GATE CY 2011 Question Paper (13-Feb-2011) (Shift-2)

In the following reaction



the major product [X] is

For a given first order reaction, the reactant reduces to $1/4^{th}$ its initial value in 10 minutes. The rate constant of the reaction is

The freezing point constant for water is $1.86{\text{ K (mol kg}}^{-1}{)}^{-1}$. The change in freezing point when $0.01\text{ mol glucose}$ is added to $1\text{ kg water}$ is

On the pressure-temperature diagram for a one-component system, the point where the solid-liquid and the liquid-gas curves intersect is

The wave function for a Harmonic oscillator described by $Nxexp(-a{x}^2/2)$ has