For an electrophilic substitution reaction,
Question: For an electrophilic substitution reaction, the presence of a halogen atom in the benzene ring _______. (i) deactivates the ring by the inductive effect (ii) deactivates the ring by resonance (iii) increases the charge density at ortho and para position relative to meta position by resonance (iv) directs the incoming electrophile to meta position by increasing the charge density relative to ortho and para position. Solution: Option (i) and (iii) are the answers....
Read More →Which are the correct IUPAC
Question: Which are the correct IUPAC names of the following compound? (i) 5 (2, 2Dimethylpropyl)-decane (ii) 4 Butyl 2,2 dimethylnonane (iii) 2,2 Dimethyl 4 pentyloctane (iv) 5 neo-Pentyldecane Solution: Option (i) and (iv) are the answers....
Read More →Which are the correct IUPAC
Question: Which are the correct IUPAC names of the following compound? (i) 5 Butyl 4 isopropyldecane (ii) 5 Ethyl 4 propyldecane (iii) 5 sec-Butyl 4 iso-propyldecane (iv) 4(1-methoxymethyl) 5 (1-methyl propyl)-decane Solution: Option (iii) and (iv) are the answers....
Read More →Find the equation of the line for which
Question: Find the equation of the line for which $p=2$ and $\propto=3000$ Solution: Given: p = 2 and = 3000 Here $p$ is the perpendicular that makes an angle $\propto$ with positive direction of $x$-axis, hence the equation of the straight line is given by: Formula used: $x \cos \alpha+y \sin \alpha=p$ $x \cos 3000+y \sin 3000=2$ i.e; $\cos 3000=\cos ((8 \times 360)+120)=\cos ((8 \times 2 \pi)+120)=\cos 120=\cos (180-60)=\cos 60$ similarly, $\sin 3000=\sin ((8 \times 360)+120)=\sin ((8 \times 2...
Read More →Which of the following alkenes
Question: Which of the following alkenes on ozonolysis give a mixture of ketones only? Solution: Option (iii) and (iv) are the answers....
Read More →Find the intervals in which the following functions are increasing or decreasing.
Question: Find the intervals in which the following functions are increasing or decreasing. $f(x)=\frac{3}{10} x^{4}-\frac{4}{5} x^{3}-3 x^{2}+\frac{36}{5} x+11$ Solution: Given:- Function $\mathrm{f}(\mathrm{x})=\frac{3}{10} \mathrm{x}^{4}-\frac{4}{5} \mathrm{x}^{3}-3 \mathrm{x}^{2}+\frac{36}{5} \mathrm{x}+11$ Theorem:- Let $f$ be a differentiable real function defined on an open interval $(a, b)$. (i) If $f^{\prime}(x)0$ for all $x \in(a, b)$, then $f(x)$ is increasing on $(a, b)$ (ii) If $f^{...
Read More →Multiple Choice Questions (Type-II)
Question: Multiple Choice Questions (Type-II) In the following questions, two or more options may be correct. Some oxidation reactions of methane are given below. Which of them is/are controlled oxidation reactions? (i) CH4 (g) + 2O2 (g) CO2 (g) + 2H2O (l) (ii) CH4 (g) + O2 (g) C (s) + 2H2O (l) (iii) CH4 (g) + O2 (g) (Mo O2 3) HCHO + H2O (iv) 2CH4 (g) + O2 (g) (Cu/523/100 atm) 2CH3OH Solution: Option (iii) and (iv) are the answers....
Read More →Find the equation of the line for which
Question: Find the equation of the line for which $p=3$ and $\propto=2250$ Solution: Given: $p=3$ and $\alpha=2250$ Here $p$ is the perpendicular that makes an angle $\propto$ with positive direction of $x$-axis, hence the equation of the straight line is given by: Formula used: $x \cos \alpha+y \sin \alpha=p$ $x \cos 2250+y \sin 2250=3$ i.e; $\cos 2250=\cos ((6 \times 360)+90)=\cos ((6 \times 2 \pi)+90)=\cos 90$ similarly, $\sin 2250=\sin ((6 \times 60)+90)=\sin ((6 \times 2 \pi)+90)=\sin 90$ h...
