For three unit vectors a, b, c satisfying |a − b|² + |b − c|² + |c − a|² = 9 and |2a + kb + kc| = 3, the positive value of k is
For three unit vectors a, b, c satisfying |a − b|² + |b − c|² + |c − a|² = […]
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If ∫((1 − 5cos²x)/(sin⁵x cos²x)) dx = f(x) + C, then f(π/6) − f(π/4) is equal to
If ∫((1−5cos²x)/(sin⁵x cos²x)) dx = f(x) + C, then f(π/6) − f(π/4) is equal to Q. If ∫ (1 −
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Let � be a set of polynomials. Then the number of polynomials in �, which are divisible by �, is ____ .
Let S be a set of cubic polynomials with natural number coefficients. Find how many are divisible by x^2 +
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X is the number of geometrical isomers exhibited by �. Y is the number of optically inactive isomer(s) exhibited by �. Z is the number of geometrical isomers exhibited by �. The value of X + Y + Z is ____ .
X is the number of geometrical isomers of [Pt(NH3)(H2O)BrCl], Y is the number of optically inactive isomers of [CrCl2(ox)2]3− and
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Consider the dissociation equilibrium of the following weak acid HA ⇌ H⁺(aq) + A⁻(aq) If the pKa of the acid is 4, then the pH of 10 mM HA solution is ____ . (Nearest integer) [Given: The degree of dissociation can be neglected with respect to unity]
Consider the dissociation equilibrium of a weak acid HA with pKa 4. Find the pH of 10 mM HA solution.
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0.53 g of an organic compound (x) when heated with excess of nitric acid (concentrated) and then with silver nitrate gave 0.75 g of silver bromide precipitate. 1.0 g of (x) gave 1.32 g of CO₂ gas on combustion. The percentage of hydrogen in the compound (x) is ____ %. (Nearest Integer) [Given: Molar mass in gmol⁻¹ H : 1, C : 12, Br : 80, Ag : 108, O ; Compound (x) : CₓHᵧBr_z]
0.53 g of an organic compound when treated with nitric acid and silver nitrate gives AgBr and CO2 on combustion.
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500 mL of 1.2 M KI solution is mixed with 500 mL of 0.2 M KMnO₄ solution in basic medium. The liberated iodine was titrated with standard 0.1 M Na₂S₂O₃ solution in the presence of starch indicator till the blue color disappeared. The volume (in L) of Na₂S₂O₃ consumed is ____ . (Nearest integer)
500 mL of 1.2 M KI solution is mixed with 500 mL of 0.2 M KMnO4 solution in basic medium.
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Consider the following redox reaction taking place in acidic medium BH₄⁻ (aq) + ClO₃⁻ (aq) → H₂BO₃⁻ (aq) + Cl⁻ (aq) If the Nernst equation for the above balanced reaction is E_cell = E°_cell − (RT / nF) ln Q, then the value of n is ____ . (Nearest integer)
Consider the following redox reaction taking place in acidic medium BH₄⁻ + ClO₃⁻ → H₂BO₃⁻ + Cl⁻ and find the
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The correct statement among the following is: + A 2-[Ni(CN)4] and [NiCl4]2 are diamagnetic and Ni(CO)4 is paramagnetic. Ni(CO) 4 is diamagnetic and 2-Ⓑ [NiCl4] and [Ni(CN)4]2 are B paramagnetic.
The correct statement among the following is. Q. The correct statement among the following is: (A) [Ni(CN)4]2− and [NiCl4]2− are
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Consider the above reaction A. The reaction proceeds through a more stable radical intermediate. B. The role of peroxide is to generate H• (Hydrogen radical). C. During this reaction, benzene is formed as a byproduct. D. 1-Bromo-2-phenylethane is formed as the minor product. E. The same reaction in absence of peroxide proceeds via carbocation intermediate. Identify the correct statements. Choose the correct answer from the options given below :
Identify the correct statements for the reaction Ph − CH = CH₂ in presence of peroxide and HBr. Q. Ph