MHT CET 2023 9TH MAY MORNING SHIFT

A buffer solution is prepared by mixing 0.2 M sodium acetate and 0.1 M acetic acid. If pK\(_a\) for acetic acid is 4.7, find the pH.

In a Binomial distribution with \(\mathrm{n}=4\), if \(2 \mathrm{P}(\mathrm{X}=3)=3 \mathrm{P}(\mathrm{X}=2)\), then the variance is

A stone is projected vertically upwards with speed '\(v\)'. Another stone of same mass is projected at an angle of \(60^{\circ}\) with the vertical with the same speed '\(v\)'. The ratio of their potential energies at the highest points of their journey is \(\left[\sin 30^{\circ}=\cos 60^{\circ}=0.5, \cos 30^{\circ}=\sin 60^{\circ}=\frac{\sqrt{3}}{2}\right]\)

What is the mass in gram of 1 atom of an element if its atomic mass is \(10 ~\mathrm{u}\) ?

If at the end of certain meeting, everyone had shaken hands with everyone else, it was found that 45 handshakes were exchanged, then the number of members present at the meeting, are

A body falls on a surface of coefficient of restitution 0.6 from a height of \(1 \mathrm{~m}\). Then the body rebounds to a height of