Solve this following
Question: Let $f:[0, \infty) \rightarrow[0,3]$ be a function defined by $f(\mathrm{x})= \begin{cases}\max \{\sin \mathrm{t}: 0 \leq \mathrm{t} \leq \mathrm{x}\}, 0 \leq \mathrm{x} \leq \pi \\ 2+\cos \mathrm{x}, \mathrm{x}\pi\end{cases}$ Then which of the following is true? $f$ is continuous everywhere but not differentiable exactly at one point in $(0, \infty)$$f$ is differentiable everywhere in $(0, \infty)$$f$ is not continuous exactly at two points in $(0, \infty)$$f$ is continuous everywhere...
Read More →Given below are two statements :
Question: Given below are two statements : Statement I : The identification of $\mathrm{Ni}^{2+}$ is carried out by dimethyl glyoxime in the presence of $\mathrm{NH}_{4} \mathrm{OH}$. Statement II : The dimethyl glyoxime is a bidentate neutral ligand. In the light of the above statements, choose the correct answer from the options given below:Statement I is false but Statement II is true.Both Statement I and Statement II are false.Statement I is true but Statement II is false.Both Statement I an...
Read More →Consider the following reaction
Question: Consider the following reaction $\mathrm{MnO}_{4}^{-}+8 \mathrm{H}^{+}+5 \mathrm{e}^{-} \rightarrow \mathrm{Mn}^{2+}+4 \mathrm{H}_{2} \mathrm{O}, \mathrm{E}^{\mathrm{o}}=1.51 \mathrm{~V}$ The quantity of electricity required in Faraday to reduce five moles of $\mathrm{MnO}_{4}^{-}$is________. Solution: Official Ans. by NTA (25)...
Read More →A proton and a Li3+ nucleus are accelerated by the same potential.
Question: A proton and a $\mathrm{Li}^{3+}$ nucleus are accelerated by the same potential. If $\lambda_{\mathrm{Li}}$ and $\lambda_{\mathrm{P}}$ denote the de Broglie wavelengths of $\mathrm{Li}^{3+}$ and proton respectively, then the value of $\frac{\lambda_{\mathrm{L}}}{\lambda_{\mathrm{p}}}$ is $\times \times 10^{-}$1. The value of $\mathrm{x}$ is (Rounded off to the nearest integer) (Mass of $\mathrm{Li}^{3+}=8.3$ mass of proton) Solution: $\lambda=\frac{\mathrm{h}}{\sqrt{2 \mathrm{mqV}}}$ $...
Read More →The solubility of
Question: The solubility of $\mathrm{Ca}(\mathrm{OH})_{2}$ in water is : [Given : The solubility product of $\mathrm{Ca}(\mathrm{OH})_{2}$ in water $=5.5 \times 10^{-6}$ ]$1.77 \times 10^{-6}$$1.11 \times 10^{-6}$$1.11 \times 10^{-2}$$1.77 \times 10^{-2}$Correct Option: , 3 Solution: $\mathrm{k}_{\mathrm{sp}}=\mathrm{s}(2 \mathrm{~s})^{2} \Rightarrow 5.5 \times 10^{-6}=4 \mathrm{~S}^{3}$ $\Rightarrow \mathrm{s}=\left(\frac{5.5}{4}\right)^{\frac{1}{3}} \times 10^{-2}=1.11 \times 10^{-2}$...
Read More →An exothermic reaction X → Y has an
Question: An exothermic reaction $X \rightarrow Y$ has an activation energy $30 \mathrm{~kJ} \mathrm{~mol}^{-1}$. If energy change $\Delta \mathrm{E}$ during the reaction is $-20 \mathrm{~kJ}$, then the activation energy for the reverse reaction in $\mathrm{kJ}$ is______. Solution: $\mathrm{X} \longrightarrow \mathrm{Y}$...
