List of top Questions asked in WBJEE- 2023

An amount of charge Q passes through a coil of resistance R.If the current in the coil decreases to zero at a uniform rate during time T, then the amount of heat generated in the coil will be,
The calculated spin-only magnetic moment values in BM for [FeCl4]- and [Fe(CN)6]3- are
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=3sin2π(−x3)y=3sin2\pi(-\frac{x}{3}). Then the expression for the displacement at a later time t=4 sec will be
Consider a quadratic equation ax2+2bx+c=0 where a,b,c are positive real numbers. If the equation has no real root, then which of the following is true?
The portion of the tangent to the curve x23^{\frac{2}{3}}+y23^{\frac{2}{3}}=a23^{\frac{2}{3}}, a>0 at any point of it, intercepted between the axes
The correct order of boiling points of N-ethylethanamine(I), ethoxyethane(II) and butan-2-ol(III) is
If I=∫x2dx(x sin x+cos x)2\frac{x^2dx}{(x\,sin\,x+cos\,x)^2}=f(x)+tan x+c, then f(x) is

Consider a positively charged infinite cylinder with uniform volume charge density ρ>0\rho>0. An electric dipole consisting of +Q and -Q charges attached to opposite ends of a massless rod is oriented as shown in the figure. At the instant as shown in the figure, the dipole will experience,

Three identical convex lenses each of focal length f are placed in a straight line separated by a distance f from each other. An object is located in f2\frac{f}{2} in front of the leftmost lens. Then,
Three identical convex lenses
The value of 'a' for which the scaler triple product formed by the vectors α⃗=i^+aj^+k^\vec\alpha=\hat{i}+a\hat{j}+\hat{k},  β⃗=j^+ak^\vec{\beta}=\hat{j}+a\hat{k}  and  γ⃗=ai^+k^\vec{\gamma}=a\hat{i}+\hat{k}  is maximum, is
If y=lognx, where logn means loge loge loge .....(repeated n times), then xlogx log2x log3x....log n-1 xlognx dydx\frac{dy}{dx} is equal to :

Let α,β be the roots of the equation, ax2+bx+c=0.a,b,c are real and sn=αn+βn and ∣31+s1 1+s21+s11+s2 1+s31+s21+s3 1+s4∣=k(a+b+c)2a4\begin{vmatrix}3 &1+s_1  &1+s_2\\1+s_1&1+s_2  &1+s_3\\1+s_2&1+s_3  &1+s_4\end{vmatrix}=\frac{k(a+b+c)^2}{a^4} then k=

In an experiment on a circuit, as shown in the figure, the voltmeter shows 8V reading. The resistance of the voltmeter is 
the voltmeter shows 8V reading
A charged particle in a uniform magnetic field B⃗=B0k^\vec{B}=B_0\hat{k} starts moving from the origin with velocity v=3i^+4k^v=3\hat{i}+4\hat{k} m/s.The trajectory of the particle and the time tt at which it reaches 2m above the x-y plane are 
A given quantity of gas is taken from A to C in two ways; a) directly from A→\rightarrowC along a straight line and b) in two steps, from A→\rightarrowB and then from B→\rightarrowC.Work done and heat absorbed along the direct path A→\rightarrowC are 200J and 280J respectively. If the work done along A→\rightarrowB→\rightarrowC is 80J, then heat absorbed along the path is,
A given quantity of gas is taken from A to C
If z1 and z2 are two complex numbers satisfying the equation∣z1+z2z1−z2∣=1|\frac{z_1+z_2}{z_1-z_2}|=1, then z1z2\frac{z_1}{z_2} may be
A train is moving along the tracks at a constant speed u. A girl on the train throws a ball of mass m straight ahead along the direction of motion of the train with speed v with respect to herself. Then,
Let x be a nonvoid set.If ρ1 and ρ2 be the transitive relations of x, then-(° denotes the compositions of relations )
In the given circuit, find the voltage drop VL in the load resistance RL
circuit
In an experiment, the length of an object is measured to be 6.50 cm. This measured value can be written as 0.0650 m.The number of significant figures on 0.0650m is
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
The figure shows two identical parallel plate capacitors A and B of capacitances C connected to a battery. The key K is initially closed. The switch is now opened and the free spaces between the plates of the capacitors are filled with a dielectric constant 3. Then which of the following statement(s) is/are true?
two identical parallel plate capacitors
A thin glass rod is bent in a semicircle of radius R.A charge is non-uniformly distributed along the rod with a linear charge density λ=λ0sinθ\lambda=\lambda_0sin\theta (λ0\lambda_0 is a positive constant). The electric field at the center P of the semicircle is 
A body of mass 2 kg moves in a horizontal circular path of radius 5m. In an instant its speed is 252\sqrt5 m/s and is increasing at the rate of 3 m/s2.The magnitude of the force acting on the body at the instant is,
A mouse of mass m jumps on the outside edge of a rotating ceiling fan of the moment of inertia l and radius R. The frictionless loss of angular velocity of the fan as a result is,