A 2 year child comes with fever measuring 38°C. How will you assess and classify the child. What treatment will you give if the child comes from a high malaria risk area?
See Answer →Define low birth weight neonate, list the problems of low birth weight neonates and how will you manage a low birth weight neonate weighing 1900 gm and having gestational age of 35 weeks. Write the immunization schedule for this neonate.
See Answer →Using appropriate figures, show that the group S3 is not commutative.
See Answer →Show that a cyclic group is abelian.
See Answer →A toroid has mean circumference 0.4 m and has 600 turns, each carrying a current of 0.12 A. (a) Calculate H and B if the toroid has an air core. (b) Calculate B and the magnetisation M if the core is filled with iron of relative permeability 4000
See Answer →Obtain an expression for torque on a current loop kept in a uniform magnetic field.
See Answer →Using the Laplace transforms, solve the following initial value problem:
where
Calculate the magnetic field inside and outside of a very long solenoid consisting n turns per unit length on a cylinder of radius R and carrying a steady current I.
See Answer →Using the multipole expansion technique, obtain the expression for the magnetic vector potential due to a localized current distribution at a distant point.
See Answer →Considering a simple physical model of a dielectric as an aggregate of a large number of simple harmonic oscillators, obtain an expression for the dielectric constant.
See Answer →A point charge Q is situated at a distance D from the centre of an earthed conducting sphere of radius R where D > R. Using the method of images, determine the value and position of image charge and calculate the potential and electric field at a point outside the sphere.
See Answer →Obtain the Taylor series expansion of cos2 z about z = a.
See Answer →Consider a triangle P in the z-plane with vertices at i, 1 – i, 1 + i. Determine the triangle P0 which mapped P under the transformation w = 3z + 4 – 2i. What is the relation between P and P0 and also calculate the area magnification.
See Answer →Obtain the general solution of the two-dimensional Laplace’s equation in spherical polar coordinates given by
i) Show that the series converges for |z|< 1 and find its sum.
ii) Obtain the analytic function whose real part u(x, y ) ex cos y.
See Answer →Two identical infinite non-conducting sheets having equal positive surface charge densities are kept parallel to each other as shown in the Figure below. Determine the electric field at a point in (a) region A on the left of the sheet 1, (b) region B between the sheets and (iii) region C on the right of the sheets.
Consider three identical springs and two masses m1 = m and m2 = 2m , as shown in the figure. The motion of the two masses are constrained along the line joining them. Find the normal mode frequencies and the normal coordinates.