Read More →Solve this following
Question: Let $\alpha=\max _{x \in \mathbf{R}}\left\{8^{2 \sin 3 x} \cdot 4^{4 \cos 3 x}\right\}$ and $\beta=\min _{x \in \mathbb{R}}\left\{8^{2 \sin 3 x} \cdot 4^{4 \cos 3 x}\right\} .$ If $8 x^{2}+b x+c=0$ is a quadratic equation whose roots are $\alpha^{1 / 5}$ and $\beta^{1 / 5}$, then the value of $\mathrm{c}-\mathrm{b}$ is equal to : 42474350Correct Option: 1 Solution: $\alpha=\max \left\{8^{2 \sin 3 x} \cdot 4^{4 \cos 3 x}\right\}$ $=\max \left\{2^{6 \sin 3 x} \cdot 2^{8 \cos 3 x}\right\}...
Read More →Which one of the following statements
Question: Which one of the following statements is FALSE for hydrophilic sols?Their viscosity is of the order of that of $\mathrm{H}_{2} \mathrm{O}$.The sols cannot be easily coagulated.They do not require electrolytes for stability.These sols are reversible in nature.Correct Option: 1 Solution: $\rightarrow$ Viscosity of hydrophilic sol $$ viscosity of $\mathrm{H}_{2} \mathrm{O}$ $\rightarrow$ Hydrophilic sol is more stable so can't be easily coagulated. $\rightarrow$ Hydrophilic sols are rever...
Read More →For the reaction A(g) →(B)(g),
Question: For the reaction $A_{(g)} \rightarrow(B)_{(g)}$, the value of the equilibrium constant at $300 \mathrm{~K}$ and $1 \mathrm{~atm}$ is equal to $100.0$. The value of $\Delta_{\mathrm{r}} \mathrm{G}$ for the reaction at $300 \mathrm{~K}$ and $1 \mathrm{~atm}$ in $\mathrm{J} \mathrm{mol}^{-1}$ is $-\mathrm{xR}$, where $\mathrm{x}$ is__________ (Rounded of to the nearest integer) $\left(\mathrm{R}=8.31 \mathrm{~J} \mathrm{~mol}^{-1} \mathrm{~K}^{-1}\right.$ and $\left.\ln 10=2.3\right)$ Sol...
Read More →The number of significant figures in
Question: The number of significant figures in $50000.020 \times 10^{-3}$ is__________. Solution: $\underline{50000.020} \times 10^{-3}$...
Read More →Which of the following compound
Question: Which of the following compound is added to the sodium extract before addition of silver nitrate for testing of halogens?Nitric acidAmmoniaHydrochloric acidSodium hydroxideCorrect Option: 1 Solution: For testing of halogens, Nitric acid is added to the sodium extract because if $\mathrm{CN}^{-}$or $\mathrm{S}^{2-}$ are present then they will be oxidised and removed before the test of halides....
Read More →Solve this following
Question: Two sides of a parallelogram are along the lines $4 x+5 y=0$ and $7 x+2 y=0 .$ If the equation of one of the diagonals of the parallelogram is $11 x+7 y=9$, then other diagonal passes through the point: $(1,2)$(2,2)(2,1)(1,3)Correct Option: , 2 Solution: Both the lines pass through origin. point $D$ is equal of intersection of $4 x+5 y=0 \$ $11 x+7 y=9$ So, coordinates of point $\mathrm{D}=\left(\frac{5}{3},-\frac{4}{3}\right)$ Also, point B is point of intersection of $7 x+2 y=0$ $\ 1...
Read More →In which of the following order
Question: In which of the following order the given complex ions are arranged correctly with respect to their decreasing spin only magnetic moment ? $\left[\mathrm{FeF}_{6}\right]^{3-}$ $\left[\mathrm{Co}\left(\mathrm{NH}_{3}\right)_{6}\right]^{3+}$ $\left[\mathrm{NiCl}_{4}\right]^{2-}$ $\left[\mathrm{Cu}\left(\mathrm{NH}_{3}\right)_{4}\right]^{2+}$(i) $($ iii $)($ iv $)($ ii $)$(ii) $$ (iii) $$ (i) $$ (iv)(iii) $$ (iv) $$ (ii) $$ (i)(ii) $$ (i) $$ (iii) $$ (iv)Correct Option: 1 Solution: Comple...
