BITSAT Mock 6

For the reaction 2SO₂ (g) + O₂ (g) 2SO₃ (g) at 300 K, the value of ΔG° is -690.9 R. The equilibrium constant value for the reaction at that temperature is (R is gas constant)

For the reaction A + 2B → C, the reaction rate is doubled if the concentration of A is doubled. The rate is increased by four times when concentrations of both A and B are increased by four times. The order of the reaction is

At a certain temperature, the value of the slope of the plot of osmotic pressure (π) against concentration (C in mol L^-1) of a certain polymer solution is 291 R. The temperature at which osmotic pressure is measured is (R is gas containt)

At a particular temperature the ratio of equivalent conductance to specific conductance of a 0.01 (N) NaCl solution is

A simple pendulum of length L swings in a vertical plane. The tension of the string when it make an angle θ with the vertical and the bob of mass m moves with a speed v is (g is the government acceleration)

The length of an open organ pipe is twice the length of another closed organ pipe. The fundamental frequency of the open pipe is 100 Hz. The frequency of the third harmonic of the closed pipe is

A train is moving with a uniform speed of 33 m/s and an observer is approaching the train with the same speed. If the train blows a whistle of frequency 1000 Hz and the velocity of sound is 333 m/s, then the apparent frequency of the sound that the observer hears is

The line AA’ is on a charged infinite conducting plane which is perpendicular to the plane of the paper. The plane has a surface density of charge σ and B is a ball of mass m with a like charge of magnitude q. B is connected by a string from a point of the line AA’. The tangent of the angle (θ) formed between the line AA’ and the string is

The value of λ, such that the following system of equations has no solutions, is
x – 2y + z = -4
2x – y – 2z = 2 
x + y + λz = 4

If f(x) =   .Then f (100) is equal to

If A and B are two matrices such that AB = B and BA = A, then A² + B² equals

The number of distinct real roots of
= 0
in the interval -

If ω is an imaginary cube root of unity, then the value of
The determinant is