The rate constants of the reaction at 100 K and 200 K are \(0.01 s^{-1}\) and \(0.02 s^{-1}\) respectively.
The value of activation energy ( \(E_a\) ) will be
\((\log 2=0.3010)\)

Read the passage carefully and answer the Questions
\(KMnO _4\) is prepared by the fusion of \(MnO _2\) with an alkali metal hydroxide and an oxidizing agent like \(KNO _3\) to give a dark-green manganate ion which disproportionate to give permanganate as follows.
\(\begin{array}{l}2 MnO _2+4 KOH + O _2 \rightarrow 2 K_2 MnO _4+2 H _2 O \\ 3 K_2 MnO _4+4 H ^{+} \rightarrow 2 KMnO _4+ MnO _2+2 H _2 O \end{array}\)
On heating \(K _2 MnO _4\) decomposes at 513 K to give \(K _2 MnO _4\). Permanganate ion is tetrahedral and diamagnetic
Acidified \(KMnO _4\) acts a strong oxidizing agent which oxidizes oxalic acid, ferrous ions, nitrite ion and iodides.
Reaction of iodide ion \(\left( I ^{-}\right)\)with \(KMnO _4\) will.....

Which among the following are correctly matched?
A. \(C_6H_5OCH_2CH_3\) - Phenetole
B. \(C_6H_5O(CH_2)_6CH_3\) - Heptyl phenyl ether
C. \(C_6H_5OCH_3\) - Dimethyl ether
D. \(C_2H_5OCH_2CH_3\) - Methyl ethyl ether
Choose the correct answer from the options given below:

Magnetic moment of first series of transition metal complexes is determined by ___________ .

Which among the following shows positive deviation from Raoult's law?

Which of the following will produce turbidity most readily when treated with conc. HCl in presence of anhydrous \(ZnCl _2\) (Lucas reagent)?

Elements of group-15, 16 and 17 form compounds with hydrogen with general formula MH3, \(H 2 M\) and HX (called hydrogen halides). Stability of these hydrides, along with M-H bond strength and basic nature decreases down the group. Boiling point of these hydrides mainly depends on the strength of their inter molecular forces.
Decreasing order of boiling point of group 15 hydrides is:
A. \(NH _3\)
B. \(PH _3\)
C. \(AsH _3\)
D. \(SbH _3\)
E. \(BiH _3\)
Choose the correct answer from the options given below:

Identify the product C in the following sequence of reactions.
\(\text{CH}_3 - \text{CH} = \text{CH} - \text{CH}_3 \xrightarrow{\text{O}_3} \text{A} \xrightarrow{\text{Zn/H}_2\text{O}} \text{B} \xrightarrow{\text{LiAlH}_4} \text{C}\)

Identify the correct statement about the electric charges \( q_1 \) and \( q_2 \) from the figure given below.

Monochromatic lights of wavelengths 620 nm and 626 nm, respectively are used to study diffraction at a single slit of aperture 0.7 mm. The distance between the slit and the screen is 1.8 m. The separation between the positions of the first maxima of the diffraction pattern obtained in the two cases is

In an AC circuit, the current leads the voltage by \(\pi / 2\). The circuit is :

Consider the two complex ions \(\text{[CoF}_6]^{3-}\) and \(\text{[Co(C}_2\text{O}_4)_3]^{3-}\), which of the following statement (s) is/are false :
(A) Both are octahedral.
(B) \(\text{[Co(C}_2\text{O}_4)_3]^{3-}\) is diamagnetic, while \(\text{[CoF}_6]^{3-}\) is paramagnetic.
(C) Both are outer orbital complexes.
(D) In both the complexes the central metal is in the same oxidation state.
Choose the correct answer from the options given below :

The corner points of the bounded feasible region associated with the LPP: Maximize \(Z=p x+q y, p, q>0\) are (0, 0), (3.5, 0), \(\left(\frac{112}{59}, \frac{135}{59}\right)\) and (0,3). If the optimum value of Z occurs at both \(\left(\frac{112}{59}, \frac{135}{59}\right)\) and (0,3), then