MHT CET 2023 12TH MAY EVENING SHIFT

A buffer solution is prepared by mixing \(0.01 \mathrm{~M}\) weak acid and \(0.05 \mathrm{~M}\) solution of a salt of weak acid and strong base. What is the \(\mathrm{pH}\) of buffer solution? \((\mathrm{pKa}=4.74)\)

One of the slits in Young's double slit experiment is covered with a transparent sheet of thickness \(2.9 \times 10^{-3} \mathrm{~cm}\). The central fringe shifts to a position originally occupied by the \(25^{\text {th }}\) bright fringe. If \(\lambda=5800\) \(\mathop A\limits^o\), the refractive index of the sheet is

An irregular six faced die is thrown and the probability that, in 5 throws it will give 3 even numbers is twice the probability that it will give 2 even numbers. The number of times, in 6804 sets of 5 throws, you expect to give no even number is

Which from following coloured light has the highest energy?

A particle is moving in a circle with uniform speed '\(v\)'. In moving from a point to another diametrically opposite point

Three fair coins with faces numbered 1 and 0 are tossed simultaneously. Then variance (X) of the probability distribution of random variable \(\mathrm{X}\), where \(\mathrm{X}\) is the sum of numbers on the upper most faces, is