List of top Questions asked in MET

\(F_2\) is formed by reacting \(K_2MnF_6\) with:
For a first order reaction, time required for 99% completion is \(x\) times the time required for 90% completion. Find \(x\).
For the cell reaction, \[ \text{Cu(s)} + 2\text{Ag}^+(aq) \rightarrow \text{Cu}^{2+}(aq) + 2\text{Ag(s)}, \quad E^\circ_{cell} = 0.46\,V \] The equilibrium constant of the reaction is:
Boiling point of water at \(750\,\mathrm{mmHg}\) is \(99.63^\circ\mathrm{C}\). The amount of sucrose to be added to \(500\,\mathrm{g}\) water so that it boils at \(100^\circ\mathrm{C}\) is_ _ _ _ g. (Molar elevation constant \(K_b = 0.5\,\mathrm{K\,kg\,mol^{-1}}\))
If \(K_p\) for the reaction \(A(g) + 2B(g) \rightleftharpoons 3C(g) + D(g)\) is \(0.05\) atm at \(1000\,K\), its \(K_c\) in terms of \(\frac{x \times 10^{-5}}{R}\). Find \(x\).
The maximum work obtained from a reversible process is given as:
The spin only magnetic moment of $[NiCl_4]^{2-}$ is_ _ _ _ (Nearest integer).
Match List-I (Compound) with List-II (Hybridisation): List-I & List-II
A. \( \text{CuCl}_5^{3-} \) & I. \( sp^3d^2 \)
B. \( \text{MnCl}_5^{3-} \) & II. \( d^2sp^3 \)
C. \( \text{XeOF}_4 \) & III. \( dsp^3 \)
D. \( \text{Fe(CO)}_5 \) & IV. \( sp^3d \)
Choose the correct match:
Electronegativity of the following elements increases in the order:
The wave number of the shortest wavelength of absorption spectrum of hydrogen atom is_ _ _ _
(Rydberg constant = \(109700\,\mathrm{cm^{-1}}\)).
In the circuit shown, diode has \(20\Omega\) forward resistance. When \(V_i\) increases from \(8V\) to \(12V\), change in current is \(x\,mA\). Find \(x\).
If an electron in \(n=4\) orbit of hydrogen atom jumps to \(n=3\), the energy released and wavelength emitted are:
If the frequency of incident photon on a metal surface is doubled, then stopping potential will become:
When a lens is cut into two halves along \(XOX'\), then focal length of each half lens:
When \(100\,V\) DC is applied across a solenoid, current is \(1\,A\). When \(100\,V\) AC is applied, current is \(0.5\,A\). Frequency \(=50\,Hz\). Find inductance \(= x\,mH\).
An electric kettle has two coils. When one coil is switched on, it takes 10 min to boil water and when the second coil is switched on it takes 20 min to boil same amount of water. The time taken when both coils are used in parallel is \(n\) seconds. Find \(n\).
In the following circuit diagram, potential difference across \(4\mu F\) capacitor is:
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An electric dipole shown in the figure. Work done to move a charge particle of \(1\mu C\) from point Q to P is \(x \times 10^{-7} J\), then the value of \(x\) is:
Fundamental frequency of a sonometer wire is \(n\). If the tension is made 3 times and length and diameter are also increased 3 times, what is the new frequency?
Two pendulums of time periods \(3\,s\) and \(7\,s\), respectively, start oscillating simultaneously from opposite extreme positions. After how much time will they be in same phase?
The stress versus strain graphs for wires of two materials A and B are as shown. If \(Y_A\) and \(Y_B\) are the Young's moduli of the materials, then:
A particle is projected with speed \(4\,km/s\). Find maximum height (in km). Radius of earth \(=6400\,km\), \(g=9.8\,m/s^2\).
A car turns on a road of radius \(300\,m\). Coefficient of friction = 0.3. Find maximum speed. (Take \(g=10\,m/s^2\))
Two points move in the same straight line starting at the same moment from the same point. One moves with velocity \(u\) and the other with acceleration \(f\). The greatest distance between them is:
If \(E =\) energy, \(G =\) gravitational constant, \(I =\) impulse and \(M =\) mass, then dimensions of \( \frac{EI}{GM^2} \) are same as that of: