Through which of the number of the following
Question: Through which of the number of the following reactions of carbon atoms can be increased in the chain? (i) Grignard reaction (ii)Grignard reaction (iii) Aldol condensation (iv) HVZ reaction Solution: Option (i)Grignard reaction and (iii)Aldol condensationare the answers....
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Question: Mark () against the correct answer in the following: Let $f(x)=\log (1-x)+\sqrt{x}^{2}-1 .$ Then, $\operatorname{dom}(f)=?$ A. $(1, \infty)$ B. $(-\infty,-1]$ C. $[-1,1)$ D. $(0,1)$ Solution: $\left.\log (1-x)+\sqrt{(} x^{2}-1\right)$ $1-x0$ $x1$ $x^{2}-1 \geq 0$ $x^{2} \geq 1$ $\Rightarrow-1 \leq x \geq 1$ Taking intersection of the ranges we get Dom $(f)=(b)(-\infty,-1]$...
Read More →Which of the following conversions can
Question: Which of the following conversions can be carried out by Clemmensen Reduction? (i) Benzaldehyde into benzyl alcohol (ii) Cyclohexanone into cyclohexane (iii) Benzoyl chloride into benzaldehyde (iv) Benzophenone into diphenylmethane Solution: Option (ii) and (iv) are the answers....
Read More →Treatment of compound with
Question: Treatment of compound with $\mathrm{NaOH}$ solution yields (i) Phenol (ii) Sodium phenoxide (iii) Sodium benzoate (iv) Benzophenone Solution: Option (ii)Sodium phenoxide and (iii)Sodium benzoate are the answers....
Read More →Which of the following compounds do
Question: Which of the following compounds do not undergo aldol condensation? Solution: Option (ii) and (iv) are the answers....
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Question: Mark () against the correct answer in the following: Let $f(x)=x^{3}$. Then, dom (f) and range (f) are respectively A. R and R B. $R^{+}$and $R^{+}$ C. $R$ and $R^{+}$ D. $R^{+}$and $R$ Solution: According to sketched graph of $x^{3}$ Domain of $f(x)=R$ And Range of $f(x)=R$ Since $x^{3}$ is $a$, monotonically increasing function...
Read More →In Clemmensen Reduction carbonyl compound
Question: In Clemmensen Reduction carbonyl compound is treated with _____________. (i) Zinc amalgam + HCl (ii) Sodium amalgam + HCl (iii) Zinc amalgam + nitric acid (iv) Sodium amalgam + HNO3 Solution: Option (i)Zinc amalgam + HCl is the answer....
Read More →Which of the following compounds will give butanone
Question: Which of the following compounds will give butanone on oxidation with alkaline KMnO4 solution? (i) Butan-1-ol (ii) Butan-2-ol (iii) Both of these (iv) None of these Solution: Option (ii)Butan-2-ol is the answer....
Read More →Evaluate the following integrals -
Question: Evaluate the following integrals - $\int(x-3) \sqrt{x^{2}+3 x-18} d x$ Solution: Let $I=\int(x-3) \sqrt{x^{2}+3 x-18} d x$ Let us assume $x-3=\lambda \frac{d}{d x}\left(x^{2}+3 x-18\right)+\mu$ $\Rightarrow x-3=\lambda\left[\frac{d}{d x}\left(x^{2}\right)+\frac{d}{d x}(3 x)-\frac{d}{d x}(18)\right]+\mu$ $\Rightarrow x-3=\lambda\left[\frac{d}{d x}\left(x^{2}\right)+3 \frac{d}{d x}(x)-\frac{d}{d x}(18)\right]+\mu$ We know $\frac{\mathrm{d}}{\mathrm{dx}}\left(\mathrm{x}^{\mathrm{n}}\right...
Read More →Which is the most suitable reagent for
Question: Which is the most suitable reagent for the following conversion? (i) Tollens reagent (ii) Benzoyl peroxide (iii) I2 and NaOH solution (iv) Sn and NaOH solution Solution: Option (iii)I2 and NaOH solution is the answer....
Read More →Compounds A and C in the following
Question: Compounds A and C in the following reaction are____________. (i) identical (ii) positional isomers (iii) functional isomers (iv) optical isomers Solution: Option (ii)positional isomers is the answer....
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Question: Mark () against the correct answer in the following: Let $f(x)=x^{2}$. Then, dom (f) and range (f) are respectively. A. $R$ and $R$ B. $R^{+}$and $R^{+}$ C. $R$ and $R$ + D. $R$ and $R-\{0\}$ Solution: According to sketched graph of $x^{2}$ Domain of $f(x)=R$ And Range of $f(x)=R^{+}$...
Read More →Prove the following
Question: Structure of A and type of isomerism in the above reaction are respectively. (i) Prop1en2ol, metamerism (ii) Prop-1-en-1-ol, tautomerism (iii) Prop-2-en-2-ol, geometrical isomerism (iv) Prop-1-en-2-ol, tautomerism Solution: Option (iv)Prop-1-en-2-ol, tautomerism is the answer....
