow through the new combination? In either case, the temperature difference across the entry and exit points of heat is \(100^\circ\text{C}\).
A block of mass \(0.1\) kg is held against a vertical wall by applying a horizontal force \(F\) on the block. If the coefficient of friction between the wall and the block is \(0.4\), then what is the magnitude of the minimum force \(F\) needed to keep the block at rest? \[ g=10\ \text{m s}^{-2} \]