What is the reagent used in Clemmensen reduction?

Among the following statements on the nitration of aromatic compounds, the false one is:

Based on their rate laws, arrange the following reactions in the decreasing sequence of the reaction order.
(A)Rate \(=k[A]^{3 / 2}[B]^{-1}\)
(B)Rate \(=k\left[ CHCl _3\right]\left[ Cl _2\right]^{1 / 2}\)
(C)Rate \(=k\left[ CH _3 COOC _2 H _5\right]\left[ H _2 O \right]^0\)
(D)Rate \(=k[A]^{1 / 2}[B]^{3 / 2}\)
Choose the correct answer from the options given below:

Match List-I with List-II

List-I  ( Sources)	List-II  (Vitamin name)
(A) Fish liver oil	(I) Vitamin C
(B) Citrus fruits	(II) Vitamin A
(C) Exposure to sunlight	(III) Vitamin \(B _{12}\)
(D) Curd	(IV) Vitamin D

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What is the common name of the given compound?

Question: The transition metal ion which is not coloured is:

Read the passage carefully and answer the questions
Nearly all the transition elements display typical metallic properties such as high tensile strength, ductility, malleability, high thermal and electrical conductivity and metallic lustre. The transition metals (with the exception of Zn, Cd and Hg) are very hard and have low volatility. Their melting and boiling points are high. They have high enthalpies of atomization. lons of the same charge in a given series show progressive decrease in radius with increasing atomic number. However, the variation within a series is quite small. The filling of 4f before 5d orbital results in a regular decrease in atomic radii called Lanthanoid contraction which essentially compensates for the expected increase in atomic size with increasing atomic number The net result of the lanthanoid contraction is that the second and the third d series exhibit similar radii (e.g., Zr 160 pm, Hf 159 pm) and have very similar physical and chemical properties. There is an increase in ionisation enthalpy along each series of the transition elements from left to right. The first ionisation enthalpy, in general, increases, but the magnitude of the increase in the second and third ionisation enthalpies for the successive elements, is much higher along a series. One of the notable features of a transition elements is the great variety of oxidation states these may show in their compounds.
In the first transition series of elements (Sc to Zn), which element show least enthalpy of atomization?

Consider the line \(\vec{r}=-2 \hat{i}+3 \hat{j}+\hat{k}+\lambda(5 \hat{i}-3 \hat{j}-\hat{k})\). Match List-I with List-II

List-I	List-II
(A) A point on the given line	(I) \(\left(\frac{5}{\sqrt{35}}, \frac{-3}{\sqrt{35}}, \frac{-1}{\sqrt{35}}\right)\)
(B) Direction ratios of the given line	(II) (2, 3, 1)
(C) Direction cosines of the given line	(III) (5, -3, -1)
(D) Direction ratios of a line perpendicular to given line	(IV) (-2, 3, 1)

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If the elementary column transformation \(C_1 \rightarrow 2 C_1\) is carried out on the following matrix equation.
\(\left[\begin{array}{ll}1 & 3 \\ 2 & 4\end{array}\right]\left[\begin{array}{cc}-1 & 2 \\ 5 & 0\end{array}\right]=\left[\begin{array}{ll}a & b \\ c & d\end{array}\right]\) Then the transformed equation will be:

Match List 1 with List 2.

List - 1 (Matrix)	List - 2 (Determinants)
(A) \(\operatorname{Matrix}(A)=\left[\begin{array}{cc}1 & 7 \\ -3 & 5\end{array}\right]\)	(I) 24
(B) \(\operatorname{Matrix}(B)=\left[\begin{array}{cc}-2 & 5 \\ -3 & -3\end{array}\right]\)	(II) 32
(C) \(\operatorname{Matrix}(C)=\left[\begin{array}{ll}-12 & 8 \\ -16 & 8\end{array}\right]\)	(III) 21
(D) \(\operatorname{Matrix}(C)=\left[\begin{array}{ll}-12 & 8 \\ -16 & 8\end{array}\right]\)	(IV) 26

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Time reversal test is satisfied by:

The energy equivalent of 10 g of substance is:

The corner points of the feasible region of the LPP: Minimize \(Z=-50 x+20 y\) subject to
\(2 x-y \geq-5,3 x+y \geq 3,2 x-3 y \leq 12\) and \(x, y \geq 0\) are: