The velocity (\(v\)) – distance (\(x\)) graph is shown in the figure. Which graph represents acceleration (\(a\)) versus distance (\(x\)) variation of this system?
Given below are two statements regarding conformations of n-butane. Choose the correct option.
In the group analysis of cations, Ba$^{2+}$ & Ca$^{2+}$ are precipitated respectively as
$A \rightarrow D$ is an endothermic reaction occurring in three elementary steps: (i) $A \rightarrow B \quad \Delta H_i = +\text{ve}$ (ii) $B \rightarrow C \quad \Delta H_{ii} = -\text{ve}$ (iii) $C \rightarrow D \quad \Delta H_{iii} = -\text{ve}$ Which of the following graphs between potential energy (y-axis) versus reaction coordinate (x-axis) correctly represents the reaction profile of $A \rightarrow D$?
Let $(2\alpha,\alpha)$ be the largest interval in which the function \[ f(t)=\frac{|t+1|}{t^2},\; t<0 \] is strictly decreasing. Then the local maximum value of the function \[ g(x)=2\log_e(x-2)+\alpha x^2+4x-\alpha,\; x>2 \] is