Let � be a differentiable function in the interval � such that �, and
Let y = y(x) be a differentiable function in the interval (0, ∞) such that y(1) = 2 Q. Let […]
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Consider the following three statements for the function � defined by � : (I) � is differentiable at all �. (II) � is increasing in �. (III) � is decreasing in �.
Consider the following three statements for the function f(x)=|logex|−|x−1| Q. Consider the following three statements for the function f :
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Grignard reagent RMgBr (P) reacts with water and forms a gas (Q). One gram of Q occupies 1.4 dm³ at STP. (P) on reaction with dry ice in dry ether followed by H₃O⁺ forms a compound (Z). 0.1 mole of (Z) will weigh ____ g. (Nearest integer)
Grignard reagent RMgBr reacts with water and forms a gas which occupies 1.4 dm3 at STP. On reaction with dry
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0.25 g of an organic compound “A” containing carbon, hydrogen and oxygen was analysed using the combustion method. There was an increase in mass of CaCl₂ tube and potash tube at the end of the experiment. The amount was found to be 0.15 g and 0.1837 g, respectively. The percentage of oxygen in compound A is ____ %. (Nearest integer) (Given: molar mass in g mol⁻¹ H : 1, C : 12, O : 16)
0.25 g of an organic compound A containing carbon hydrogen and oxygen was analysed using the combustion method Q. 0.25
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A chromium complex with a formula CrCl₃·6H₂O has a spin only magnetic moment value of 3.87 BM and its solution conductivity corresponds to 1 : 2 electrolyte. 2.75 g of the complex solution was initially passed through a cation exchanger. The solution obtained after the process was reacted with excess of AgNO₃. The amount of AgCl formed in the above process is ____ g. (Nearest integer) [Given: Molar mass in g mol⁻¹ Cr : 52; Cl : 35.5, Ag : 108, O : 16]
A chromium complex with a formula CrCl3·6H2O has a spin only magnetic moment value of 3.87 BM and its solution
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The half-life of ⁶⁵Zn is 245 days. After x days, 75% of original activity remained. The value of x in days is ____ (Nearest integer) (Given: log 3 = 0.4771 and log 2 = 0.3010)
The half-life of 65Zn is 245 days. After x days, 75% of original activity remained. The value of x in
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Molar conductivity of a weak acid HQ of concentration 0.18 M was found to be 1/30 of the molar conductivity of another weak acid HZ with concentration of 0.02 M. If λ°Q⁻ happened to be equal with λ°Z⁻, then the difference of the pKₐ values of the two weak acids (pKₐ(HQ) − pKₐ(HZ)) is ____ (Nearest integer). [Given: degree of dissociation (α) ≪ 1 for both weak acids, λ° : limiting molar conductivity of ions]
Molar conductivity of a weak acid HQ of concentration 0.18 M was found to be 1/30 of the molar conductivity
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” X ” is an oxoanion of the lightest element of group 7 (in the periodic table). The metal is in +6 oxidation state in ” X “. The color of the potassium salt of X is
” X ” is an oxoanion of the lightest element of group 7 (in the periodic table). The metal is
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In the Group analysis of cations, Ba²⁺ & Ca²⁺ are precipitated respectively as
In the Group analysis of cations, Ba²⁺ & Ca²⁺ are precipitated respectively as Q. In the Group analysis of cations,
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Consider the following gaseous equilibrium in a closed container of volume ‘V’ at T (K). P₂(g) + Q₂(g) ⇌ 2PQ(g) 2 moles each of P₂(g), Q₂(g) and PQ(g) are present at equilibrium. Now one mole each of ‘P₂’ and ‘Q₂’ are added to the equilibrium keeping the temperature at T (K). The number of moles of P₂, Q₂ and PQ at the new equilibrium, respectively, are
Consider the following gaseous equilibrium in a closed container of volume V at T (K). P2 + Q2 ⇌ 2PQ.