Read More →For a chemical reaction A + B ⇌ C + D
Question: For a chemical reaction $\mathrm{A}+\mathrm{B} \rightleftharpoons \mathrm{C}+\mathrm{D}$ $\left(\Delta_{\mathrm{r}} \mathrm{H}^{0}=80 \mathrm{~kJ} \mathrm{~mol}^{-1}\right)$ the entropy change $\Delta_{\mathrm{r}} \mathrm{S}^{0}$ depends on the temperature $T$ (in $K$ ) as $\left(\Delta_{r} S^{0}=2 T\left(J K^{-1} \mathrm{~mol}^{-1}\right)\right.$ Minimum temperature at which it will become spontaneous is_______ K.(Integer) Solution: $\Delta \mathrm{G}^{0}=\Delta \mathrm{H}^{0}-\mathrm...
Read More →The reaction of sulphur in alkaline medium is the below:
Question: The reaction of sulphur in alkaline medium is the below: $\mathrm{S}_{8(\mathrm{~s})}+\mathrm{a} \mathrm{OH}_{(\mathrm{aq})}^{-} \rightarrow \mathrm{b} \mathrm{S}^{2-}_{(\mathrm{aq})}+\mathrm{c} \mathrm{S}_{2} \mathrm{O}_{3}{ }^{2-}{ }_{(\mathrm{aq})}+\mathrm{d} \mathrm{H}_{2} \mathrm{O}_{(\ell)}$ The values of 'a' is (Integer answer) Solution: for balancing in basic medium add equal number of $\mathrm{OH}^{\ominus}$ that of $\mathrm{H}^{+}$ $2 \mathrm{~S}_{8}+12 \mathrm{H}_{2} \mathrm...
Read More →The major components
Question: The major components of German Silver are :$\mathrm{Ge}, \mathrm{Cu}$ and $\mathrm{Ag}$$\mathrm{Zn}, \mathrm{Ni}$ and $\mathrm{Ag}$$\mathrm{Cu}, \mathrm{Zn}$ and $\mathrm{Ni}$$\mathrm{Cu}, \mathrm{Zn}$ and $\mathrm{Ag}$Correct Option: , 3 Solution: Major components of German silver are: $\begin{array}{ccc}\mathrm{Cu}, \mathrm{Zn}, \mathrm{Ni} \\ (50 \%) (30 \%) (20 \%)\end{array}$...
Read More →An amine on reaction with benzenesulphonyl chloride produces
Question: An amine on reaction with benzenesulphonyl chloride produces a compound insoluble in alkaline solution. This amine can be prepared by ammonolysis of ethyl chloride. The correct structure of amine is :$\mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{NH}_{2}$$\mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{CH}_{2} \mathrm{NHCH}_{3}$Correct Option: , 4 Solution: It has to be $2^{\circ}$ amine because on reaction with benzene sulphonylchloride it gives water in soluble product. As it is formed by ammonoly...
Read More →Number of amphoteric compound among the following is __________
Question: Number of amphoteric compound among the following is __________(A) $\mathrm{BeO}$(B) $\mathrm{BaO}$(C) $\mathrm{Be}(\mathrm{OH})_{2}$(D) $\mathrm{Sr}(\mathrm{OH})_{2}$Correct Option: , 2 Solution: Both compounds $\mathrm{BeO}$ and $\mathrm{Be}(\mathrm{OH})_{2}$ are amphoteric in nature. and both compounds $\mathrm{BaO}$ and $\mathrm{Sr}(\mathrm{OH})_{2}$ are basic in nature....
Read More →For the given reaction:
Question: For the given reaction: Correct Option: , 3 Solution:...
