Archives

Is an inductor a solenoid?

Solenoids are often confused with inductors. Both solenoids and inductors are coils of wire but solenoids are used as electromagnets and... View Article

What’s the definition of oxidation?

Oxidation is the loss of electrons by atoms, molecules or ions during the reaction. The oxidation state of atoms, molecules or ions is increased... View Article

What does quantum mechanics mean?

Quantum mechanics deals with the behaviour of the light and matter at the atomic and the subatomic level. Quantum mechanics describes the... View Article

What did Heisenberg and Schrodinger discover about the atom?

Heisenberg gave the uncertainty principle. According to this principle, the position and momentum of an electron cannot be determined... View Article

Why is CCl4 more covalent than LiCl?

The difference in the electronegativity is less between the C -Cl bond. Therefore, CCl4 has more covalent characteristics. While LiCl is an ionic... View Article

Which is more ionic NaCl or AlCl3?

NaCl is more ionic than AlCl3. In NaCl, both Na and Cl will have an equal charge. In AlCl3, the charge of the cation Al3+ is higher when compared... View Article

Which is more ionic NaCl or MgCl2?

The cations are Na and Mg in NaCl and MgCl2 respectively. The anion is chloride (Cl) in both elements. Sodium (Na) ionises more easily than... View Article

Which is more covalent MgCl2 or AlCl3

The covalent character is inversely proportional to the size of the cations. In other words, smaller cations will show higher covalent character.... View Article

What is the pendulum equation?

The formula for the period of the pendulum is T = 2π(√L/√g) T is the time period L is the length of the pendulum g is the acceleration due to... View Article

[latex]\frac{d}{dx}(e^{-ax^{2}}\log\sin x)=[/latex]

(1) (2) (3) (4) none of these Solution: Let y = Differentiate w.r.t.x dy/dx = Hence option (3) is the answer.... View Article

If [latex]y= \frac{e^{2x}\cos x}{x\sin x}[/latex], then dy/dx =

(1) e2x [ (2x -1 )cot x - x cosec2x]/x2 (2) e2x [ (2x +1 )cot x - cosec2x]/x2 (3) e2x [ (2x -1 )cot x + cosec2x]/x2 (4) none of these... View Article

If [latex]y=frac{e^{x}log x}{x^{2}}[/latex] , then dy/dx =

(1) ex[ 1 + (x + 2)log x]/x4 (2) ex[ 1 + (x - 2)log x]/x4 (3) ex[ 1 - (x - 2)log x]/x3 (4) ex[ 1 + (x - 2)log x]/x3 Solution:... View Article

[latex]\frac{d}{dx}\left ( \frac{e^{ax}}{sin (bx+c)} \right )=[/latex]

(1) aax[a sin (bx+c) + b cos (bx+c)]/sin2 (bx+c) (2) aax[a sin (bx+c) - b cos (bx+c)]/sin (bx+c) (3) eax[a sin (bx+c) - b cos (bx+c)]/sin2... View Article

[latex]\frac{d}{dx}xe^{x^{2}}=[/latex]

(1) (2) (3) (4) none of these Solution: Let Differentiate w.r.t.x Hence option (2) is the answer.... View Article

[latex]\frac{d}{dx}\log (\sec x+\tan x)=[/latex]

(1) cosec x (2) sec x (3) tan x (4) cos x Solution: Let y = (log (sec x + tan x)) Differentiate w.r.t.x dy/dx = 1/(sec x + tan... View Article

[latex]\frac{d}{dx}\left ( e^{x\sin x} \right )=[/latex]

(1) ex sin x (x cos x + sin x) (2) ex sin x ( cos x + x sin x) (3) ex sin x ( cos x + sin x) (4) none of these Solution: Let y =... View Article

[latex]\frac{d}{dx}\left [ \tan^{-1}\sqrt{\frac{1-\cos x}{1+\cos x}} \right ]=[/latex]

(1) ½ (2) 0 (3) 1 (4) -½ Solution: Let y = [ tan-1 √((1-cos x)/(1 + cos x)] = [ tan-1 √(2 sin2 (x/2) /2 cos2(x/2)) = [ tan-1 tan... View Article

[latex]\frac{d}{dx}\left [ \log \sqrt{\frac{1-\cos x}{1+\cos x}} \right ]=[/latex]

(1) cosec x (2) sec x (3) cosec x/2 (4) sec x/2 Solution: Let y = [ log √((1 - cos x)/(1 + cos x)] = [ log √(2 sin2 (x/2) /2... View Article

The differential coefficient of the given function [latex]log_{e}left ( sqrt{frac{1+sin x}{1-sin x}} right )[/latex] is

(1) cosec x (2) sec x (3) tan x (4) cos x Solution: Let y = loge (√((1 + sin x)/(1 - sin x)) Multiply numerator and denominator... View Article

If [latex]y = \cot^{-1}\left ( \frac{1+x}{1-x} \right )[/latex], then dy/dx =

(1) 1/(1+x2) (2) -1/(1+x2) (3) 2/(1+x2) (4) -2/(1+x2) Solution: Given y = cot-1 (1+x)/(1-x) Put x = tan θ θ = tan-1 x Then y =... View Article

M	T	W	T	F	S	S
1	2	3	4	5	6	7
8	9	10	11	12	13	14
15	16	17	18	19	20	21
22	23	24	25	26	27	28