List of top Physics Questions asked in WBJEE

A person has a minimum distance of distinct vision of 50 cm. The power of lenses required to read a book at a distance of 25 cm is
The I-V characteristics graph shown below is exhibited by
A body initially at rest and sliding along a frictionless track from a height 'h' (as shown in figure) just completes a vertical circle of diameter AB = d. The height 'h' is equal to

The velocity \( v \) of a particle at time \( t \) is given by \( v = at + \frac{b}{t+c} \), where \( a \), \( b \) and \( c \) are constants. The dimension of \( a \), \( b \) and \( c \) are, respectively
The inputs to a digital circuit are as shown below. The output Y is

Two identical metal bars are heated in two different temperatures and allowed to cool in the same surroundings. Which one of the following figures correctly shows their cooling curves?
Three vectors \( \vec{a} \), \( \vec{b} \) and \( \vec{c} \) are such that \( |\vec{a}|=1 \), \( |\vec{b}|=2 \) and \( |\vec{c}|=4 \) along with \( (\vec{a} + \vec{b} + \vec{c}) = 0 \). Then, the value of \( 4\vec{a}\cdot\vec{b} + 3\vec{b}\cdot\vec{c} + 3\vec{c}\cdot\vec{a} \) will be
There is a ring of radius \( r \) having linear charge density \( \lambda \) and rotating with a uniform angular velocity \( \omega \). The magnitude of the magnetic field produced by this ring at its own centre would be (\( \mu_0 \)= permeability of air)
From a tower of height \( H \), a particle is thrown vertically upwards with a speed \( u \). The time taken by the particle to hit the ground is \( n \) times that taken by it to reach the highest point of its path. The relation between \( H \), \( u \) and \( n \) is
A uniform but time varying magnetic field is present in a circular region of radius 'R'. The magnetic field is perpendicular and into the plane of loop and the magnitude of field is increasing at a constant rate \( \alpha \). There is a straight conducting rod of length 2R placed as shown in figure. The magnitude of induced emf across the rod is

The equation of a transverse wave is \( y = y_0 \sin 2\pi\left(ft - \frac{x}{\lambda}\right) \). If the maximum particle velocity be four times that of wave velocity then
A simple pendulum of length \( l \) has a bob of mass \( m \), with a charge \( q \). On it a vertical sheet of charge with surface charge density \( \sigma \) passes through the point of suspension. At equilibrium, if the string makes an angle \( \theta \) with the vertical, then
A resistor of resistance 'R' draws power 'P' when connected to an AC source. If an inductance is now placed in series with R, such that the impedance of the circuit becomes 'Z', the power drawn will be
A square of side \( L \) lies in the \( x-y \) plane, where the magnetic field is given by \( \vec{B} = B_0(2\hat{i} + 3\hat{j} + 4\hat{k}) \) where \( B_0 \) is constant. The magnetic flux passing through the square is
A circular coil, carrying current, has radius \( R \). The distance from the centre of the coil on the axis where the magnetic induction will be \( \frac{1}{27}\text{th} \) of its value at the centre of the coil is
If a vector \( \vec{v} = 3\hat{i} \) is rotated in the \( x - z \) plane by an angle \( \theta \) with respect to \( x \)-axis in the clockwise direction, then for an observer at \( +y \) axis the vector will be
Density and volume of a body are given as \( (20\pm 4)\text{ gm/cm^3 \) and \( (10\pm 1)\text{ cm}^3 \) respectively. The absolute error in measurement of mass is}
Consider a fuse wire of length \( l \) and radius \( r \). The time of heating (\( t \)) for passing the maximum current will depend on
A plano-convex lens fits exactly into a plano-concave lens. Their plane surfaces are parallel to each other. If lenses are made of different materials of refractive indices \( \mu_1 \) and \( \mu_2 \) and \( R \) is the radius of curvature of the curved surface of the lenses, then the focal length of the combination is
Beyond what distance, the ray optics is sufficiently valid when the aperture is 6 mm wide and the wavelength is 6000 \AA?
A body of density '\( \rho \)' is dropped slowly on the surface of a lake of depth \( d \). If the density of the lake water be '\( \rho' \)' (\( \rho' < \rho \)) then the time taken by the body to reach the bottom of the lake is
If \[ (4^{\sec^{2}\alpha})x^{2}+2x+\left(\beta^{2}-\beta+\frac{1}{2}\right)=0 \] has real roots, then the value/value(s) of \[ (\cos\alpha+\cos^{-1}\beta) \] is/are:
If \(A_{1},A_{2},A_{3},\dots,A_{1006}\) be independent events such that \[ P(A_{i})=\frac{1}{2i}\quad (i=1,2,\dots,1006) \] and the probability that none of the events occurs be \[ \frac{\alpha!}{2^{\alpha}(\beta!)^{2}}, \] then:
The parabola \(y=4-x^{2}\) has vertex \(P\). It intersects the \(x\)-axis at \(A\) and \(B\). If the parabola is translated from its initial position to a new position by moving its vertex along the line \(y=x+4\), so that it intersects the \(x\)-axis at \(B\) and \(C\), then the abscissa of \(C\) will be:
Let \[ \vec{r}=\sin x(\vec{a}\times\vec{b})+\cos y(\vec{b}\times\vec{c})+2(\vec{c}\times\vec{a}), \] where \(\vec{a},\vec{b}\) and \(\vec{c}\) are three non-coplanar vectors. It is given that \(\vec{r}\) is perpendicular to \((\vec{a}+\vec{b}+\vec{c})\). Then the possible value(s) of \((x^{2}+y^{2})\) is/are: