Which of the following compounds is likely to show both Frenkel and Schottky defects in its crystalline form?
In hydrogen atom, radius of the smallest orbit of the electron is a0, the radius of the third orbit is
Which of the following reactions does not match correctly with its name?
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 wall is hit elastically and normally by ‘n’ balls per second. All the balls have the same mass ‘m’ and are moving with the same velocity ‘u’. the force exerted by the balls on the wall is
Four identical condensers are connected in parallel and then in series equivalent capacitance in series to that in parallel combination is
What is change in internal energy if a system gains xJ of heat and yJ work is done on it?
Which of the following is not the method of preparation of phenol?
The coefficient of linear expansion of brass and steel rod are ‘α1’ and ‘α2’ respectively. Lengths of brass and steel rods are ‘l1’ and‘l2’ respectively. If (l2 - l1) is maintained same at all temperatures, which one of the following relation is correct?
What is the molar mass of solute when 2.3 gram non-volatile solute dissolved in 46 gram benzene at 30°C? (Relative lowering of vapour pressure is 0.06 and molar mass of benzene is 78 gram mol–1)
How many mole of electrons are required for the reduction of 1 mole of Cr3+ to Cr(s)?
Give that f(x) =\(\frac {1-cos4x}{x^2}\) if x < 0 ,f(x) = a if x = 0 , f(x) =\(\frac {\sqrt {x}}{\sqrt {16 + \sqrt {x} }- 4}\) if x > 0, is continuous at x = 0, then a will be
The ratio of the speed of sound in helium gas to that in nitrogen gas at same temperature is (γHe = \(\frac {5}{3}\), γN2 = 4 , M N2 =28)
Argument of \(\frac {1-i√3}{1+i√3}\) is
If the position vectors of the points A and B are 3\(\hat {i}\) + \(\hat {j}\) + 2\(\hat {k}\) and \(\hat {i}\) -2\(\hat {j}\) -4\(\hat {k}\) respectively, then the equation of the plane through B and perpendicular to AB is
Two spheres ‘S1’ and ‘S2’ have same radii but temperatures are ‘T1’ and ‘T2’ respectively. Their emissive power is same and emissivity is in the ratio 1 : 4. Then the ratio ‘T1’ to‘T2’ is
The ratio in which the plane r.(\(\hat i\) -2\(\hat j\) + 3\(\hat k\) ) =17 divides the line joining the points -2\(\hat i\)+4\(\hat j\)+7\(\hat k\) and 3\(\hat i\)-5\(\hat j\)+8\(\hat k\) is
\(\int_{-π/2}^{π/2} f(x) \,dx\) =?Where f(x) = sin |x| + cos |x|, x ∈ \((-\frac {π}{2}, \frac {π}{2})\)
The objective function of L.L.P. defined over the convex set attains its optimum value at
Let cos (α + β) = \(\frac {4}{5}\) and sin (α - β) = \(\frac {5}{13}\), where 0 < α, β < \(\frac {π}{4}\) , then tan 2α=?
If a, b, c are position vectors of points A, B, C respectively, with 2a + 3b -5c = 0 , then the ratio in which point C divides segment AB is
Which of the following statement pattern is a contradiction?
∫\(\frac {5(x^6+1)}{X+1}\)dx = (where C is a constant of integration.)