Read More →Given below are two statements:
Question: Given below are two statements: Statement I : The $\mathrm{pH}$ of rain water is normally $\sim 5.6$. Statement II : If the $\mathrm{pH}$ of rain water drops below $5.6$, it is called acid rain. In the light of the above statements, choose the correct answer from the options given below:Statement I is true but Statement II is false.Both Statement I and Statement II are false.Statement I is false but Statement II is true.Both Statement I and Statement II are true.Correct Option: , 4 Sol...
Read More →Solve this following
Question: The value of $\lim _{x \rightarrow 0}\left(\frac{x}{\sqrt[8]{1-\sin x}-\sqrt[8]{1+\sin x}}\right)$ is equal to: 04$-4$$-1$Correct Option: 3, Solution: $\lim _{x \rightarrow 0}\left(\frac{x}{\sqrt[8]{1-\sin x}-\sqrt[8]{1+\sin x}}\right)$ $=\lim _{x \rightarrow 0}\left(\frac{x}{\sqrt[8]{1-\sin x}-\sqrt[8]{1+\sin x}}\right)$ $=\lim _{x \rightarrow 0}\left(\frac{x}{\sqrt[8]{1-\sin x}-\sqrt[8]{1+\sin x}}\right)$ $\left(\frac{(\sqrt[8]{1-\sin x}+\sqrt[8]{1+\sin x})}{\sqrt[8]{1-\sin x}+\sqrt[...
Read More →Given below are two statements :
Question: Given below are two statements : Statement I : o-Nitrophenol is steam volatile due to intramolecular hydrogen bonding. Statement II : o-Nitrophenol has high melting due to hydrogen bonding. In the light of the above statements, choose the most appropriate answer from the options given below:Statement I is false but Statement II is trueBoth statement I and statement II are trueBoth statement I and statement II are falseStatement I is true but statement II is falseCorrect Option: , 4 Sol...
Read More →At 1990 K and 1 atm pressure, there are equal number
Question: At $1990 \mathrm{~K}$ and $1 \mathrm{~atm}$ pressure, there are equal number of $\mathrm{Cl}_{2}$ molecules and $\mathrm{Cl}$ atoms in the reaction mixture. The value $\mathrm{K}_{\mathrm{P}}$ for the reaction $\mathrm{Cl}_{2(\mathrm{~g})} \rightleftharpoons 2 \mathrm{Cl}_{(\mathrm{g})}$ under the above conditions is $x \times 10^{-1}$. The value of $x$ is___________ (Rounded of to the nearest integer) Solution: $\mathrm{Cl}_{2} \rightleftharpoons 2 \mathrm{Cl}$ Let mol of both of $\ma...
Read More →The correct order of bond
Question: The correct order of bond dissociation enthalpy of halogens is :$\mathrm{Cl}_{2}\mathrm{F}_{2}\mathrm{Br}_{2}\mathrm{I}_{2}$$\mathrm{I}_{2}\mathrm{Br}_{2}\mathrm{Cl}_{2}\mathrm{F}_{2}$$\mathrm{Cl}_{2}\mathrm{Br}_{2}\mathrm{F}_{2}\mathrm{I}_{2}$$\mathrm{F}_{2}\mathrm{Cl}_{2}\mathrm{Br}_{2}\mathrm{I}_{2}$Correct Option: , 3 Solution: Correct order of bond dissociation enthalpy of halogens is $\mathrm{Cl}_{2}\mathrm{Br}_{2}\mathrm{F}_{2}\mathrm{I}_{2}$. Due to inter electronic repulsions ...
Read More →4.5 g of compound A (MW = 90) was used to make 250 mL of its aqueous solution.
Question: 4.5 g of compound A (MW = 90) was used to make 250 mL of its aqueous solution. The molarity of the solution in M is x 101. The value of x is ________. (Rounded off to the nearest integer) Solution: $\mathrm{M}=\frac{4.5 / 90}{250 / 1000}=0.2$ $=2 \times 10^{-1}$...
Read More →