List of top Questions asked in MET- 2014

Several spherical drops (radius \(r\)) combine to form one drop (radius \(R\)). Find change in surface energy.
Two substances of densities \(\rho_1\) and \(\rho_2\) are mixed in equal volumes, mixture density = 4. When mixed in equal masses, density = 3. Find \(\rho_1, \rho_2\).
Four thin rods of same mass \(M\) and length \(l\) form a square. Find moment of inertia about axis through centre and perpendicular to plane.
A wheel rotates at \(20\,rad/s\) and stops in \(4s\). Find work done if \(I=0.20\,kg\,m^2\).
A body \(A\) rests on smooth surface. Body \(B\) placed over \(A\) has coefficient of friction \(0.5\). Find force required to just move \(B\).
A particle moves along x-axis under force \(F(x) = -kx + ax^2\). Find nature of potential energy graph.
Two seconds after projection, a projectile is travelling in a direction inclined at \(30^\circ\) to the horizontal. After one more sec, it is travelling horizontally. Find its velocity magnitude and direction.
The acceleration-time graph of a body is shown below. The most probable velocity-time graph of the body is
Three blocks \(2\,\mathrm{kg}, 3\,\mathrm{kg}, 5\,\mathrm{kg}\) are connected on a frictionless surface. Force \(F = 10\,\mathrm{N}\). Find tension \(T_1\).
The acceleration of block \( B \) in the given pulley system is
The kinetic energy of a particle moving along a circle of radius \(R\) depends on distance as \(K = \frac{as}{R}\). Find force.
If \(L, C\) and \(R\) denote the inductance, capacitance and resistance respectively, the dimensional formula for \(C^2LR\) is
Number of particles is given by \(n = -D \frac{n_2 - n_1}{x_2 - x_1}\). If \(n_1, n_2\) are number of particles per unit volume for \(x_1, x_2\), find dimensions of \(D\).
A body starts from origin and moves along x-axis with velocity \(v = (4t^3 - 2t)\). What is the acceleration at distance 2 m from origin?
The equation \( \left(p + \frac{a}{v^2}\right)(v - b) = \text{constant} \). The unit of \( a \) is