Read More →Arrange the following alkyl halides
Question: Arrange the following alkyl halides in decreasing order of the rate of elimination reaction with alcoholic KOH. (i) A B C (ii) C B A (iii) B C A (iv) A C B Solution: Option (iv) A C Bis the answer....
Read More →Find the equation of the line for which
Question: Find the equation of the line for which $p=8$ and $\alpha=1500$ Solution: Given: $p=8$ and $\alpha=1500$ Here $p$ is the perpendicular that makes an angle $\propto$ with positive direction of $x$-axis, hence the equation of the straight line is given by: Formula used: $x \cos \propto+y \sin \alpha=p$ $x \cos 1500+y \sin 1500=8$ i.e; $\cos 1500=\cos ((4 \times 360)+60)=\cos ((4 \times 2 \pi)+60)=\cos 60$ similarly, $\sin 1500=\sin ((4 \times 360)+60)=\sin ((4 \times 2 \pi)+60)=\sin 60$ ...
Read More →Find the equation of the line for which
Question: Find the equation of the line for which $p=5$ and $\propto=1350$ Solution: Given: p = 5 and = 1350 Here $p$ is the perpendicular that makes an angle $\propto$ with positive direction of $x$-axis, hence the equation of the straight line is given by: Formula used $x \cos \propto+y \sin \alpha=p$ $x \cos 1350+y \sin 1350=5$ i.e; $\cos 1350=\cos ((4 \times 360)-90)=\cos ((4 \times 2 \pi)-90)=\cos 90$ similarly, $\sin 1350=\sin ((4 \times 360)-90)=\sin ((4 \times 2 \pi)-90)=-\sin 90$ hence,...
Read More →Find the intervals in which the following functions are increasing or decreasing.
Question: Find the intervals in which the following functions are increasing or decreasing. Solution: Given:- Function $f(x)=2 x^{3}-24 x+7$ Theorem:- Let f be a differentiable real function defined on an open interval $(a, b)$. (i) If $f^{\prime}(x)0$ for all $x \in(a, b)$, then $f(x)$ is increasing on $(a, b)$ (ii) If $f^{\prime}(x)0$ for all $x \in(a, b)$, then $f(x)$ is decreasing on $(a, b)$ Algorithm:-' (i) Obtain the function and put it equal to $f(x)$ (ii) Find $f^{\prime}(x)$ (iii) Put ...
Read More →Find the intervals in which the following functions are increasing or decreasing.
Question: Find the intervals in which the following functions are increasing or decreasing. Solution: Given:- Function $f(x)=2 x^{3}-24 x+7$ Theorem:- Let f be a differentiable real function defined on an open interval $(a, b)$. (i) If $f^{\prime}(x)0$ for all $x \in(a, b)$, then $f(x)$ is increasing on $(a, b)$ (ii) If $f^{\prime}(x)0$ for all $x \in(a, b)$, then $f(x)$ is decreasing on $(a, b)$ Algorithm:-' (i) Obtain the function and put it equal to $f(x)$ (ii) Find $f^{\prime}(x)$ (iii) Put ...
Read More →Find the equation of the line for which
Question: Find the equation of the line for which p = 3 and = 450 Solution: To Find:The equation of the line. Given: $p=3$ and $\propto=450$ Here $p$ is the perpendicular that makes an angle $\propto$ with positive direction of $x$-axis, hence the equation of the straight line is given by: Formula used: $x \cos \alpha+y \sin \alpha=p$ $x \cos 450+y \sin 450=3$ i.e; $\cos 450=\cos (360+90)=\cos 90[\because \cos (360+x)=\cos x]$ similarly, $\sin 450=\sin (360+90)=\sin 90[\because \sin (360+x)=\sin...
Read More →Arrange the following carbanions
Question: Arrange the following carbanions in order of their decreasing stability. (A) H3C C C (B) H C C (C) H3C-CH2 (i) A B C (ii) B A C (iii) C B A (iv) C A B Solution: Option (ii)B A C is the answer....
Read More →Arrange the following hydrogen halides
Question: Arrange the following hydrogen halides in order of their decreasing reactivity with propane. (i) HCl HBr HI (ii) HBr HI HCl (iii) HI HBr HCl (iv) HCl HI HBr Solution: Option (iii)HI HBr HCl is the answer....
