A quantity of 80.0 g of a salt (XY) of strong acid and weak base, which has crystal structure such that anions form Simple cubic lattice and cations occupy centre of the cube, is dissolved in water to form 2.0 L aqueous solution. At 298 K, the pH of the solution is found to be 5.0. Neglect degree of hydrolysis of ion relative to one. Given :Kb of XOH=4×10−5,NA=6×1023,3=1.732,PKw=14,100.4=2.5,log2=0.30Density of solution 1g/cc, Molal boiling point elevation constant is 0.5 K-Kg/mol. Radius of cation and anion are 160 pm and 186.4 pm respectively.
A company has a net income of Rs. 1,20,000 and a dividend payout ratio of 40%. The company has 1,00,000 outstanding shares with a market value of Rs. 20 per share.
Two identical stars of mass M orbit around their centre of mass. Each orbit is circular and has radius R, so that the two stars are always on opposite sides of the circle, the velocity of each body is..
A solid cylinder of mass 2 kg and radius 50 cm rolls up an inclined plane of angle inclination 30°. The centre of mass of cylinder has speed of 4 m/s. The distance travelled by the cylinder on the incline surface will be : Take g=10m/s2
A wave in a string has an amplitude of 2 cm. The wave travels in the +ve direction of x axis with a speed of 128 ms-1 and it is noted that 5 complete waves fit in 4m length of the string. The equation describing the wave is
The angular frequency of a particle in a progressive wave in an elastic medium is 100πrads-1 and it is moving with a velocity of 200ms-1. The phase difference between two particles separated by a distance of 20m is
A coil has 1,000 turns and 500 cm2 as its area. The plane of the coil is placed at right angles to a magnetic induction field of 2 ×10–5wb/m2. The coil is rotated through 1800 in 0.2 seconds. The average e.m.f induced in the coil, in milli-volts.
A DNA molecule is 160 base pairs long. If it has 20% adenone, how many cytosine bases are present in this DNA molecule?
Out of Rs.50,000 that a man has, he lends Rs.8000 at 5½ per annum simple interest and Rs.24,000 at 6% per annum simple interest. He lends the remaining money at a certain rate of interest so that the gets total annual interest of Rs.3680. The rate of interest per annum, at which the remaining money is lent, is
