List of top Questions asked in OJEE

Federation Cup, World Cup, Allywyn International Trophy and Challenge Cup are awarded to winners of
If a piece of matter violates nature's law, it is not punished because
Laws of nature differ from man-made laws because
A force \( F \) is applied upon a square with side \( L \). Errors in \( L \) and \( F \) are 2% and 4% respectively. Error in measuring pressure will be
Which of the following combination of properties would be most desirable for a cooking pot?
A body is thrown vertically upward. It passes from a point at times \( t_1 \) and \( t_2 \), then the height of that point will be
A diatomic gas expands adiabatically so that its density becomes \( \frac{1}{32} \) part the earlier value. If the initial pressure be \( P \), then the final pressure will be
The speed of a projectile is half of its initial speed at maximum height. Then, the angle of projection will be
The flow velocity of water from a tap is 3 liters/min. If the diameter of the tap is 1.25 cm and the viscosity of water is \( 10^{-3} \) Poise, then the value of Reynolds number is approximately
The following forces are acting on a particle: (1) \( 2i + 3j - 2k \), (2) \( 3i + j + 3k \), and (3) \( -5i + 2j + k \). Now the particle will move in
An enclosed container filled with gas is moving in a horizontal direction with some acceleration. Neglecting the gravitational force, the pressure of the gas inside the container will be
The thickness of the ice layer on the surface of a lake is 20 m. A hole is made in the ice layer. What is the minimum length of the rope required to take a bucket full of water?
A man of height \( H \) is standing on level road where because of temperature variation, the refractive index of air is varying as \( \mu = (1 + \alpha y)^{1/2 \), where \( y \) is the height from the level road and \( \alpha \) is a positive constant. Find the distant point that man can see on the road.}
A 0.02(M) NaOH solution and a 0.01(M) HCl solution are mixed in the volume ratio of 2:3. The pH of the mixed solution will be
A colloidal solution is subjected to an electric field. The colloidal particles move toward the anode. In the coagulation of this solution using NaCl, BaCl2, and AlCl3 separately, which one is the correct order of coagulation power?
An aqueous solution of CuSO4 solution is electrolyzed for 193 s with a current of 2.5 amp. Given that the atomic mass of Cu is 63.5 and \( F = 96500 \) coulombs, the amount of copper deposited at the anode is
For which of the following is the adsorption theory applicable?
The molar conductivity \( \Lambda^0_m \) at infinite dilution for HCl, NaCl, and \( \text{CH}_3\text{COONa} \) at 25°C are 426, 126, and 91 S cm\(^2\) respectively. The \( \Lambda^0_m \) for acetic acid at the same temperature will be
Gold crystallizes in a face-centered cubic lattice with unit cell length of 4.07 Å. Relative atomic mass of gold is 197.0. The density of gold will be
18 g of glucose was dissolved in 360 g of water. The vapor pressure of the solution at 100°C will be
3 moles of an ideal gas expands isothermally against a constant pressure of 2 Pascal from 20 L to 60 L. The amount of work involved is
A galvanic cell consists of the following: \[ \text{Zn(s)} | \text{Zn}^{2+}(0.01M) || \text{Cu}^{2+}(0.1M) | \text{Cu(s)} \] The standard reduction potentials of the two electrodes are given as \( E^0(\text{Zn}^{2+}/\text{Zn}) = -0.763 \, \text{V} \) and \( E^0(\text{Cu}^{2+}/\text{Cu}) = 0.337 \, \text{V} \). The emf of the above cell will be:
3 moles of an ideal gas expands isothermally against a constant pressure of 2 Pascal from 20 L to 60 L. The amount of work involved is
If the straight line \( \frac{x}{p} - \frac{y}{q} = 1 \) touches the curve \( \left( \frac{x}{a} \right)^n - \left( \frac{y}{b} \right)^n = 1 \), then
For any positive integer \( n \), the value of \( 1 + 1! + 2.2! + 3.3! + \cdots + n.n! \) will be