Practice questions
88551 published questions with worked solutions.
- Let α and β be the roots of x^2+ 3x-16=0, and γ and δ be the roots of x^2+3x-1=0. If P_n = ^n+ ^n and Q_n = ^n+ ^n, then P_ 25 +...
- If y(x) = vmatrix x & x & x+ x+1 27&28&27 1&1&1 vmatrix , x R, then d^2y dx^2 +y is equal to
- Let a = i+ j+ k, b = 3 i+2 j- k, c = j+ k and d be a unit vector such that a d = b d and c. d = 1. If c is perpendicular to a,...
- Let the product of the focal distances of the point (4, 2 3) on the hyperbola H : x^2 a^2 - y^2 b^2 =1 be 32. Let the length of...
- Consider following statements for refraction of light through prism, when angle of deviation is minimum. A. The refracted ray...
- The radiation pressure exerted by a 450 W light source on a perfectly reflecting surface placed at 2 m away from it, is
- A person measures mass of 3 different particles as 435.42 g, 226.3 g and 0.125 g. According to the rules for arithmetic...
- During the melting of a slab of ice at 273 K at atmospheric pressure:
- The work function of a metal is 3 eV. The color of the visible light that is required to cause emission of photoelectrons is
- The electrostatic potential on the surface of uniformly charged spherical shell of radius R = 10 cm is 120 V. The potential at...
- A gas is kept in a container having walls which are thermally non-conducting. Initially the gas has a volume of 800 cm³ and...
- The radii of curvature for a thin convex lens are 10 cm and 15 cm respectively. The focal length of the lens is 12 cm. The...
- Two coherent monochromatic light beams of intensities 4I and 9I are superimposed. The difference between the maximum and minimum...
- A 4.0 cm long straight wire carrying a current of 8 A is placed perpendicular to a uniform magnetic field of strength 0.15 T. The...
- 2 moles each of ethylene glycol and glucose are dissolved in 500 g of water. The boiling point of the resulting solution is:...
- Among 10⁻⁹ g (each) of the following elements, which one will have the highest number of atoms? Element: Pb, Po, Pr and Pt
- Number of molecules from below which cannot give iodoform reaction is : Ethanol, Isopropyl alcohol, Bromoacetone, 2-Butanol,...
- Given below are two statements : Statement (I) : A catalyst cannot alter the equilibrium constant (K_C) of the reaction,...
- Match the List-I with List-II. List-I (Molecules/ion): (A) PF_5 (B) SF_6 (C) Ni(CO)_4 (D) [PtCl_4]^ 2- List-II (Hybridisation of...
- In a reaction A + B → C, initial concentrations of A and B are related as [A]_0 = 8[B]_0. The half lives of A and B are 10 min...