List of top Questions asked in MET- 2022

The number of oxygen atoms that are directly attached to one chromium in dichromate ion are ___.
Out of N, P, As, Sb and Bi, the number of elements that form pentahalides are
Mond's process is used for refining ___. Whereas van Arkel method is used for refining ___.
For the reaction, \( \mathrm{N_2O_5(g) \rightarrow 2NO_2(g) + \frac{1}{2}O_2(g)} \), the value of the rate of disappearance of \( \mathrm{N_2O_5} \) is given as \( 5.15 \times 10^{-3} \, \mathrm{mol\,L^{-1}\,s^{-1}} \). The rate of formation of \( \mathrm{NO_2} \) is
From the following molar conductivities at infinite dilution, \( \Lambda_m^0 \), for \( \mathrm{NH_4OH} \) is
\( \Lambda_m^0 \) for \( \mathrm{Ba(OH)_2} = 446.8 \, \Omega^{-1} \, \mathrm{cm^2 \, mol^{-1}} \)
\( \Lambda_m^0 \) for \( \mathrm{BaCl_2} = 241.6 \, \Omega^{-1} \, \mathrm{cm^2 \, mol^{-1}} \)
\( \Lambda_m^0 \) for \( \mathrm{NH_4Cl} = 130 \, \Omega^{-1} \, \mathrm{cm^2 \, mol^{-1}} \)
In case of positive deviation from Raoult's law, the intermolecular attractive forces between the solute-solvent molecules as compared to those between the solute-solute and solvent-solvent molecules are
What is the first step and the final product formed in the reaction of HBr with \( CH_3-CH(CH_3)-CH=CH_2 \)?
If gas absorbs 150 J of heat and expands by \(450 \, \text{cm}^3\) against a constant pressure of \(2 \times 10^5 \, \text{N/m}^2\), then change in internal energy is
According to VSEPR theory, the molecular shapes of \(XeF_4\), \(XeO_4\), \(XeO_2F_2\) and \(XeOF_4\) respectively are
Arrange the following in increasing order of the volume (in L) occupied by them at STP (i) 1.5 moles of \(CO_2\)
(ii) 14 g of \(N_2\)
(iii) \(10^{21}\) molecules of oxygen
The electric field of light wave is given as \[ E = 10^3 \cos \left( \frac{2\pi x}{5 \times 10^{-7}} - 2\pi \times 6 \times 10^{14} t \right)\hat{j} \, \mathrm{N/C} \] This light falls on a metal plate of work function \( 1.5\, \mathrm{eV} \). The stopping potential of the photoelectron is \( \_\_\_ \, \mathrm{V} \).
(Energy of photon = \( \frac{1240}{\lambda \, (\text{in nm})} \, \mathrm{eV} \))
An electron, helium ion (\( \text{He}^{++} \)) and proton having the same kinetic energy. The relation between their respective de-Broglie wavelengths \( \lambda_e, \lambda_{\text{He}^{++}} \) and \( \lambda_p \) is
The angle of a prism is \( A \). One of its refracting surface is silvered. If light rays falling at an angle of incidence \( 2A \) on the first surface returns back through the same path after reflection from silvered surface. The refractive index \( \mu \) of the prism is
A particle of charge \( q \) and mass \( m \) is moving with a velocity \( -2v \hat{i} \) (\( v \neq 0 \)) towards a large screen placed in YZ-plane placed at a distance \( d \). If there is a magnetic field \( \vec{B} = B_0 \hat{k} \), the maximum value of \( v \) for which the particle will not strike the screen is
In a coil of resistance \(150\,\Omega\), a current is induced by changing the magnetic flux through it as shown by figure. The magnitude of flux through the coil is \( \_\_\_ \, \text{Wb} \).
The electric resistance of a wire is \( R \). If the length of the wire is increased to double by stretching it, then the new resistance of the wire is
The potential at a point at a distance \( r \) from the centre of an electric dipole is proportional to
At which temperature, magnitude of \( ^\circ C \) and \( ^\circ F \) are equal?
A vessel contains oil (Density = \(0.8 \, \text{g/cm}^3\)) over mercury (density = \(13.6 \, \text{g/cm}^3\)). A homogeneous sphere floats with half of its volume immersed in mercury and the other half in oil. The density of the material of the sphere is \( x \, \text{g/cm}^3 \). The value of \(x\) is
The stress that has to be applied to the ends of a steel wire of length 20 cm to keep its length constant, when its temperature is raised by \(100^\circ C\) is \(2.2 \times 10^x \, \text{Pa}\). The value of \(x\) is
(Given \( Y = 2 \times 10^{11} \, \text{Nm}^{-2}, \, \alpha = 1.1 \times 10^{-5} \, ^\circ C^{-1} \))
If the radius of a planet is three times the radius of the earth. Both have same mass-densities. \( v_P \) and \( v_E \) are the escape velocities of the planet and the earth respectively, then
A small object of uniform density rolls up a curved surface with an initial velocity \( v \). It reaches upto a maximum height of \( \frac{7v^2}{10g} \) with respect to initial position. Then the object is
A wire in the form of semi-circle of radius \( r \) rotates about its diameter with angular velocity \( \omega \) in a magnetic field \( B \). The axis of rotation is perpendicular to the field. The total resistance of the circuit is \( R \). If the mean power generated per period of rotation is \( \frac{(B\pi r^2 \omega)^2}{xR} \), then the value of \( x \) is
The work done by all the forces (external and internal) on a system is equal to change in
The time period of a mass suspended from a spring is \( T \). If the spring is cut into three equal parts and connected in parallel. The same mass is suspended from these parallel springs, then the new time period of the mass will be