List of top Questions asked in WBJEE- 2022

The Entropy ($S$) of a black hole can be written as $S = \beta k_B A$, where $k_B$ is the Boltzmann constant and $A$ is the area of the black hole. Then $\beta$ has dimension of
Oxidation states of Cr in K2Cr2O7 and CrO5 are, respectively:
The kinetic energy ($E_k$) of a particle moving along the X-axis varies with its position ($X$) as shown in the figure. The force acting on the particle at $X = 10$ m is
particle moving along the X-axis varies with its position
The major product of the following reaction is $F_3C \rightarrow CH = CH_2 + HBr$
If the kinetic energies of an electron, an alpha particle, and a proton having the same de-Broglie wavelength are $\varepsilon_1, \varepsilon_2, \varepsilon_3$ respectively, then
The correct order of acidity of the following hydra acids is:
The human eye has an approximate angular resolution of $\theta = 5.8 \times 10^{-4}$ rad, and a typical photo printer prints a minimum of 300 dpi (dots per inch, $1$ inch = $2.54$ cm). At what minimal distance $d$ should the printed page be held so that one does not see the individual dots?
In Young's double slit experiment with monochromatic light, the maximum intensity is 4 times the minimum intensity in the interference pattern. What is the ratio of the intensities of the two interfering waves?
Which of the following is radioactive?
Two charges, each equal to $-q$, are kept at $(-a, 0)$ and $(a, 0)$. A charge $q$ is placed at the origin. If $q$ is a small displacement along the $y$ direction, the force acting on $q$ is proportional to
The product of the following hydrogenation reaction is:
Consider two concentric conducting spheres of radii $R$ and $2R$ respectively. The inner sphere is given a charge $+Q$. The other sphere is grounded. The potential at $r = \frac{3R}{2}$ is
The above conversion can be carried out by:
A hemisphere of radius $R$ is placed in a uniform electric field $E$ so that its axis is parallel to the field. Which of the following statement(s) is/are true?
hemisphere of radius R is placed in a uniform electric field
The metal-pair that can produce nascent hydrogen in alkaline medium is:
A horizontal semi-circular wire of radius $r$ is connected to a battery through two similar springs $X$ and $Y$ to an electric cell, which sends current $I$ through it. A vertically downward uniform magnetic field $B$ is applied on the wire, as shown in the figure. What is the force acting on each spring?
A horizontal semi-circular wire of radius
How much solid oxalic acid (molecular weight $126$) has to be weighed to prepare $100$ mL of exactly $0.1$ N oxalic acid solution in water?
Given: The percentage error in the measurements of A, B, C, and D are respectively 4%, 2%, 3%, and 1%. The relative error in $Z = \frac{A^4 B^{1/3}}{C D^{3/2}}$ is
Which of the following would produce enantiomeric products when reacted with methyl magnesium iodide?
Choose the correct statement for the [Ni(CN)4]²⁻ complex ion (Atomic no. of Ni = 28)
XeF2, NO2, HCN, ClO2, CO2 Identify the non-linear molecule-pair from the above mentioned molecules.
$C_6H_6(\text{liquid}) + \frac{15}{2} O_2(\text{gas}) \rightarrow 6 CO_2(\text{gas}) + 3 H_2O(\text{liquid})$ Benzene burns in oxygen according to the above equation. What is the volume of oxygen (at STP) needed for complete combustion of $39$ grams of liquid benzene?
Pick the correct statement:
The correct order of relative stability for the given free radical is:
The correct statement(s) about B2H6 is/are: