MHT CET 2023 13TH MAY EVENING SHIFT

If \(0.01 \mathrm{~m}\) aqueous solution of an electrolyte freezes at \(-0.056 \mathrm{~K}\). Calculate van't Hoff factor for an electrolyte (cryoscopic constant of water \(=1.86 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}\) )

At a particular angular frequency, the reactance of capacitor and that of inductor is same. If the angular frequency is doubled, the ratio of the reactance of the capacitor to that of the inductor will be

A random variable \(X\) has the probability distribution

For the events \(E=\{X\) is a prime number \(\}\) and \(F=\{x<5\}, P(E U F)\) is

Calculate the wave number of photon emitted during transition from the orbit of \(n=3\) to \(n=2\) in hydrogen atom \(\left(R_H=109677 \mathrm{~cm}^{-1}\right)\).

Two bodies \(A\) and \(B\) start from the same point at the same instant and move along a straight line. body \(A\) moves with uniform acceleration \(a\) and body \(B\) moves with uniform velocity \(v\). They meet after time \(t\). The value of \(t\) is

Five students are selected from \(n\) students such that the ratio of number of ways in which 2 particular students are selected to the number of ways 2 particular students not selected is \(2: 3\). Then, the value of \(n\) is