List of top Questions asked in WBJEE- 2024

The internal energy of a thermodynamic system is given by \( U = a s^{4/3} v^\alpha \), where \( s \) is entropy, \( v \) is volume, and \( a \) and \( \alpha \) are constants. The value of \( \alpha \) is:

A 2V cell is connected across the points A and B as shown in the figure. Assume that the resistance of each diode is zero in forward bias and infinity in reverse bias. The current supplied by the cell is:

Which of the following represent(s) the enantiomer of Y?

Let \( \theta \) be the angle between two vectors \( \vec{A} \) and \( \vec{B} \). If \( \hat{a}_\perp \) is the unit vector perpendicular to \( \vec{A} \), then the direction of \( \vec{B} - \vec{B} \sin \theta \hat{a}_\perp \) is:

In the following sequence of reactions, compound 'M' is:

\( \text{M} \xrightarrow{\text{CH}_3\text{MgBr}} \text{N} + \text{CH}_4 \uparrow \xrightarrow{\text{H}^+} \text{CH}_3\text{COCH}_2\text{COCH}_3 \)

The reactivity order of the following molecules towards SN1 reaction is:
Allyl chloride (I), Chlorobenzene (II), Ethyl chloride (III)

The position vector of a particle of mass \(m\) moving with a constant velocity \(\mathbf{u}\) is given by \(\mathbf{r} = x(t)\hat{i} + b\hat{j}\), where \(b\) is a constant. At an instant, \(\mathbf{r}\) makes an angle \(\theta\) with the x-axis as shown in the figure. The variation of the angular momentum of the particle about the origin with \(\theta\) will be:

A charge \( Q \) is placed at the center of a cube of sides \( a \). The total flux of electric field through the six surfaces of the cube is:

Water is filled in a cylindrical vessel of height H. A hole is made at height z from the bottom, as shown in the figure. The value of z for which the range R of the emerging water through the hole will be maximum for:

Toluene reacts with mixed acid at 25°C to produce:

A small sphere of mass m and radius R slides down the smooth surface of a large hemispherical bowl of radius R. If the sphere starts sliding from rest, the total kinetic energy of the sphere at the lowest point A of the bowl will be:

For a spontaneous process, the incorrect statement is:

In the given network of AND and OR gates, output Q can be written as (assuming n even):

How many P–O–Plinkages are there in P₄O₁₀?

A small ball of mass m is suspended from the ceiling of a floor by a string of length L. The ball moves along a horizontal circle with constant angular velocity ω, as shown in the figure. The torque about the center (O) of the horizontal circle is:

The product ’P’ in the above reaction is:

A particle of mass \( m \) moves in one dimension under the action of a conservative force whose potential energy has the form \( U(x) = \frac{\alpha x}{x^2 + \beta^2} \), where \( \alpha \) and \( \beta \) are dimensional parameters. The angular frequency \( \omega \) of the oscillation is proportional to:

The equivalent weight of \(\text{Na}_2\text{S}_2\text{O}_3\) (Gram molecular weight = \(M\)) in the given reaction is:
\[\text{I}_2 + 2 \text{Na}_2\text{S}_2\text{O}_3 \rightarrow 2 \text{NaI} + \text{Na}_2\text{S}_4\text{O}_6\]

The correct acidity order of phenol (I), 4-hydroxybenzaldehyde (II), and 3-hydroxybenzaldehyde (III) is:

Ozonolysis of o-xylene produces:

The electric field of a plane electromagnetic wave in a medium is given by

where c is the speed of light in free space. E field is polarized in the x −z plane. The speed of the wave is v in the medium. Then:

Two convex lenses (\(L_1\) and \(L_2\)) of equal focal length \(f\) are placed at a distance \(\frac{f}{2}\) apart. An object is placed at a distance \(4f\) to the left of \(L_1\) as shown in the figure. The final image is at: