b) Write the chemical equation and mechanism of pinacol-pinacolone rearrangement.
See Answer →a) In normal reaction conditions, chlorobenzene does not react with NaOH, but 1- chloro-4-nitrobenzene reacts with NaOH in these conditions. Explain.
See Answer →a) Explain why Nitro group is meta-directing deactivator?
See Answer →b) Write the mechanism of Friedel-Craft’s alkylation. What are its limitations?
See Answer →a) List various methods of preparation of benzene and also write one chemical reaction for each case.
See Answer →b) Define solubility product constant and derive the relationships between solubility and solubility product constants for salts of AB2, A2B types.
See Answer →a) Explain the effect of common ions on the ionisation equilibria of weak acids with the help of a suitable example.
See Answer →b) Define degree of ionisation of a weak electrolyte and discuss the factors affecting it.
See Answer →a) In the following equilibrium, predict the direction of shift of equilibrium for each condition listed below:
i) Addition of
ii) increased pressure
iii) lowering of temperature.
See Answer →
b) What is reaction quotient and how is it helpful in determining the direction of a given reaction?
See Answer →a) Give the statements of Zeroth, First, Second and the Third laws of thermodynamics and outline their significance.
See Answer →b) Differentiate between enthalpy driven and entropy driven reactions with the help of suitable examples.
See Answer →a) Define standard enthalpy of formation and describe a method for its direct determination with the help of an example.
See Answer →a) Define and explain a thermodynamically reversible process.
b) 0.25 mol of an ideal monoatomic gas undergoes isothermal expansion from a volume of 2.0 dm3 to 10 dm3 at 27 oC. Calculate the maximum work that can be obtained from this process.
See Answer →e) i) Show that only odd harmonics can be generated in a closed-end organ pipe.
ii) Determine the fundamental frequency and the first 3 overtones of an organ pipe
of length 1.7 m and closed at one end. Take the speed of sound to be 340
d) Standing waves are produced by superposition of the following waves: and
(i) Obtain the resultant displacement of the particle at x at time t. (ii) For what value of x will the displacement be zero at all times? (iii) What is the distance between two nearest values of x at which displacements are zero? Is this distance related to the wavelength of the standing wave?
See Answer →
c) i) The equation of transverse wave on a string is given by
where y and x are in cm and t is in second. Calculate the maximum speed of a particle on the string and wavelength of the wave.
ii) The linear density of a vibrating string is A transverse wave is propagating on the string and is described by the equation:
sin
where x and y are in meters and t is in seconds. Calculate the tension in the string.
See Answer →a) Calculate the volume of the tetrahedron whose vertices are the points A = (3, 2, 1), B = (1, 2, 4), C = (4, 0, 3) and D = (1, 1, 7).
b) For three vectors
ii) A train moving with speed 72 km emits a whistle of frequency 500 Hz. A person is standing stationary on the platform. Calculate the frequency heard by the person if the train (i) approaches and (ii) recedes away from the listener