If loge (x+y) = 4xy. Find (d2y)/(dx2) at x = 0.
Solution: Answer: 40 loge (x+y) = 4xy or 1/((x + y)) [1 + (dy/dx)] = 4[x (dy/dx) + y] or... View Article
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The sum of the square of the distance of a point from (0, 0), (0, 1), (1, 1), (1, 0) is 18 and its locus is a circle. If d is the diameter of the circle, then find d2
Solution: Answer: 16 (OP) 2 + (AP) 2 + (PC) 2 + (PB) 2=18 => x2 + y2 + x2... View Article
How many 3 digit numbers by using the digits 0,1,3,4,6,7 can be possible if repetition are allowed?
Solution: Answer: 180 digits 0,1,3,4,6 So, 5 x 6x 6 = 180
f(x) = [latex]cos((2 tan^{-1}((sin((cot^{-1}(sqrt{((1-x)/x) )} ) )[/latex] then
a. (1-x)2 f'(x) – 2(f(x)) 2 = 0 b. (1-x) 2 f'(x) + 2(f(x)) 2= 0 c. (1+x) 2 f'(x)... View Article
Which of the following is the correct sequence of the following conversion?
a. Br2 / FeBr3, HNO3 / H2SO4, NaCN, H2O / H+ b. HNO3 / H2SO4, Br2 / FeBr3, Mg /... View Article
The ratio of water of crystallization present in Mohr’s salt to that of Potash alum is……..x 10-1?
Solution: Answer: (2.5) Potash alum = K2(SO4).Al2(SO4)3.24H2O Mohr’s salt = (NH4)2Fe(SO4)2.6H2O Ratio of water molecule = \(\begin{array}{l}\frac{6(From \: Mohr’s\: Salt)}{24(From... View Article
In the given equation:
+ 2(ℎ / = 125o ) → ?
Solution: Answer: (a) Bromination is highly selective. Reactivity order is: 3o > 2o > 1o.
Choose the correct option for the given statements.
Question: Choose the correct option for the given statements. Statement-I: Titration of a strong acid with a weak base uses... View Article
Correct sequence of [Equation] of [Equation] at constant temperature.
a. \(\begin{array}{l}U_{N_{2}} > U_{O_{2}} > U_{CO_{2}}\end{array} \) b. \(\begin{array}{l}U_{O_{2}} > U_{N_{2}} > U_{CO_{2}}\end{array} \) c. \(\begin{array}{l}U_{CO_{2}} > U_{O_{2}} > U_{N_{2}}\end{array}... View Article
Choose the correct option for the below-given statements.
Statement I: In Bohr’s model, the velocity of electrons increases with a decrease in the positive charge of the nucleus as electrons are not held tightly.
Statement II: Velocity decreases with an increase in principal quantum number.
a. Statement I is correct & Statement II is correct b. Statement I is correct & Statement II is incorrect... View Article
Which of the following will dissolve in water and give colour?
a. Cu2Cl2 b. CuCl2 c. AgBr d. ZnCl2 Solution: Answer: (b) CuCl2 dissolves in water and gives coloured solutions.
Which compound will have an equal freezing point as 0.1 Methanol?
a. 0.1 M Na2SO4 b. 0.1 M Ba3(PO4)2 c. 0.1 M HCl d. 0.1 M C6H12O6 Solution: Answer: (d) ΔTf... View Article
Choose the correct option for the statements given below – Chemistry Problem
Question: Choose the correct option for the statements given below. Statement-I: Ellingham diagram is used to check which metal compound... View Article
Choose the ion whose aqueous solution is violet coloured?
a. [FeCN6]4- b. [Fe(SCN)3] c. [Fe(CN)5NOS]4- d. [Fe(CN)6]3- Solution: Answer: (c) Violet colour is given by complex ions [Fe(CN)5NOS]4-. It... View Article
(A) and (B) respectively will be
Solution: Answer: (a) In water, bromine is ionized to a greater extent and hence tri bromination occurs. In Carbon disulphide,... View Article
Find the product – Solve Chemistry Problem
Question: Find the product. Solution: Answer: (a)
For adsorption of a gas
a. ΔH < 0, ΔS < 0 b. ΔH < 0, ΔS > 0 c. ΔH > 0, ΔS >... View Article
Predict the major product for the following reaction:
Solution: Answer: (d)
When an excess of CO2 is passed through lime water then what will be the sequence of the product?
a. Ca(HCO3)2,CaO b. CaO,Ca(HCO3)2 c. CaCO3,Ca(HCO3)2 d. Ca(HCO3)2,CaO Solution: Answer: (c) Ca(OH)2 (aq) + CO2(g) → CaCO3(s) + H2O(l) CaCO3(s)... View Article
30 Sep 2021: The Hindu Analysis
UPSC Current Affairs Preparation: The Hindu Analysis Watch expert analysis of ‘The Hindu’ dated 30th Sep 2021. Important news and... View Article
