Thermodynamics and Kinetic Theory of Gases Quiz
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Questions and Answers

What is the equation for the mean free path of gas molecules in kinetic theory?

  • $\frac{kT}{\sqrt{2} \pi d^2 P}$ (correct)
  • $\frac{PV}{nRT}$
  • $\frac{1}{\sqrt{2} \pi d^2 P}$
  • $\frac{RT}{P}$

    • Which factor does NOT affect the velocity of sound in air?

  • Humidity
  • Frequency (correct)
  • Temperature
  • Pressure

    • What principle explains the reflection of waves?

  • Hooke's law
  • Gauss's law
  • Superposition principle (correct)
  • Bernoulli's principle

    • In simple harmonic motion, what does the phase represent?

    <p>Position within the cycle</p> Signup and view all the answers

    What is the law governing the force between two point charges?

    <p>Coulomb's law</p> Signup and view all the answers

    Which of the following is NOT an assumption in the kinetic theory of gases?

    <p>Gas particles exert attractive forces on each other</p> Signup and view all the answers

    What conditions would result in a negative reduction potential for the hydrogen half-cell?

    <p>p(H2) = 2 atm and [H+] = 10 M</p> Signup and view all the answers

    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?

    <p>16 × 10^(-8) M</p> Signup and view all the answers

    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'?

    <p>sodium</p> Signup and view all the answers

    In the extraction of metal (M) from its sulphide ore (M2S), which metal is involved based on the given reactions?

    <p>Cu</p> Signup and view all the answers

    Identify the gas (X), white precipitate (Y), and white residue (Z) in the given scenario.

    <p>CO2, NaHCO3, Na2CO3</p> Signup and view all the answers

    Which of the following structures exhibits delocalized π-electrons?

    <p>O3 and HCN</p> Signup and view all the answers

    What are the coordinates of the centre of the circle on which the points of intersection of the two given ellipses lie?

    <p>(8,3)</p> Signup and view all the answers

    For a complex number z which satisfies |z + i| − |z − 1| = |z| − 2 = 0, what is the value of z?

    <p>1</p> Signup and view all the answers

    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?

    <p>Putting x = cosec θ</p> Signup and view all the answers

    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?

    <p>-4/3</p> Signup and view all the answers

    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}'?

    <p>$5\pi$</p> Signup and view all the answers

    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>P and Q are related through a straight line passing through Q</p> Signup and view all the answers

    How many triple bonds are present in the cyclo (18) carbon structure?

    <p>9</p> Signup and view all the answers

    Why does 1-butanol have the highest boiling point among the given compounds?

    <p>Due to extensive intermolecular hydrogen bonding</p> Signup and view all the answers

    Which compound has the lowest boiling point among isopentane, n-pentane, butanone, and 1-butanol?

    <p>Isopentane</p> Signup and view all the answers

    Why does butanone have a higher boiling point than n-pentane?

    <p>Stronger dipole-dipole interactions</p> Signup and view all the answers

    Which resonating structures of p-nitro-N, N-dimethyl aniline are incorrect?

    <p>II and IV</p> Signup and view all the answers

    What is the general formula of amino acids where R is CH3?

    <p>$H_2N - CH(CH_3) - COOH$</p> Signup and view all the answers

    What is the condition for electric field to be maximum at point M in the graph?

    <p>$2z^2 = a^2$</p> Signup and view all the answers

    At point P(0, 2a, 0), what is the net electric field value in terms of $σ$ and $ε_0$?

    <p>$4σ/ (2ε_0) j$</p> Signup and view all the answers

    What happens to charge q3 between charges q1 and q2 if q3 is taken as positive?

    <p>At a certain location, q3 will experience repulsive forces of equal magnitude.</p> Signup and view all the answers

    In Case 2, where q3 is taken as negative, what occurs at a certain location between charges q1 and q2?

    <p>q3 will experience attractive forces of equal magnitude.</p> Signup and view all the answers

    What is the expression for the current associated with charge q in terms of R and λ?

    <p>$q I= T/ (2πRλ)$</p> Signup and view all the answers

    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?

    <p>$µ_0 IR^2/(2(R + d / 2)^{3/2})$</p> Signup and view all the answers

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