The distance
travelled is given by area under the curve of velocity-time graph.
The value of G is 6.67 x
10-11 N-m2/ Kg2.
Centripetal Force =
mv2/r.
Kinetic Energy = ½ mv2.
Potential Energy = mgh.
Temperature in
Celsius = 5/9 ( Tf - 32).
Bimetal strips are used in
thermostat.
The equatorial
radius is greater than polar radius by 21.5 km.
Centrifugal force is
zero exactly at the poles.
Newton’s first law
is regarding inertia.
Second law states
that the rate of change of momentum of a body is directly proportional to the
applied force & takes place in the direction of the force.
Force = mass x
acceleration.
Momentum = mass x
velocity.
Impulse = force
x time.
Work = Force
x distance in the direction of force.
Power = work
done/ Time taken.
Moment of a force =
Force x Perpendicular distance of the line of action of force from
the axis.
Escape
Velocity: GMm/r2 = mv2/ r. Solving we get: v = (GM/r) 1/2.
Moreover the centripetal force is equal to the gravitational force. Therefore, mv2/r
= mg. Solving we get v = (rg) 1/2. g = GM/r2. From the equation v = (GM/r) ½,
we see that v is inversely proportional to the square root of r. Thus
if a satellite moves from a higher orbit to a lower one, its speed increases.
Since the earth rotates form west to east, satellites are launched in a
easterly direction to give them additional push.
The substances in
ascending order of density are aluminium, copper, lead, mercury, gold
& platinum.
Pressure is force/area.
In
a hydraulic press the fundamental is that the ratio of the weight
& Area should be the same on both the sides when the opposite plates
are at the same level. For e.g. 10 N/ 5 cm2 = 80 N/ 40 cm2.
When ice melts in water
the level of water remains unchanged as the ice contracts.
Stokes
law for determining viscous force, F is F = 6phrv
where h is the coefficient of viscosity, r is the radius & v is the
velocity. After a stage the object acquires critical velocity which is higher
for heavier objects.
Pressure in a fluid
decreases with increased velocity of the fluid.
Surface tension
causes the hairs of a paint brush to contract when it is taken out of water.
Also sprinkling kerosene on water reduces its surface tension.
Capillarity causes
water to rise in a glass tube but mercury to drop because
of differential cohesion & adhesion.
Latent heat of fusion
is the heat required to convert a solid to liquid state.
Concave/convex mirrors
are made by depositing vaporized aluminium on a glass surface.
A convex mirror & plane
mirror always form virtual image.
A concave mirror forms a virtual or real image
depending on the position of the object. When the object is at a distance lower
than the focal length the image formed is larger & virtual. Hence concave
mirrors are used in make-up mirror & by dentists. If an object is held
close to a convex lens then the image formed is virtual & vice- versa. In
case of a concave or diverging lens all images are virtual.
Refractive index
is the ratio of speed of light in vacuum to speed in that medium.
The planets
do not appear to twinkle due to lesser refraction of the light coming from them due to lower distance.
Light can always pass from one
medium to an optically denser medium but not vice versa due to
total internal reflection.
Violet light travels at
the slowest speed & red the fastest in transparent medium.
Rainbow
is formed by dispersion & total internal reflection.
Red + Green = Yellow.
Red + Blue = Magenta
Green + Blue = Cyan.
Two colours which
when mixed give white are known as secondary colours like blue
& yellow.
In eye
accommodation is achieved by ciliary muscles.
Hypermetropia
is treated by converging lens & myopia by diverging lens.
Power of a lens = 1/
focal length.
A compound
microscope has two short focal length converging or convex lens.
The image seen in a microscope
is inverted.
An astronomical
telescope has an objective of long focal length & an eye lens
of short focal length.
An astronomical telescope also
produces an inverted image.
In terrestrial telescope
an extra lens is placed in between to produce an erect image of the
object.
In a CD
rainbow like colours are produced due to diffraction &
reflection & not due to interference.
Sound waves below 16 Hz
are infrasonic & above 20,000 Hz ultrasonic.
