MHT CET 2023 11TH MAY EVENING SHIFT

What is the pH of 0.005 M NaOH solution?

If \(\mathrm{A}\) and \(\mathrm{B}\) are two events such that \(\mathrm{P}(\mathrm{A})=\frac{1}{3}, \mathrm{P}(\mathrm{B})=\frac{1}{5}, \mathrm{P}(\mathrm{A} \cup \mathrm{B})=\frac{1}{3}\), then the value of \(\mathrm{P}\left(\mathrm{A}^{\prime} / \mathrm{B}^{\prime}\right)+\mathrm{P}\left(\mathrm{B}^{\prime} / \mathrm{A}^{\prime}\right)\) is

Two cars A and B start from a point at the same time in a straight line and their positions are represented by \(\mathrm{R}_{\mathrm{A}}(\mathrm{t})=\) at \(+\mathrm{bt}^2\) and \(\mathrm{R}_{\mathrm{B}}(\mathrm{t})=x \mathrm{t}-\mathrm{t}^2\). At what time do the cars have same velocity?

Which from following elements is isoelectronic with \(\mathrm{Na}^{+}\)?

Let a random variable \(\mathrm{X}\) have a Binomial distribution with mean 8 and variance 4. If \(\mathrm{P}(\mathrm{X} \leq 2)=\frac{\mathrm{K}}{2^{16}}\), then \(\mathrm{K}\) is

A ball kept at \(20 \mathrm{~m}\) height falls freely in vertically downward direction and hits the ground. The coefficient of restitution is 0.4. Velocity of the ball first rebound is \(\left[\mathrm{g}=10 \mathrm{~ms}^{-2}\right]\)