WB JEE 2024

Which of the following quantity has the dimension of length ?

(h is Planck's constant, m is the mass of electron and c is the velocity of light)

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

Let A be the set of even natural numbers that are < 8 & B be the set of prime integers that are \(<7\) The number of relations from A to B are

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 \(\mathrm{A}\) of the bowl will be [given, moment of inertia of sphere \(=\frac{2}{5} \mathrm{mr}^2\)]

At 25\(^\circ\)C, the ionic product of water is 10\(^{-14}\). The free energy change for the self-ionization of water in kCal mol\(^{-1}\) is close to

For the real numbers \(x\) & \(y\), we write \(x\) p y iff \(x-y+\sqrt{2}\) is an irrational number. Then relation p is