In a triangle ABC, with usual notations ∠A = 60°, then (1 + \(\frac {a}{c}\) + \(\frac {b}{c}\))(1 + \(\frac {c}{b}\) - \(\frac {a}{b}\)) = ?
Aldol condensation between which of the following compounds followed by dehydration gives 4-Methylpent-3-en-2-one.
Two coils P and S have a mutual inductance of 5 x 10-3 H. If the current in the coil, P is I = 10 sin (100 πt), then the maximum value of the e.m.f. induced in coil S is
A metal wire of density ‘ρ’ floats on water surface horizontally. If it is NOT to sink in water, then maximum radius of wire is (T = surface tension of water, g = gravitational acceleration)
A photon of energy ‘E’ ejects photoelectrons from a metal surface whose work function is W0. If this electron enters into uniform magnetic field of induction ‘B’ in a direction perpendicular to field and describes a circular path of radius‘r’, then radius is given by
Choose the false statement from following about SN1 reaction mechanism.
Which of the following compounds is likely to show both Frenkel and Schottky defects in its crystalline form?
How many carbon atoms present in n mole of citric acid?
Which from following pair of elements have one electron in 5d-subshell in observed electronic configuration?
Ammonia and oxygen react at high temperature as in reaction, 4HN3(g) + 5O2(g) → 4NO(g) + 6H2O(g) If rate of formation of NO is 3.6 x 10–3 mol L–1 .sec–1 . Calculate the rate of formation of water.
The area of the region bounded by the y-axis, y = cos x, y = sin x, when 0 ≤ x ≤\(\frac {π}{4}\), is
The general solution of the differential equation x2 + y2 – 2xy \(\frac {dy}{dx}\) = 0 is (where C is a constant of integration.)
Which among the following is correct decreasing order of covalent character of ionic bond?
Which from following polymers is obtained using
Argument of \(\frac {1-i√3}{1+i√3}\) is
The equation of the line perpendicular to 2x – 3y + 5 = 0 and making an intercept 3 with positive Y-axis is
Which of the following reactions does not match correctly with its name?
What is IUPAC name of mesityl oxide?
Explain structure of polyacrylonitrile.
What is the Monomer of Neoprene?
An equation of a simple harmonic progressive wave is given by y = A sin (100πt-3x).The distance between two particles having a phase difference of \(\frac {π}{3}\) in metre is
Two satellites A and B rotate round a planet’s orbit having radius 4R and R respectively. If the speed of satellite A is 3 V then speed of satellite B is
Two thin lenses have a combined power of +9D. When they are separated by a distance of 20 cm, then their equivalent power becomes +27/5 D. Their individual power (in dioptre) is
In metre bridge experiment, null point is obtained at 20 cm from left end of the wire, when resistance X is balanced against another resistance Y (X < Y). To balance a resistance 4 X against Y, the new position of the null point from the same end will be