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Question: Mark () against the correct answer in the following: Let $f(x)=\sqrt{\log }\left(2 x-x^{2}\right) .$ Then, dom $(f)=?$ A. $(0,2)$ B. $[1,2]$ C. $(-\infty, 1]$ D. None of these Solution: $f(x)=\sqrt{\log }\left(2 x-x^{2}\right)$ $2 x-x^{2}1$ $\Rightarrow x^{2}-2 x+10$ $\Rightarrow(x-1)^{2}0$ $\Rightarrow x-10$ $\Rightarrow x1$ $\log \left(2 x-x^{2}\right)0$ $\Rightarrow 2 x-x^{2}e^{0}=1$ $\Rightarrow x1$ $\operatorname{Dom}(f)=(-\infty, 1)$...
Read More →Which product is formed
Question: Which product is formed when the compound is treated with concentrated aqueous KOH solution? Solution: Option (ii) is the answer....
Read More →Cannizaro’s reaction is not given
Question: Cannizaros reaction is not given by _____________. Solution: Option (iv) is the answer....
Read More →The reagent which does not react with both,
Question: The reagent which does not react with both, acetone and benzaldehyde. (i) Sodium hydrogen sulphite (ii) Phenyl hydrazine (iii) Fehlings solution (iv) Grignard reagent Solution: Option (iii)Fehlings solution is the answer....
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Question: Mark () against the correct answer in the following: Let $f(x)=\sqrt{\cos x}$. Then, dom $(f)=?$ A. $\left[0, \frac{\pi}{2}\right]$ B. $\left[\frac{3 \pi}{2}, 2 \pi\right]$ C. $\left[0, \frac{\pi}{2}\right] \cup\left[\frac{3 \pi}{2}, 2 \pi\right]$ D. none of these Solution: $f(x)=\sqrt{\cos x}$ As per the diagram We can imply that domain of $\sqrt{\cos x}$ is $\left[0, \frac{\pi}{2}\right]\left[\frac{3 \pi}{2}, 2 \pi\right]$...
Read More →Compound can be prepared by
Question: Compound can be prepared by the reaction of _____________. (i) Phenol and benzoic acid in the presence of NaOH (ii) Phenol and benzoyl chloride in the presence of pyridine (iii) Phenol and benzoyl chloride in the presence of ZnCl2 (iv) Phenol and benzaldehyde in the presence of palladium Solution: Option (ii)Phenol and benzoyl chloride in the presence of pyridineis the answer....
Read More →The correct order of increasing acidic strength
Question: The correct order of increasing acidic strength is _____________. (i) Phenol Ethanol Chloroacetic acid Acetic acid (ii) Ethanol Phenol Chloroacetic acid Acetic acid (iii) Ethanol Phenol Acetic acid Chloroacetic acid (iv) Chloroacetic acid Acetic acid Phenol Ethanol Solution: Option (iii)Ethanol Phenol Acetic acid Chloroacetic acidis the answer....
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Question: Mark () against the correct answer in the following:. Let $f(x)=\cos ^{-1}(3 x-1) .$ Then, dom $(f)=?$ A. $\left(0, \frac{2}{3}\right)$ B. $\left[0, \frac{2}{3}\right]$ C. $\left[\frac{-2}{3}, \frac{2}{3}\right]$ D. None of these Solution: $f(x)=\cos ^{-1}(3 x-1)$ domain of $\cos ^{-1} x=[-1,1]$ on multiplying by an integer the domain decreases by same number $\Rightarrow$ domain of $\cos ^{-1} 3 x=[-1 / 3,1 / 3]$ $\Rightarrow$ domain of $\cos ^{-1}(3 x-1)=[1 / 3-1 / 3,1 / 3+1 / 3]=[0,...
Read More →Which of the following compounds is most reactive
Question: Which of the following compounds is most reactive towards nucleophilic addition reactions? Solution: Option (i) is the answer....
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Question: Mark () against the correct answer in the following: Let $f(x)=\cos ^{-1} 2 x .$ Then, dom $(f)=?$ A. $[-1,1]$ B. $\left[\frac{-1}{2}, \frac{1}{2}\right]$ C. $\left[\frac{-\pi}{2}, \frac{\pi}{2}\right]$ D. $\left[\frac{-\pi}{4}, \frac{\pi}{4}\right]$ Solution: $f(x)=\cos ^{-1} 2 x$ domain of $\cos ^{-1} x=[-1,1]$ on multiplying by an integer the domain decreases by same number $\Rightarrow$ domain of $\cos ^{-1} 2 x=[-1 / 2,1 / 2]$...
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Question: Mark () against the correct answer in the following: Let $f(x)=\frac{\sin ^{-1} x}{x} .$ Then, dom $(f)=?$ A. $(-1,1)$ B. $[-1,1]$ C. $[-1,1]-\{0\}$ D. none of these Solution: Given: $f(x)=\frac{\sin ^{-1} x}{x}$ From f(x), x 0 Now, domain of $\sin ^{-1} x$ is $[-1,1]$ as the values of $\sin ^{-1} x$ lies between $-1$ and 1 . We can see that from this graph: Domain of $f(x)=[-1,1]-0$ Hence, B is the correct answer....
Read More →Mark (√) against the correct answer in the following:
Question: Mark () against the correct answer in the following: Let $f(x)=\frac{x}{\left(x^{2}-1\right)} \cdot$ Then, dom $(f)=?$ A. R B. $R-\{1\}$ C. $R-\{-1\}$ D. $R-\{-1,1\}$ Solution: $f(x)=\frac{x}{x^{2}-1}$ $x^{2}-1 \neq 0$ $x \neq(1,-1)$ $\therefore \operatorname{Dom}(f)=\mathrm{R}-\{-1,1\}$...
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