Solve your IGNOU Doubts

Question:

e) The local time at Chennai is 9 p.m. Calculate the local time at Mumbai at that time.

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Show that the set of all matrices of order mn is a group under addition of matrices. Is this group abelian?

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d) Which telescope, optical or X-ray, would have higher resolving power for the same aperture? Calculate the magnitude of the faintest object that a 15 m optical telescope can detect.

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Show that velocity and acceleration are contravariant vectors.

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c) Show the horizon coordinates of a star X on a celestial sphere for a location at latitude $30^{\circ}$ N.

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Question:

Obtain eigenvalues and eigenvectors of the matrix

Image ignouassignments-ignouacademy-com--p-ignou-87146

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b) Calculate the ratio of the surface temperatures of the stars A and B from the following data:

Star	Absolute magnitude	Redius (Re)
A	2	62
B	6	4

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Question:

Obtain the values of $\lambda$ for which the matrix:

Image ignouassignments-ignouacademy-com--p-doubts-81404

will be orthogonal.

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Question:

a) The distance of planet Jupiter from the Sun is 5 AU. Express this distance in light year and parsec.

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What are ferroelectric materials? Explain with the example of BaTiO3. How are they different from piezoelectric materials?

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Question:

Explain addition and condensation polymerization with an example of each.

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Question:

d) Discuss in brief the following: i) Synchrotrons ii) Counters

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c) Identify whether the following particles are leptons, baryons or mesons:

Image ignouassignments-ignouacademy-com--p-solve-48848

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Question:

Calculate the mass of boron required to make a silicon crystal with $10^{16}$ $cm^{-3}$ doping density, if the initial melt load of silicon is 50 kg. The density of silicon in the melt is 2.5 g $cm^{-3}$ and boron has an atomic weight of 10.8 u. Assume that the equilibrium segregation coefficient k0is constant throughout the growth process.

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Question:

Determine the magnetic moment of $Co^{2+}Fe^{3+}\,_2O_4$ which has an inverse spinel structure.

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Question:

Calculate the critical field which would destroy superconductivity at 3 K in Hg which has a critical temperature TC = 4.153 K and B_ac(0) = 0.0411 T.

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Question:

b) Establish the relation for binding energy per nucleon for $\begin{matrix} A\\Z \end{matrix}X$ nuclei. Calculate the value of binding energy per nucleon for $\begin{matrix} 68\\28 \end{matrix}Ni$ Given:

Mass of Ni : 63.9280 u

Mass of proton : 1.007825 u

Mass of neutron : 1.008665 u

Is this nucleus stable?

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Question:

a) A radioisotope P has a half-life of $3 \,s.\,At\,t=0,$ a given sample of this isotope contains 8000 atoms. Calculate (i) its decay constant, (ii) average life, (iii) the time $t_1$ when 1000 atoms of the isotope P remain in the sample, and (iv) number of