30 Questions
What is the equation for the mean free path of gas molecules in kinetic theory?
$\frac{kT}{\sqrt{2} \pi d^2 P}$
Which factor does NOT affect the velocity of sound in air?
Frequency
What principle explains the reflection of waves?
Superposition principle
In simple harmonic motion, what does the phase represent?
Position within the cycle
What is the law governing the force between two point charges?
Coulomb's law
Which of the following is NOT an assumption in the kinetic theory of gases?
Gas particles exert attractive forces on each other
What conditions would result in a negative reduction potential for the hydrogen half-cell?
p(H2) = 2 atm and [H+] = 10 M
What is the solubility of BaSO4 in 0.1 M Na2SO4 at 25°C if the saturated solution of BaSO4 is 4 × 10^(-5) M?
16 × 10^(-8) M
When a yellow precipitate is formed by adding a salt containing metal 'M' to a solution of Co(NO3)2 and NaNO2, what is the identity of metal 'M'?
sodium
In the extraction of metal (M) from its sulphide ore (M2S), which metal is involved based on the given reactions?
Cu
Identify the gas (X), white precipitate (Y), and white residue (Z) in the given scenario.
CO2, NaHCO3, Na2CO3
Which of the following structures exhibits delocalized π-electrons?
O3 and HCN
What are the coordinates of the centre of the circle on which the points of intersection of the two given ellipses lie?
(8,3)
For a complex number z which satisfies |z + i| − |z − 1| = |z| − 2 = 0, what is the value of z?
1
To evaluate the integral \(egin{equation} \rac{2x-1}{3x+2}igg|{-2}^{4} \rac{4x}{x^2+1} dx\egin{equation}\egin{equation}igg|{1}^{2} \rac{x^2}{x^2+1} dx\egin{equation}', what substitution is not possible?
Putting x = cosec θ
If a plane meets the co-ordinate axes at the points A, B, and C in such a way that the centroid of ∆ABC is (1, r, r^2) for some real r, and passes through the point (5, 5, -12), what is the value of r?
-4/3
What is the result when evaluating the integral \(egin{equation} \rac{rac{2x-1}{3x+2}}{rac{4x}{x^2+1}} dx\egin{equation}\egin{equation}igg|rac{x^2}{x^2+1} dx\egin{equation}igg|{-2}^{4}\egin{equation}igg|{1}^{2}\egin{equation}'?
$5\pi$
If P is a variable point on a circle C and Q is a fixed point outside C, what kind of geometric relationship can be established between P and Q?
P and Q are related through a straight line passing through Q
How many triple bonds are present in the cyclo (18) carbon structure?
9
Why does 1-butanol have the highest boiling point among the given compounds?
Due to extensive intermolecular hydrogen bonding
Which compound has the lowest boiling point among isopentane, n-pentane, butanone, and 1-butanol?
Isopentane
Why does butanone have a higher boiling point than n-pentane?
Stronger dipole-dipole interactions
Which resonating structures of p-nitro-N, N-dimethyl aniline are incorrect?
II and IV
What is the general formula of amino acids where R is CH3?
$H_2N - CH(CH_3) - COOH$
What is the condition for electric field to be maximum at point M in the graph?
$2z^2 = a^2$
At point P(0, 2a, 0), what is the net electric field value in terms of $σ$ and $ε_0$?
$4σ/ (2ε_0) j$
What happens to charge q3 between charges q1 and q2 if q3 is taken as positive?
At a certain location, q3 will experience repulsive forces of equal magnitude.
In Case 2, where q3 is taken as negative, what occurs at a certain location between charges q1 and q2?
q3 will experience attractive forces of equal magnitude.
What is the expression for the current associated with charge q in terms of R and λ?
$q I= T/ (2πRλ)$
At a distance d away from the center, what is the expression for the magnetic field on the axis, for d much greater than R?
$µ_0 IR^2/(2(R + d / 2)^{3/2})$
Test your knowledge on thermal equilibrium, heat, work, internal energy, the laws of thermodynamics, isothermal processes, adiabatic processes, kinetic theory of gases, equation of state of a perfect gas, and more.
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