What is the integral of Cotx dx?
Answer: Need to find ∫cotx dx \(\begin{array}{l}\int cotx\,dx = \int \frac{cosx}{sinx}dx\end{array} \) Substitute sinx = u Then cosx dx =... View Article
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What is the LCM of 4 and 8?
Answer: In arithmetic, the least common multiple or LCM of two numbers say a and b, is denoted as LCM... View Article
What is 2 raised to the power 12?
Answer: Exponents and powers are ways used to represent very large numbers or very small numbers in a simplified manner.... View Article
How to integrate e2x?
Answer: Consider the given integral. I=∫e2xdx By applying the substitution method, we get u = 2x du = 2dx dx... View Article
Find derivative of xx.
Answer: Let us consider y = xx Applying log on both the side, log y = x log x Differentiate... View Article
Which of the following substances gives a positively charged sol? (1) Gold (2) Arsenious sulphide (3) Starch (4) Ferric hydroxide
Which of the following substances gives a positively charged sol? (1) Gold (2) Arsenious sulphide (3) Starch (4) Ferric hydroxide... View Article
A number when divided by a divisor leaves a remainder of 24, when twice the original number of divided by the same divisor the remainder is 11, then divisor is- (1) 13 (2) 59 (3) 35 (4) 37
Answer: (4) 37 Let x = numbers d = Divisor x = md + 24 Then 2x = nd +... View Article
On electrolysis of dilute sulphuric acid using platinum electrodes, the product obtained at the anode will be (1) Hydrogen (2) Oxygen (3) Hydrogen sulphide (4) Sulphur oxide
Answer:(2) Oxygen Electrolysis is defined as a process of decomposing ionic compounds into their elements by passing a direct electric... View Article
In the phenomenon of interference, energy is (1) destroy’s at bright fringes (2) created at dark fringes (3) conserved, but it is redistributed (4) same at all points
Answer:(3) conserved, but it is redistributed Interference is the phenomenon in which two waves superpose to form the resultant wave... View Article
The Ksp of Mg(OH)2 is 1×10-12. 0.01m Mg(OH)2 will precipitate at the limiting pH equal to________
Answer: The Ksp of Mg(OH)2 is 1×10-12. 0.01m Mg(OH)2 will precipitate at the limiting pH equal to 9. KSP =... View Article
How to integrate ln x?
Answer: We will use integration by parts method to solve ∫ln(x)dx. ∫u dv = uv – ∫vdu Let u =... View Article
By what factor does the average velocity of a gaseous molecule increase when the temperature (in Kelvin) is doubled? (1) 1.4 (2) 2.0 (3) 2.8 (4) 4.0
Answer:(1) 1.4 Average velocity given by the formula \(\begin{array}{l}V_{av} = \sqrt{\frac{8RT}{\pi m}}\end{array} \) R = Gas constant m = Molecular... View Article
If momentum of an object is increased by 10% then its kinetic energy will increase by (1) 20% (2) 21% (3) 40% (4)19%
Answer: (2) 21% Kinetic energy is defined as “the energy required by a body to accelerate from rest to stated... View Article
The equation y=Asin2(kx−ωt) represents a wave with (1) amplitude A frequency ω/2π (2) amplitude A /2 frequency ω/π (3) amplitude 2A frequency ω/4π (4) It does not represent a wave motion
The equation y=Asin<sup>2</sup>(kx−ωt) represents a wave with (1) amplitude A frequency ω/2π (2) amplitude A /2 frequency ω/π (3) amplitude... View Article
Two positive point charges are of 12μC and 8μC are 10cm apart from each other. The work done in bringing them 4cm closer is (1) 5.8J (2) 13eV (3) 5.8eV (4) 13J
Answer:(4) 13J Given q1= 12μC q2= 8μC Two charges at a distance d1= 10cm Need to find: The work done... View Article
A solution containing 62g ethyl glycol in 250g water is cooled to -10oC. If Kf for water is 1.86Kkgmol-1, the amount of water (ing) separated as ice is (1) 32 (2) 48 (3) 16 (4) 64
Answer: (4) 64 If T0b is the boiling point of the pure solvent and Tb is the boiling point of... View Article
Which of the following isomers will give a white precipitate with BaCl2 solution (1) [Co(NH3)5SO4]Br (2) [Co(NH3)5Br]SO4 (3) [Co(NH3)4(SO4)2]Br (4) [Co(NH3)4Br(SO4)]
Answer: (2) [Co(NH3)5Br]SO4 The complex [Co(NH3)5Br]SO4 dissociates to give [Co(NH3)5Br]2+ and SO42- ions. SO42- ions reacts with barium chloride(BaCl2) to... View Article
What is the LCM of 60 and 75?
Answer: LCM is the method to find the smallest possible multiple of two or more numbers. LCM stands for Least... View Article
The value of k which makes f(x) = {(sin(1/x), x ≠ 0), (k, x = 0) continuous at x = 0 is (A) 8 (B) 1 (C) -1 (D) None of these
The value of k which makes f(x) = {(sin(1/x), x ≠ 0), (k, x = 0) continuous at x =... View Article
An increase in the concentration of the reactants of reaction leads to change in (1) Heat of reaction (2) Threshold energy (3) Collision frequency (4) Activation energy
Answer: (3) Collision frequency The speed with which a reaction takes place is referred to as the rate of a... View Article
