MHT CET 2023 13TH MAY MORNING SHIFT

What is the change in oxidation number of selenium in the following redox reaction?

$$\mathrm{SeO}_{3(\text { (a) })}^{2-}+\mathrm{Cl}_{2(\mathrm{~g})}+2 \mathrm{OH}^{-} \longrightarrow \mathrm{SeO}_{4(\text { (a) })}^{2-}+2 \mathrm{Cl}_{(\text {(a) })}^{-}+\mathrm{H}_2 \mathrm{O}$$

The sides of a triangle are three consecutive natural numbers and its largest angle is twice the smallest one, then the sides of the triangle (in units) are

A radioactive sample has half-life of 5 years. The percentage of fraction decayed in 10 years will be

Calculate the work done in the following reaction at \(300 \mathrm{~K}\) and at constant pressure.

$$\left(\mathrm{R}=8.314 \mathrm{~J} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}\right)$$

$$4 \mathrm{HCl}_{(\mathrm{g})}+\mathrm{O}_{2(\mathrm{~g})} \rightarrow 2 \mathrm{Cl}_{2(\mathrm{~g})}+2 \mathrm{H}_2 \mathrm{O}_{(\mathrm{g})}$$

Five persons \(\mathrm{A}, \mathrm{B}, \mathrm{C}, \mathrm{D}\) and \(\mathrm{E}\) are seated in a circular arrangement. If each of them is given a cap of one of the three colours red, blue and green, then the number of ways of distributing the caps such that the persons seated in adjacent seats get different coloured caps, is

A large number of bullets are fired in all directions with same speed '\(U\)'. The maximum area on the ground on which the bullets will spread is