List of practice Questions

How many of the following have zero dipole moment $H_2S, CH_4, NH_3, BF_3, SO_2, NF_3$

Consider the following reaction: The product is

Find out value of $C_p/C_y$ for an ideal gas undergoing reversible adiabatic process for which $P ∝ T^3$ is given

Which of the following is true regarding coagulation of egg:

If y=\(\frac{2\cos2\theta+\cos\theta}{\cos3\theta+\cos^2\theta+\cos\theta}\), Then value of y''+y'+y is

If S = {2, 4, 8, 16, ..., 512}. If S is broken in 3 equal subsets A, B and C such that A∩B = B∩C = C∩A = φ and A∪B∪C = S then maximum number of ways to break is

A line L is perpendicular to y = 2x + 10 such that it touches the parabola y² = 4(x – g). Then the distance between point of contact and origin is equal to

Consider a equation  P(x)= ax² + bx + c =0. If a,b,c ∈ A, were A = {1, 2, 3, 4, 5, 6} . Then the probability that P(x) has real and distinct roots?

Area bounded by y = -2|x| and y = x|x| is:

Let image of point(8,5,7) with respect to line \(\frac{x-1}{2}=\frac{y+1}{3}=\frac{z-2}{5}\) is (α,β,γ). Then, α+β+γ is equal to______.

The number of real solution x|x + 5| + 2|x + 7| - 2 = 0 is

Let 4^1+x + 4^1-x, \(\frac{k}{2}\), 16^x + 16^-x are in A. P. then least value of k is____

\(\left( \frac{3^{\frac{1}{5}}}{x}+\frac{2x}{5^\frac{1}{3}} \right)^{12}\)Find which term is constant.

The 50^th word in the dictionary using the letters B, B, H, J, O is:

Find out E cell of the given cell M | M²⁺ | | x^2-|x.|
Eº_M²⁺_{I M} = 0.34 V
E°_x|x^2- = 0.46 V

There are two fixed charged spheres P and Q repelling each other with a force of 16 N. A third neutral sphere is placed between the charged spheres. The new force between the spheres is _________ (assuming all the spheres are insulating)

A tree branch holds a weight of 200 N by a uniform chain of mass 10 kg. The force applied by branch to hold this weight is ______ (Take g = 10 m/s² )

If the kinetic energy of a block of mass m becomes 36 times by keeping its mass constant, by what percentage will the momentum increase?

The weight of an object measured on the surface of earth is 300 N. What will be the weight of the same object at depth R/4 inside the earth? (Given R = Radius of earth)

Find the longest wavelength of the Paschen series for hydrogen atom. (Rydberg constant = 10⁷ /m)

Find net kinetic energy (maximum possible) associated with 20 diatomic molecules (Here k_B is Boltzmann constant and T is absolute temperature of diatomic gas).

A convex lens has a focal length of f = 20 cm, R1 = 15 cm, R2 = 30 cm. The refractive index of the lens is \(\frac{x}{2}\) The value of x is _______ .

For a device, power consumed = 110 W and voltage supplied is 220 V. The number of electrons that flow in 1 is \(\frac{x}{4}\) × 10¹⁷ . Find x.

A car of mass 800 kg is moving in a circular path of radius 300 m on a banked road with an angle 30°. Coefficient of friction between the car and road is 0.2. Find the maximum safe speed (to the nearest integer in m/s) with which the car can travel. (Take √3 = 1.7)

If \(\int\frac{dx}{a^2\sin x+b^2\cos^2x}=\frac{1}{12}\tan^{-1}(3\tan x)+c,\)then the maximum value of a sinx + bcosx is____