Important Points:
1. Measurement of Length:
a) A meter scale is used for lengths from10-3m to 102m.
b) A Vernier calipers is used for lengths to an accuracy of 10-4m.
c) A screw gauge and a spherometer are used to measure lengths as less as to 10 - 5 m.
d) Large distances such as the distance of a planet or a star from the earth can be measured by parallax method.
1 Parsec = 3.08 x 1016 m
e) To measure a very small size like that of a molecule (10-8 m to 10-10m) electron microscope can be used .Its resolution is...
Physical World
Important Points:
1. Science is exploring, experimenting and predicting from what we see around us.
2. The word Physics comes from a Greek word physis meaning nature.
3. Gravitational Force:
a) The gravitational force is the mutual force of attraction between any two objects by virtue of their masses. It is a universal force.
b) It plays an important role in the formation and evolution of stars, galaxies and galactic clusters.
4. Electromagnetic Force:
a) For a fixed distance, electromagnetic force between protons is...
Matrices
In mathematics, a matrix (plural matrices) is a rectangular array[1] of numbers, symbols, or expressions, arranged in rows and columns.[2][3] The individual items in a matrix are called its elements or entries. An example of a matrix with 2 rows and 3 columns is
Matrices of the same size can be added or subtracted element by element. But the rule for matrix multiplication is that two matrices can be multiplied only when the number of columns in the first equals the number of rows in the second. A major application of matrices...
Mean Value Theorems
In mathematics, the mean value theorem states, roughly: that given a planar arc between two endpoints, there is at least one point at which the tangent to the arc is parallel to the secant through its endpoints.
The theorem is used to prove global statements about a function on an interval starting from local hypotheses about derivatives at points of the interval.
More precisely, if a function f is continuous on the closed interval...
