Which of the following statements is incorrect with respect to the plot of molar conductivity (\(\Lambda_m\)) versus square root of concentration (\(c^{1/2}\)) for electrolytes in solution?

Second most abundant element in alloy misch metal is :

Ultra pure silicon can be obtained by

Arrange the following compounds in the decreasing order of reactivity towards Sn1 reaction
(A) (Ph)3C-1
(B) (Ph)3C-Br
(C) (Ph)3C-Cl
(D) (Ph)3C-F
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Read the passage carefully and answer the questions
Amines are considered as derivatives of ammonia obtained by replacement of hydrogen atoms with alkyl or aryl groups. In nature they occur among proteins, vitamins, alkaloids and hormones. These can be primary, secondary or tertiary depending on the number of hydrogen groups replaced. They can be prepared from nitro compounds, alkyl halides, nitriles, amides etc. Due to unshared pair of electrons they behave as Lewis bases. Influence of the number of hydrogen atoms at nitrogen atom is displayed in physical properties such as solubility, boiling point and chemical reactions including basicity. Basic character of amines is expressed in terms of their \(K_b\) and \(p K_b\) values. Three classes of amines can be distinguished with p-toluene sulphonyl chloride which reacts with primary and secondary ddu amines. Amino group when attached to benzene ring behaves as an activating and ortho para directing group.
Which amine will have highest \(p K _{ b }\) value?

Identify the product ' \(X\) ' and ' \(Y\) ' in the following reaction.

The correct sequence of conductivity of the following materials at 300 K in the increasing order is
(A) Copper
(B) Graphite
(C) Germanium
(D) Silicon
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In an LCR circuit, which of the following expression has the dimension of frequency :

If \(f(x)=\left\{\begin{array}{ll}\frac{\tan \left(\frac{\pi}{4}-x\right)}{\cot 2 x}, & x \neq \frac{\pi}{4}, \\ 2 K+1, & x=\frac{\pi}{4},\end{array}\right.\) is continuous at \(x=\frac{\pi}{4}\), then the value of \(K\) is equal to

Arrange the range of frequencies of the following series of hydrogen atom in ascending order
(A) Balmer
(B) Lyman
(C) Paschen
(D) Bracket
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The osmotic pressure of a solution at 0°C is 2 atm. What will be its osmotic pressure at 819 K ?

Which of the following compounds will show highest acidic strength?

Let two independent random samples of sizes \(n_1\) and \(n_2\) respectively have been drawn from the same normal population. Let \(\overline{X_1}\) and \(\overline{X_2}\) be the means and let \(s_1\) and \(s_2\) be their standard deviations. In order to test whether the the two sample means \(\overline{X_1}\) and \(\overline{X_2}\) differ significantly or not, the \(t\)-test statistic is given by