List of top Questions asked in MET- 2023

In which form styrene exists at room temperature?
If complex number \(z\) lies in the interior or on the boundary of circle of radius 3 units, then maximum and minimum values of \(|z + 1|\) are:
Find the product Z in the series of reactions. \[ \text{Phenol} \xrightarrow{\text{Zn dust}} X \xrightarrow{\text{CH}_3\text{Cl / anhyd. AlCl}_3} Y \xrightarrow{\text{alkaline KMnO}_4} Z \]
Match the complexes in Column-I with their hybridisation in Column-II.

Column-I     Column-II
A. \([ \mathrm{Ni(CO)_4} ]\)      1. \(dsp^2\)
B. \([ \mathrm{Ni(CN)_4} ]^{2-}\)      2. \(sp^3\)
C. \([ \mathrm{Ni(NH_3)_6} ]^{2+}\)      3. \(d^2sp^3\)
D. \([ \mathrm{Fe(CN)_6} ]^{3-}\)      4. \(sp^3d^2\)
Value of \(E_2^\circ\) in the given diagram (ignore negative sign).
Which of the following reagents are used to convert propene to propyne?
Consider the graph for cyclic process. The isothermal compression process among them is:
The hydroxide of alkaline earth metal not soluble in water is:
Which of the following species have same bond order? I. \( \mathrm{H_2} \)
II. \( \mathrm{B_2} \)
III. \( \mathrm{O_2^{2-}} \)
IV. \( \mathrm{Be_2} \)
V. \( \mathrm{N_2} \)
Correct option is:
Which of the following conclusion is correct regarding photoelectric effect?
The number of \( \text{Cl}^- \) ions in \(100 \, \text{mL}\) of \(0.001 \, \text{M}\) NaCl solution is:
Ionisation potential of hydrogen atom is \(13.6 \, \text{eV}\). Hydrogen atoms in the ground state are excited by monochromatic radiation of photon energy \(12.1 \, \text{eV}\). The spectral lines emitted by hydrogen atoms according to Bohr's theory will be:
A proton accelerated through a potential difference of 100 V has de-Broglie wavelength \( \lambda_0 \). The de-Broglie wavelength of an \(\alpha\)-particle accelerated through 800 V is:
In Young's double slit experiment, if the source of light changes from orange to blue, then
A ray falls on a prism \(ABC\) (AB = BC) and travels as shown in the figure. The minimum refractive index of the prism material should be:
A vertical disc of diameter 10 cm makes 20 revolutions per second about a horizontal axis through its centre. A uniform magnetic field \(10^{-1}\) T acts perpendicular to the plane. If potential difference between centre and rim is \(\frac{\pi}{x} \times 10^{-p}\) Volt, find \(x/p\).
A function of time is represented as follows \( \sin \omega t + \cos 2\omega t + \sin 4\omega t \). The motion represented by it is:
The resistance of a wire at \(20^\circ C\) is \(20\Omega\) and at \(500^\circ C\) is \(60\Omega\). At which temperature its resistance will be \(25\Omega\)?
A charged capacitor when filled with a dielectric \(K = 3\) has charge \(Q_0\), voltage \(V_0\) and field \(E_0\). If the dielectric is replaced with another one having \(K = 9\), the new values of charge, voltage and field will be respectively:
The lower end of a capillary tube is dipped into water and it is seen that water rises through \(7.5\,\text{cm}\) in the capillary. Given, surface tension of water is \(7.5 \times 10^{-2}\,\text{N m}^{-1}\) and angle of contact is zero. Find the diameter (in mm) of the capillary tube. (Given \(g = 10\,\text{m s}^{-2}\))
Two steel wires having same length are suspended from a ceiling under the same load. If the ratio of their energy stored per unit volume is \(1:4\), then the ratio of their diameters is found to be \(\sqrt{k} : 1\). Find the value of \(k\).
A force \( F = (2 + x) \) acts on a particle in x-direction, where \(F\) is in newton and \(x\) in metre. The work done during displacement from \(x=1\) m to \(x=2\) m is:
The acceleration due to gravity becomes \( \frac{g}{2} \) at a height equal to:
A disc of mass 5 kg and radius 50 cm rolls on the ground at 10 m/s. Find the kinetic energy.
Two stones having different masses \( m_1 \) and \( m_2 \) are projected at angles \( \theta \) and \( (90^\circ - \theta) \) with same velocity from the same point. The ratio of their maximum heights is: