BSc Sem V 2015 2016 2016 Math Question Paper - Mumbai University | munotes
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Questions asked in this paper
the meaning stated otherwise
al non programmable calculators is allowed
by of separation of variables
at a rate proportional to the amount present
y instant. and m, grams of uranium are present at timet,
Show that halflife of uranium is 5
Spive the equation by sucessive integration
i) Write ihe expansion of f(x). Obtain the complex form of Fourier
series expansion, Consider a single pulse of height and with
Obtain cémplex of Fourier Integral. 10
Prove th func nental law of thermodynamics for infinitesimal
) at mean by thermal interaction and external parameters?
cast of thermal interaction (U)= 10
i) Show that the of asystem tn a heat bath is given by
ii) fine particle st system states. Explain with one example each
ii) What are bosons Derive Bose-Einstein distribution law. 10
i) box y ith its top surface divided in two cells of areas in the
and 12 idential balls are thrown in the box in a completely
manner, Calculate the probability of the distribution of equal
of balls in each box and probability of the most probable
the a erage energy of a Planck's oscillator of frequency
= exact. Solve the equation for this
ay show that
have their usual meaning
i) A syst stinguishabie particles has total energy 12 units. There
are non-degenerate energy levels with energies 1,2,3 & 4 units
ible to all’ Find the various distributions possible for
the ystem he number of accessible microstates far each
distribution. Which is the most probable distribution? 4
ii) Ina a ution of 10 particles between two boxes with equal
(a) probability of distribution (3,7), (b) total no
of ma and microstaes, (c) No. of microstates in macrostate
Wig the help of neat diagram, explain the experiment which shows
black bo temperature radiates energy faster than any
ii) ‘la 7 ation formula for black body radiation. Hence obtain
al non programmable calculators is allowed
by of separation of variables
at a rate proportional to the amount present
y instant. and m, grams of uranium are present at timet,
Show that halflife of uranium is 5
Spive the equation by sucessive integration
i) Write ihe expansion of f(x). Obtain the complex form of Fourier
series expansion, Consider a single pulse of height and with
Obtain cémplex of Fourier Integral. 10
Prove th func nental law of thermodynamics for infinitesimal
) at mean by thermal interaction and external parameters?
cast of thermal interaction (U)= 10
i) Show that the of asystem tn a heat bath is given by
ii) fine particle st system states. Explain with one example each
ii) What are bosons Derive Bose-Einstein distribution law. 10
i) box y ith its top surface divided in two cells of areas in the
and 12 idential balls are thrown in the box in a completely
manner, Calculate the probability of the distribution of equal
of balls in each box and probability of the most probable
the a erage energy of a Planck's oscillator of frequency
= exact. Solve the equation for this
ay show that
have their usual meaning
i) A syst stinguishabie particles has total energy 12 units. There
are non-degenerate energy levels with energies 1,2,3 & 4 units
ible to all’ Find the various distributions possible for
the ystem he number of accessible microstates far each
distribution. Which is the most probable distribution? 4
ii) Ina a ution of 10 particles between two boxes with equal
(a) probability of distribution (3,7), (b) total no
of ma and microstaes, (c) No. of microstates in macrostate
Wig the help of neat diagram, explain the experiment which shows
black bo temperature radiates energy faster than any
ii) ‘la 7 ation formula for black body radiation. Hence obtain
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