The presence
of water vapour increases the speed of sound. It travels faster on a
hot day than cold day.
On
a warm day the air near the ground is warmer than the air above. This causes
bending of sound away from the ground. The opposite happens on a cold day
causing the sound to bend towards the earth. Thus on a cold day sounds can be
heard
over long distances.
The angle which a suspended bar magnet makes
with the horizontal is called the angle of dip of the place.
It is zero at equator & 90o at poles.
When a glass rod is
rubbed with silk, the glass rod loose electrons & becomes positively charged &
VV.
Resistance
of a conductor R = µ L/A where µ is a constant called resistivity, L is
length & A is area. Resistivity of a good conductor increases with
temperature whereas for semiconductors it decreases.
Positive ions
collect at cathode & negative at anode.
Heat produced by
current H = I2Rt, where I is current in amperes, R is resistance in ohms & t
is time.
An inverter converts DC into AC.
In domestic
AC supplies 220 V is the effective value.
The peak value of voltage is 311
V. The frequency is 50 Hz.
A Fuse is made of tin-lead
alloy.
A fluorescent
tube contains mercury vapours at low pressure.
Infra red signals
are used in TV.
Protons & neutrons
are 1836 times heavier than electrons.
The heaviest
natural atom is that of Uranium.
Artificial
transmutation has been used to obtain elements beyond
uranium.
X rays
are produced when accelerated electrons strike tungsten sheet.
Number of protons is
the atomic number & protons +neutrons form the mass number.
For short
distances nuclear forces are stronger than electrostatic repulsive
forces.
In fission Uranium
(235) splits into Barium (56) & Krypton (36) &
ejects 3 neutrons.
Graphite or Heavy water
is used as moderator.
Boron or Cadmium
is used as controlling rods.
Bright spots
which are actually clusters of stars & gaseous clouds are called Nebulae.
Orion Nebula is one of them in
the Milky Way.
Major constellations are Orion (hunter),
Cygnus (swan), Hydra, Hercules
etc.
Hydra is the largest with 68
stars visible to naked eye & Centaurus has 94 stars.
Stars with mass
less 1.4 times solar mass (Chandrasekhar Limit) converts into a white dwarf.
Bigger than this converts neutron star (pulsar). Still bigger (mass greater
than 5 times solar mass) end up as black holes.
The layers of sun
are photosphere (core), chromosphere (surface) & corona (sun’s
atmosphere).
Ganymede, Callisto,
& Titan are bigger than planet mercury.
Uranus, Neptune &
Pluto cannot be seen by naked eye.
Ceres
is the largest known asteroid.
Kepler’s first law
states that each planet moves in an ellipse with the sun at one focus.
Kepler’s Second law
says that a line drawn form a planet to the sun sweeps out equal area in
equal times.
Kepler’s The third
law states that the ratio of the square of the planets year (T) to the cube of the
planet’s mean distance (A) from the sun is same for all the planets.
An OR
gate gives a 1 if either of the input signals is 1. NOT
gate generates a signal which is reverse of the original signal.
TCP (transfer
control protocol), URL (universal resource locator), XML (Extensible
markup language). CGI (common gateway interface).
One mile = 1.6
km.
One nautical mile =
1.85 km.
One gallon = 4.5
litres.
1 mm Hg = 133.3
pascal.
One ounce (oz) = 31.1
grams.
Parsec = 3.26
light years.
Bessemer process
is for making steel from cast iron.
Isotones are
nuclei having same number of neutrons but different number of protons.
Isotopes have
same number of protons but different neutrons.
Isobars are nucleides
with the same mass number.
Positron
is antiparticle of electron.
Tachyons
are particle supposed to travel at a super-luminal velocity.
According to Ohm’s law, V = IR,
& power P = VI or P = I2R.
The earthing pin is
longer to ensure that the gadget is earthed first & is thicker so that even
by mistake it cannot be inserted in the live hole of the socket.
The f-number in a photographic camera
is the focal length divided by the diameter of aperture.
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