If the system of linear equations..
If the system of linear equations : x+ky+3z = 0 3x+ky-2z = 0 2x+4y-3z = 0 has a non-zero solution... View Article
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If the curves y2 = 6x, 9x2 + by2 = 16 intersect each other at right angles, then the value of b is
a) 4 b) 9/2 c) 6 d) 7/2 Solution: Given y2 = 6x Differentiating 2y(dy/dx) = 6 (dy/dx) = 3/y... View Article
If α and β ∈ C are the distinct roots of the equation x2-x+1 = 0, then α101+β107 is equal to
a) 1 b) 2 c) -1 d) 0 Solution: x2-x+1 = 0 x = \(\begin{array}{l}\frac{1\pm \sqrt{1-4\times 1\times 1}}{2\times 1}\end{array} \)... View Article
If L1 is the line of intersection of the planes 2x-2y+3z-2 = 0, x-y+z+1 = 0 and L2 is the line of intersection of the planes x+2y-z-3 = 0, 3x-y+2z-1 = 0, then the distance of the origin from the plane, containing the lines L1 and L2 is
a) 1/2√2 b) 1/√2 c) 1/4√2 d) 1/3√2 Solution: L1 = \(\begin{array}{l}\begin{vmatrix} l &m &n \\ 2& -2 & 3\\... View Article
If the tangent at (1, 7) to the curve x2 = y-6 touches the circle x2+y2+16x+12y+c = 0, then the value of c is
a) 85 b) 95 c) 195 d) 185 Solution: Equation of tangent at (1, 7) to x2 = y-6 is... View Article
The mass percentage of nitrogen in histamine is:
Solution: Molecular mass of Histamine= 111 In Histamine, 3 nitrogen atoms are present (42g) The percentage of nitrogen by mass... View Article
108 g silver (molar mass 108 g mol-1) is deposited at cathode from AgNO3(aq) solution by a certain quantity of electricity. The volume (in L) of oxygen gas produced at 273K and 1 bar pressure from water by the same quantity of electricity is
Solution: On applying Faraday’s 1st law, Moles of Ag deposited= 108/108= 1 mol. Ag+ + e– -> Ag 1Faraday is... View Article
How much amount of NaCl should be added to 600 g of water (ρ = 1.00 g/mL) to decrease the freezing point of water to -0.2°C? (The freezing point depression constant for water = 2 K Kg mol-1)
Solution: NaCl is strong electrolyte and gives 2 ions in the solution. This implies, i = 2. Molarity = (w×1000)/58.5×600... View Article
The hardness of a water sample containing 10-3 M MgSO4 expressed as CaCO3 equivalents (in ppm)is (molar mass of MgSO4 is 120.37 g/mol)
Solution: Hardness of water is measured in ppm in terms CaCO3. nCaCO3 = nMgSO4 ppm is the parts (in grams)... View Article
The molarity of HNO3 in a sample which has density 1.4 g/mL and mass percentage of 63% is :(Molecular weight of HNO3= 63).
Solution: %w/w = 63% ρ = 1.41g/mL M = ((%w/w)× ρ× 10)/MM = (63×1.4×10)/63 = 14 mol/L Answer: (14)
Identify (A) in the following reaction sequence
Identify (A) in the following reaction sequence: Solution: is a methyl ketone, which gives positive Iodoform test. Answer: (b)
A chemist has 4 samples of artificial sweetener A, B, C and D….
A chemist has 4 samples of artificial sweetener A, B, C and D. To identify these samples, he performed certain... View Article
The increasing order of basicity for the following intermediates is
The increasing order of basicity for the following intermediates is (from weak to strong) a) A > B > D... View Article
The correct order of heat of combustion for following alkadienes is
The correct order of heat of combustion for following alkadienes is: a) C > B > Ab) B > A... View Article
The major product (Y) in the following reactions is
The major product (Y) in the following reactions is : Solution: Answer: (a)
Which of these will produce the highest yield in Friedel-Craft’s reaction?
Which of these will produce the highest yield in Friedel-Craft’s reaction? Solution: Out of the four options given, only aniline... View Article
The major product Z obtained in the following reaction scheme is:
The major product Z obtained in the following reaction scheme is: Solution: Hence, major product formed is that of option... View Article
‘X’ melts at low temperature and is a bad conductor of electricity in both liquid and solid state. X is:
a) Mercury b) Silicon Carbide c) Zinc Sulphide d) Carbon Tetrachloride Solution: CCl4 is non polar and does not conduct... View Article
For following reactions, find the activation energy for catalysed reaction
For following reactions It was found that the 𝐸𝑎 is decreased by 30 kJ/mol in the presence of catalyst. If... View Article
According to the following diagram, A reduces BO2 when the temperature is:
According to the following diagram, A reduces BO2 when the temperature is: a) > 14000C b) < 14000C c) >... View Article
