List of top Questions asked in MET- 2024

For a first order reaction, time required for 99% completion is \(x\) times the time required for 90% completion. Find \(x\).
Which of the following ion is colourless inspite of the presence of unpaired electrons?
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 \(K_b = 0.5\,\mathrm{K\,kg\,mol^{-1}}\))
The maximum work obtained from a reversible process is given as:
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 \(x\).
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:
The spin only magnetic moment of $[NiCl_4]^{2-}$ is_ _ _ _ (Nearest integer).
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 = \(109700\,\mathrm{cm^{-1}}\)).
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:
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 \(x\).
In the following circuit diagram, potential difference across \(4\mu F\) capacitor is:
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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 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:
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 \(n\).
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:
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 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:
A car turns on a road of radius \(300\,m\). Coefficient of friction = 0.3. Find maximum speed. (Take \(g=10\,m/s^2\))
A particle is projected with speed \(4\,km/s\). Find maximum height (in km). Radius of earth \(=6400\,km\), \(g=9.8\,m/s^2\).
If \(E =\) energy, \(G =\) gravitational constant, \(I =\) impulse and \(M =\) mass, then dimensions of \( \frac{EI}{GM^2} \) are same as that of: