List of top Questions asked in COMEDK UGET

The wavelength of the second line of the Balmer series is 486.4 nm. What is the wavelength of the first line of Lyman series?
Which of the following compounds does not exist?
The point \( (-3, -2) \) lies
A regular polygon of \( n \) sides has 170 diagonals. Then \( n \) is equal to:
The solution of the differential equation \( \frac{dy}{dx} + \sqrt{\frac{1 - y^2}{1 - x^2}} = 0 \) is
The solution of the differential equation \( x \frac{dy}{dx} = \cot y \) is
If \( \theta \) be the angle between the vectors \( a = 2\hat{i} + 2\hat{j} - \hat{k} \) and \( b = 6\hat{i} - 3\hat{j} + 2\hat{k} \), then
Maximum value of \( z = 12x + 3y \), subject to constraints \( x \geq 0, y \geq 0, x + y \leq 5 \) and \( 3x + y \leq 9 \) is
Which among the following will not liberate nitrogen on reaction with nitrous acid?
The first and fifth terms of an A.P. are -14 and 2 respectively and the sum of its $n$ terms is 40. The value of $n$ is
Two charged spheres of \( -20\, \mu\text{C} \) and \( 60\, \mu\text{C} \) are kept at a certain distance. They are touched and kept again at the same distance. What is the ratio of force experienced before and after?
Evaluate the integral \( \int \frac{1}{x \sqrt{ax^2 - x^2}} \, dx \)
Which of the following is used to prepare the inner lining of a blast furnace?
If 2 and 3 are intercepts of a line \( L = 0 \), then the distance of \( L \equiv 0 \) from the origin is
A multiple choice examination has 5 questions. Each question has three alternative answers of which exactly one is correct. The probability that a student will get 4 or more correct answers just by guessing is
\( (2^{3n} - 1) \) is divisible by
Which of the following statement is incorrect about activation energy? Higher the activation energy slower is the rate of reaction.
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:
If \(K_1\) and \(K_2\) are maximum kinetic energies of photoelectrons emitted when lights of wavelengths \(\lambda_1\) and \(\lambda_2\), respectively incident on a metallic surface and \(\lambda_1 = 3\lambda_2\), then
If A, B, and C are three mutually exclusive and exhaustive events such that \( P(A) = 2P(B) = 3P(C) \). What is \( P(B) \)?
The distance of point \( (1, 2) \) from line \( x + y + 2 = 0 \) measured along the line parallel to \( 2x - y = 5 \) is equal to:
Which of the following gases is responsible for acid rain?
How many numbers greater than 50000 can be formed by using digits 2, 5, 5, 6, 7?
Which of the following statement is incorrect for \( \mathrm{H_2O_2} \) structure?
Which of the following does not affect solubility of a gas in liquid?