List of top Questions asked in COMEDK UGET- 2022

Which of the following gate gives the similar output as the output of the circuit diagram shown in the figure? 

Ultraviolet light of wavelength 99 nm falls on a metal plate of work function 1.0 eV. If the mass of the electron is \( 9.1 \times 10^{-31} \) kg, the wavelength of the fastest photoelectron emitted is:
In Young's double slit experiment, the fringe width is found to be 0.4 mm. If the whole apparatus is immersed in a liquid of refractive index \( \frac{4}{3} \) without changing the geometrical arrangement, the new fringe width will be:

In the network shown in figure, the equivalent capacitance between points P and Q is 

If \( \lim_{x \to 0} \frac{(1 + a^3)^x + 8e^{1/x}}{1 + (1 - b^3)^x e^{1/x}} = 2 \), then:
The approximate value of \( (0.007)^{1/3} \) is:
Let \( f(x) = a - (x-3)^{8/9} \), then the maxima of \( f(x) \) is:

If the derivative of the function \( f(x) = \begin{cases} b x^2 + ax + 4; & x \geq -1 \\ a x^2 + b; & x < -1 \end{cases} \) is everywhere continuous, then
 

If \( \lim_{x \to \infty} \left( 1 + \frac{a}{x} + \frac{b}{x^2} \right)^{2x} = e^2 \), then:
If for any \( 2 \times 2 \) square matrix \( A \), \( A(\text{adj} A) = \begin{bmatrix} 8 & 0 \\ 0 & 8 \end{bmatrix} \), then find the value of \( \det(A) \).
If \( A = \begin{bmatrix} 2 - k & 2 \\ 1 & 3 - k \end{bmatrix} \) is a singular matrix, then the value of \( 5k - k^2 \) is:
If \( A = \begin{bmatrix} a & 0 & 0 \\ 0 & a & 0 \\ 0 & 0 & a \end{bmatrix} \), then \( |A| \cdot \text{adj}(A) \) is equal to:
The argument of \( \dfrac{1 - i\sqrt{3}}{1 + i\sqrt{3}} \) is:
A newly prepared radioactive nuclide has a decay constant of 6.93 s\(^{-1}\). What is the half-life of the nuclide?
\( (i + \sqrt{3})^{100} + (i - \sqrt{3})^{100} + 2^{100} \) is equal to:
The total number of terms in the expansion of \( (x + y)^{100} + (x - y)^{100} \):
The coefficient of \( x^{20} \) in the expansion of \( (1 + 3x + 3x^2 + x^3)^{20} \):
Which of the following artificial sweeteners can be used in soft drinks only?
The equilibrium constant, \(K_C\) for \(3C_2H_2(g) \rightleftharpoons C_6H_6(g)\) is 4 L\(^2\)mol\(^{-2}\). If the equilibrium concentration of benzene is 0.5 mol/L, then what is the value of concentration of ethylene?
Which of the following statement is incorrect about activation energy? Higher the activation energy slower is the rate of reaction.
The relation between work done in reversible and irreversible process is
In which of the following changes, entropy decreases?
Which among the following forms minimum boiling azeotropes?
(i) Heptane + Octane
(ii) Water + Nitric acid
(iii) Ethanol + Water
(iv) Acetone + Carbon dioxide
For the reaction \( 2 N_2O_5 \rightarrow 4 NO_2 + O_2 \). If initial pressure is 100 atm and rate constant \( k \) is \( 3.38 \times 10^{-5} \, \text{s}^{-1} \), After 20 min the final pressure of \( N_2O_5 \) will be:
The correct condition for physical adsorption is