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Which one of the following molecules is expected to exhibit diamagnetic behaviour?

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Match List-I (Electromagnetic wave type) with List-II (Its association/application) and select the correct option from the choice given below the lists :

The standard Gibbs energy change at 300 K for the reaction $2A⇔B+C$ is $2494.2J.$ At a given time, the composition of the reaction mixture is $[A]=21 ,[B]=2and[C]=21 .$ The reaction proceeds in the : $[R=8.314J/K/mol,e=2.718]$

If g is the inverse of a function f and $f_{_{′}}(x)=1+x_{5}1 $then g(x) is equal to

If a piece of metal is heated to temperature $θ$ and then allowed to cool in a room which is at temperature $θ_{0}$ the graph between the temperature T of the metal and time t will be closest to :

Consider an ideal gas confined in an isolated closed chamber. As the gas undergoes an adiabatic expansion the average time of collision between molecules increases as $V_{q}$, where V is the volume of the gas. The value of q is : $(γ=C_{v}C_{p} )$

Four successive members of the first row transition elements are listed below with atomic numbers. Which one of them is expected to have the highest $E_{M_{3+}/M_{2+}}$ value ?

The set of all values of $λ$for which the system of linear equations : $2x_{1}−2x_{2}+x_{3}=λx_{1}$$2x_{1}−3x_{2}+2x_{3}=λx_{2}$$−x_{1}+2x_{2}=λx_{3}$has a non-trivial solution,

The integral $∫(x_{4}−1)_{41}dx $ equal: