MHT CET 2023 14TH MAY EVENING SHIFT

An organic monobasic acid has dissociation constant \(2.25 \times 10^{-6}\). What is percent dissociation in its \(0.01 \mathrm{~M}\) solution?

The p.m.f. of a random variable \(\mathrm{X}\) is \(\mathrm{P}(x)=\left\{\begin{array}{cl}\frac{2 x}{\mathrm{n}(\mathrm{n}+1)}, & x=1,2,3, \ldots \mathrm{n} \\ 0, & \text { otherwise }\end{array}\right.\), then \(\mathrm{E}(\mathrm{X})\) is

A mass '\(M\)' is moving with constant velocity parallel to \(\mathrm{X}\)-axis. Its angular momentum with respect to the origin is

Calculate the frequency if wavelength is \(750 \mathrm{~nm}\).

There are 6 positive and 8 negative numbers. From these four numbers are chosen at random and multiplied. Then the probability, that the product is a negative number, is

The position '\(x\)' of a particle varies with a time as \(x=a t^2-b t^3\) where '\(a\)' and '\(b\)' are constants. The acceleration of the particle will be zero at