Read More →Prove that
Question: If the straight line $\frac{x}{a}+\frac{y}{b}=1$ passes through the points $(8,-9)$ and $(12,-15)$ find the values of a and b. Solution: To Find: The values of a and b when the line $\frac{x}{a}+\frac{y}{b}=1$ passes through the points (8, -9) and (12, -15). Given : the equation of the line $: \frac{x}{a}+\frac{y}{b}=1$ equation 1 Also (8, -9) passes through equation 1 $\frac{8}{a}-\frac{9}{b}=1$ 8b - 9a = ab equation 2 And (12, -15) passes through equation 1 $\frac{12}{a}-\frac{15}{b}...
Read More →Which of the following will not
Question: Which of the following will not show geometrical isomerism? Solution: Option (iv) is the answer....
Read More →Find the intervals in which the following functions are increasing or decreasing.
Question: Find the intervals in which the following functions are increasing or decreasing. $f(x)=x^{3}-12 x^{2}+36 x+17$ Solution: Given:- Function $f(x)=x^{3}-12 x^{2}+36 x+17$ Theorem:- Let $f$ be a differentiable real function defined on an open interval $(a, b)$. (i) If $f^{\prime}(x)0$ for all $x \in(a, b)$, then $f(x)$ is increasing on $(a, b)$ (ii) If $f^{\prime}(x)0$ for all $x \in(a, b)$, then $f(x)$ is decreasing on $(a, b)$ Algorithm:- (i) Obtain the function and put it equal to $f(x...
Read More →The addition of HBr to 1-butene
Question: The addition of HBr to 1-butene gives a mixture of products A, B and C The mixture consists of (i) A and B as major and C as minor products (ii) B as major, A and C as minor products (iii) B as minor, A and C as major products (iv) A and B as minor and C as major products Solution: Option (i)A and B as major and C as minor products is the answer....
Read More →The correct IUPAC name of
Question: The correct IUPAC name of the following alkane is (i) 3,6 Diethyl 2 methyl octane (ii) 5 Isopropyl 3 ethyloctane (iii) 3 Ethyl 5 isopropyloctane (iv) 3 Isopropyl 6 ethyloctane Solution: Option (i)3,6 Diethyl 2 methyl octane is the answer....
Read More →The increasing order of reduction
Question: The increasing order of reduction of alkyl halides with zinc and dilute HCl is (i) RCl RI RBr (ii) RCl RBr RI (iii) RI RBr RCl (iv) RBr RI RCl Solution: Option (ii)RCl RBr RI is the answer....
Read More →Find the intervals in which the following functions are increasing or decreasing.
Question: Find the intervals in which the following functions are increasing or decreasing. $f(x)=(x-1)(x-2)^{2}$ Solution: Given:- Function $f(x)=(x-1)(x-2)^{2}$ Theorem:- Let $f$ be a differentiable real function defined on an open interval $(a, b)$. (i) If $f^{\prime}(x)0$ for $a l l_{x} \in(a, b)$, then $f(x)$ is increasing on $(a, b)$ (ii) If $f^{\prime}(x)0$ for all $x \in(a, b)$, then $f(x)$ is decreasing on $(a, b)$ Algorithm:- (i) Obtain the function and put it equal to $f(x)$ (ii) Find...
Read More →Arrange the halogens F2 ,
Question: Arrange the halogens F2 , Cl2 , Br2 , I2 , in order of their increasing reactivity with alkanes. (i) I2 Br2 Cl2 F2 (ii) Br2 Cl2 F2 I2 (iii) F2 Cl2 Br2 I2 (iv) Br2 I2 Cl2 F2 Solution: Option (i)I2 Br2 Cl2 F2 is the answer....
Read More →Arrange the following in decreasing
Question: Arrange the following in decreasing order of their boiling points. (A) nbutane (B) 2methylbutane (C) n-pentane (D) 2,2dimethylpropane (i) A B C D (ii) B C D A (iii) D C B A (iv) C B D A Solution: Option (iv)C B D Ais the answer....
Read More →