A compound AB has rock salt type structure. The formula weight of AB is 6.023 Y amu and the closest A-B distance is `Y^(1/3)`nm, where Y is an arbitrary number.
If the density of lattice is found to be `20kg m^-3` predict the type of defect.

A compound AB has rock salt type structure. The formula weight of AB is 6.023 Y amu and the closest A-B distance is Y^(1/3) nm, where Y is an arbitrary number. Find the density of the lattices.

A magnetic filed vecB=B_0 sin"(omega t)hatk covers a large region where a wire AB slides smoothly over two parallel conductors separated by a distance d (Fig. EP 6.22). The wires are in the x-y plane. The wire AB (of length d) has resistance R and parallel wires have negligible resistance. If AB is moving with velocity v, what is the current in the circuit? what is the force needed to keep the wire moving at constant velocity?

Using Mean value Theorem, prove that there is a point on the curve y = 2x^2 - 5x + 3 between the point A(1,0) and B(2,1). Where the tangent is parallel to the chord AB. Also find that point.

A steel wire of mass mu per unit length with a circular cross section has a radius of 0.1 cm. The wire is of length 10 m when measured lying horizontal, and hangs from a hook on the wall. A mass of 25 kg is hung from the free end of the wire. Assuming the wire to be uniform and lateral strains < < longitudinal strains, find the extension in the length of the wire. The density of steel is 7860 kg m^-3 (Young's modulues Y = 2 xx 10^11 N m^-2)

It is known that density rho of air decreases with height y (in metres) as : rho = rho_(0) e^(-y//y_0) where rho_0 = 1.25 kg m^-3 is the density at sea level and y_0 is a constant. This density variation is called the law of atmospheres. Obtain this law assuming the temperature of atomoshpere remains constant (isothermal conditions). Also assume that the value of g remains constant.

Consider the curve y = tan^(-1) x " and a point "A ( 1 , pi/4) on it. If the variable point P_(i)(x_(i) , y_(i)) moves on the curve for i = 1,2,3 , …. N ( n in N) " such that " y_(i) = sum_(m=1)^(i) tan ^(-1) ( 1/( 2 m^(2))) and B ( x,y) be the limiting position of variable point P_(n) " as " n to infty , then the value of reciprocal of the slope of AB will be ____

One end of a long string of linear mass density 8.0 xx 10^-3 kg m^-1 is connected to an electrically driven tuning fork of frequency 256 Hz. The other end passes over a pulley and is tied to a pan containing a mass of 90 kg. The pulley end absorbs all the incoming energy so that reflected waves at this end have negligible amplitude. At t= 0, the left end (fork end) of the string x = 0 has zero transverse displacement (y = 0) and is moving along positive y-direction. The amplitude of the wave is 5.0 cm. Write down the transverse displacement y asfunction of x and tthat describes the wave on the string

Let y=f(x)be curve passing through (1,sqrt3) such that tangent at any point P on the curve lying in the first quadrant has positive slope and the tangent and the normal at the point P cut the x-axis at A and B respectively so that the mid-point of AB is origin. Find the differential equation of the curve and hence determine f(x).

Calculate the Avogadro number from the following data of AB, when AB has NaCl type structure : Density of AB=2.48"g cm"^(-3),m=58"g mol"^(-1) Distance between A^(+)andB^(-) in AB = 2.69 pm.

The density of KBr is 2.75"gm cm"^(-3) . The edge length of unit cell is 654 pm. Predict the type of cubic lattice to which unit cell of KBr belongs. (N_(0)=6xx023xx10^(23)"mol"^(-1)) . Atomic mass of K = 39, Br = 80.