Red Rain Could Prove That Aliens Have Landed

well i am almost sure that it should go in forward direction using the normal logic that when pressure is increased the reaction procedes towards lesser number of mole. here pressure increase is equivalent to volume decrease.

Neutrinos

Neutrinos are extremely small particles that are produced by nuclear reactions. The crazy thing about them is that they barely interact with normal matter, like automobiles, dentists, or enchiladas. They're so weakly interacting that if you shot one through a lightyear of lead, it would only have a 50% chance of hitting anything along the way. Compare this to photons, which are what light is made out of. They're easily stopped by construction paper (and dentists).

Recently, physicists have theorized that out of all of the elemental particles that exist in the Universe, neutrinos are the most child-safe. Neutrinos also have a reputation for not being very fun at parties.

The nuclear fusion reactions in the Sun generate a huge number of neutrinos that are flying straight through the Earth all the time. The Sun generates so many neutrinos that one hundred billion of them pass through each of your fingernails every second.

Scientists detect neutrinos using tanks filled with fifty thousand tons of water, located one kilometer underground, to avoid interference. In the extremely rare event that one of the neutrinos flying through the tank hits one of the water molecules dead on, sensors on the walls of the tank register a very dim flash of light.

Every second, one billion billion neutrinos fly through the tank. The tank has roughly one hundred million billion billion water molecules in it. Despite the overwhelming odds, it is necessary to hire specially trained, extremely patient scientists to wait around for almost two hours before a single neutrino will hit one of the water molecules. During this period, the scientists will typically play poker or watch embarrassing YouTube videos of other scientists.

posted one long soln some time back.so am in no mood to post another long soln
i'll just explain the method. if you don't get the answer ask me to post it.--

first find velocity of com=(R-r)w where w=omega=ang velocity
taking theta as angle made by the line joining sphere and centre of circle(R) at some pt with vertical,find total energy at that pt where
potential energy=mg(R-r)(1-costheta)

put total energy=const
then take derivative with respect to time--
put sintheta = theta

final eqn is-- alpha/theta=omega square=5g/7(R-r) [omega=omega of shm0

b)
from conservation of momentum-
mx1=Mx2    --------------1
m(v1-v2)=M(v2)   --------2
where
v1=rel velocity of m with respect to M

total energy = constant=
0.5(Mv2square + m(v1-v2)square +k(x1+x2)square)         [using 1 and 2]
constant=Mv2square + Msquare*v2square/m +kx2square*(1+M/m)square
=Mv2square(1+M/m) +kx2square(1+M/m)sqaure
=Mv2square +kx2(1+M/m)

taking derivative with respect to time----
2*M*v2*a2=-k(1+M/m)*2*x2*v2
Ma2=-k(m+M)/m*x2
therefore
as a2=-wsquare x2
wsquare=k(M+m)/mM
T=2pie/w
=2pie underroot(Mm/k(m+M))

In the 6th century BC Greek mathematician Pythagoras said that earth is round - but few agreed with him.
Greek astronomer Aristarchos said in the 3rd century BC that earth revolves around the sun - but the idea was not accepted.
In the 2nd century BC Greek astronomer Erastosthenes accurately measured the distance around the earth at about 40,000 km (24,860 miles) - but nobody believed him.

The typical bolt of lightning heats the atmosphere to 50,000 degrees Fahrenheit.

when the block is shifted by a distance x along the spring c it is acted upon by 3 forces of a b and c
for a restoring force(f1)=kx
for b f2=kx cos45
for c f3=kx cos 45
the resultant of f2 and f3 is along f1
R2,3=underroot(k^2x^2cos^45+k^2x^2cos^45 +o)=kx
[f2 and f3 are perpendicular to each other]
therefore total restoring force=kx+kx=2kx
which is proportional to x, therefore s.h.m
now
2kx=mw^2x
w^2=2k/m
T=2pie /underroot(w^2)
=2pie underroot(m/2k)

A penny dropped from the top of a tall building could kill a pedestrian

A penny isn't the most aerodynamic of weapons. A combination of its shape and wind friction means that, tossed even from the 1,250-foot Empire State Building, it would travel fast enough merely to sting an unlucky pedestrian.

well i can explain the graph of sin2x.
this graph would have the same range but domain would be half that of sinx that is 2pie/2=pie hence the graph of sinx is the graph of sin2x only but within 0-pie

no now i think it is 4 only
by the method greatdreams used only-sin2x=+-1/underroot 2
and not only positive value hence we will get four values on drawing the graph

sorry it is 2 only

ans seems to be 4

Red Rain Could Prove That Aliens Have Landed

There is a small bottle containing a red fluid on a shelf in Sheffield University?s microbiology laboratory. The liquid looks cloudy and uninteresting. Yet, if one group of scientists is correct, the phial contains the first samples of extraterrestrial life isolated by researchers.

Inside the bottle are samples left over from one of the strangest incidents in recent meteorological history. On 25 July, 2001, blood-red rain fell over the Kerala district of western India. And these rain bursts continued for the next two months. All along the coast it rained crimson, turning local people?s clothes pink, burning leaves on trees and falling as scarlet sheets at some points.

Investigations suggested the rain was red because winds had swept up dust from Arabia and dumped it on Kerala. But Godfrey Louis, a physicist at Mahatma Gandhi University in Kottayam, after gathering samples left over from the rains, concluded this was nonsense. ?If you look at these particles under a microscope, you can see they are not dust, they have a clear biological appearance.? Instead Louis decided that the rain was made up of bacteria-like material that had been swept to Earth from a passing comet. In short, it rained aliens over India during the summer of 2001.

Not everyone is convinced by the idea, of course. Indeed most researchers think it is highly dubious. .

But a few researchers believe Louis may be on to something and are following up his work. Milton Wainwright, a microbiologist at Sheffield, is now testing samples of Kerala?s red rain. ?It is too early to say what?s in the phial,? he said. ?But it is certainly not dust. Nor is there any DNA there, but then alien bacteria would not necessarily contain DNA.?

Critical to Louis?s theory is the length of time the red rain fell on Kerala. Two months is too long for it to have been wind-borne dust, he says. In addition, one analysis showed the particles were 50 per cent carbon, 45 per cent oxygen with traces of sodium and iron: consistent with biological material. Louis also discovered that, hours before the first red rain fell, there was a loud sonic boom that shook houses in Kerala. Only an incoming meteorite could have triggered such a blast, he claims. This had broken from a passing comet and shot towards the coast, shedding microbes as it travelled. These then mixed with clouds and fell with the rain. Many scientists accept that comets may be rich in organic chemicals and a few, such as the late Fred Hoyle, the UK theorist, argued that life on Earth evolved from microbes that had been brought here on comets. But most researchers say that Louis is making too great a leap in connecting his rain with microbes from a comet.

For his part, Louis is unrepentant. ?If anybody hears a theory like this, that it is from a comet, they dismiss it as an unbelievable kind of conclusion. Unless people understand our arguments - people will just rule it out as an impossible thing, that extra-terrestrial biology is responsible for this red rain.?

source:internet

hey anandghegde
when water is in between plates the radius of curvature of water surface=r while that of the st line is infinity.hence--
excess p=T(1/r + 1/infinity)=T/r

ie 2TA*A/V