Recent content by anirudh dutta

Homework Statement cal the boiling point of water at 300m. assume its 100 degree centigrade at sea level. given g, R, T=300K, molecular weight of air is 29g/mol and latent heat of evaporation is 540 cal/g at STP Homework Equations The equation is dp/dt= L/T(v2-v1) where v is the...

i tried that...but var(x*y)= [E(x)]2var(Y)+[E(y)]2var(x)+var(x)var(y)... putting x=y...E[y]=3*.5...var[y]=3*.5*.5 ( i have taken y be be a binomial variate ). thr answer i get is wrong

Homework Statement Let Y denote the number of heads obtained when three fair coins are tossed.The variance of Y2 is Homework Equations The Attempt at a Solution MY problem is understanding what Y2 is. i have tried to calculate VAR(Y*Y) but my answer is wrong

TRY this for a function to be harmonic its laplacian should be zero so \nabla2U = 0 ( i worked it out and it is true) THEN use the Cauchy Rienman conditions to determine v Finally the f(z)=U+iV

tried but didn't work

Homework Statement a heap of chain is lying on a table with a hole. A small part of chain is released through the hole.calculate the velocity as a function of the length of the chain hanging vertically. [Homework Equations The Attempt at a Solution if I take a mass element dm...

firstly the mathematical calculation is very tedious. So is there sm another meathod

see, since i have the potential energy fn, i can calculate the force by calculating the negative of grad of V. This force will be balanced by the centripetal corce i.e mv^2 /r. from here i can cal the velocity, v. thus the angular mom is simply mvr and total energy is P.E+K.E

Homework Statement a body of mass 1kg moves under the influence of a central force with potential energy question V(r)= -exp(-3r/2)/5r2 .it is found to move under a circular orbit of radius 2 m Homework Equations find the total energy and the angular momentum The Attempt at a Solution