List of top Questions asked in WBJEE

The displacement of a plane progressive wave in a medium, traveling towards the positive x-axis with velocity 4m/s at t=0 is given by \(y=3sin2\pi(-\frac{x}{3})\). Then the expression for the displacement at a later time t=4 sec will be
The value of \(\int_{0}^{\frac{1}{2}}\frac{dx}{\sqrt{1-x^{2n}}}\) is (n∈N)
A cyclic process is shown in the p-v diagram and T-S diagram. Which of the following statement(s) is/are true?
p-v diagramT-S diagram
 
'L' in the above sequence of reaction is/are(where L≠M≠N)
Let f(x)=[x2]sinπx, x>0. Then
If f(x)=3\(\sqrt[3]{x^2}-x^2\), then
Acceleration due to gravity at a height of H from the surface of a plane is the same as that at a depth of H below the surface.If R is the radius of the planet, then H vs. R graph for different planets will be
A balloon starting from rest ascends from the ground with a uniform acceleration of 4 ft/sec2. At the end of 5 sec, a stone is dropped from it. If t be the time to reach the stone to the ground and H is the height of the balloon when the stone goes to the floor, Then
X-rays of wavelength λ get reflected from parallel planes of atoms in a crystal with spacing d between two planes as shown in the figure. If the two reflected beams interfare constructively,Then the condition for maxima will be(n is the order of interference fringe)
X-rays of wavelength λ get reflected from parallel planes
Let a1, a2, a3,.....,an be positive real numbers.Then the minimum value of \(\frac{a_1}{a_2}+\frac{a_2}{a_3}+....+\frac{a_n}{a_1}\) is
The correct set(s) of reactions to synthesize benzoic acid starting from benzene is/are
An electron in the 5d orbital can be represented by the following(n,1,mr) values
The conversion(s) that can be carried out by bromine in carbon tetrachloride solvent is/are
Which of the following mixtures act(s) as a buffer solution?
Which statement(s) is/are applicable above critical temperature?
 
'G' in the above sequence of reaction is
Nickel combines with a uninegative monodentate ligand (X-) to form a paramagnetic complex [NiX4]2-.The hybridization involved and number of unpaired electrons present in the complex and respectively
Case-1: An ideal gas of molecular weight M at temperature T.
Case-2: Another ideal gas of molecular weight 2M at the temperature \(\frac{T}{2}\).
Identify the correct statement in the context of the above two cases.

The correct option for the above reaction is 

If all the nucleophilic substitution reactions at saturated carbon atoms in the above sequence of reactions follow Sn2 mechanism, then E and F will be respectively,
(i)(ii)(iii)(iv)
The correct order of acidity of above compound is 
Structure of M
Structure of M is

(i)

(ii)

(iii)

 

The relationship between the pair of compounds shown above is respectively,

(i)(ii)(iii)
The correct order of C = O bond length in ethyl propanoate(I), ethyl propenoate(II) and ethenyl propanoate(III) is
The IUPAC name of CH3CH=C-CHO-CH2-CH3 is: