MHT CET 2023 12TH MAY MORNING SHIFT

What is the numerical value of spin only magnetic moment of copper in +2 state?

The p.m.f of random variate \(\mathrm{X}\) is \(P(X)= \begin{cases}\frac{2 x}{\mathrm{n}(\mathrm{n}+1)}, & x=1,2,3, \ldots \ldots, \mathrm{n} \\ 0, & \text { otherwise }\end{cases}\)

Then \(\mathrm{E}(\mathrm{X})=\)

A railway track is banked for a speed ',\(v\)' by elevating outer rail by a height '\(h\)' above the inner rail. The distance between two rails is 'd' then the radius of curvature of track is ( \(\mathrm{g}=\) gravitational acceleration)

A hot air balloon has volume of \(2000 \mathrm{~dm}^3\) at \(99^{\circ} \mathrm{C}\). What is the new volume if air in balloon cools to \(80^{\circ} \mathrm{C}\) ?

An experiment succeeds twice as often as it fails. Then the probability, that in the next 6 trials there will be atleast 4 successes, is

Two particles having mass '\(M\)' and '\(m\)' are moving in a circular path with radius '\(R\)' and '\(r\)' respectively. The time period for both the particles is same. The ratio of angular velocity of the first particle to the second particle will be