Scalars
Vectors
Equality of vectors
Addition of vectors
Magnitude of av+bv = SQRT(a²+b²+ 2ab cos θ)
The angle of the resultant with av is α where
tanα = b sin θ/(a+b cos θ)
Interesting point to make note of:
Two vectors having equal magnitudes of a make an angle θ with each other. Find the magnitude and direction of the resultant(Resultant is output of the addition of two vectors.)
Magnitude = 2a cos θ/2
and
tan α = a sin θ/(a + a cos θ) = (2asin(θ/2)cos(θ/2))/(2acos²(θ/2))
= tan (θ/2)
Example: Two vectors are of equal magnitude of 10 units. One of them is inclined at 45° to the X-axis and the other is inclined at 75° to the X-axis. Find the magnitude and direction of the resultant with respect to X-axis.
The angle between vectors is 30°.
Hence magnitude of the resultant will be 20 cos 15°
The direction - The resultant is inclined at 60° to the X axis.
Subtraction of vectors
Multiplication of vector by a number
2.6 Resolution of vectors
2.7 Dot product or scalar of two vectors
2.8 Cross product or vector product of two vectors
Zero vector
2.9 Differential Calculus
Concepts form Calculus
dy/dx as rate measure
2.10 Maxima and minima
2.11 Integral Calculus
2.12 Significant digits
2.14 Errors in measurement
In recording measurements in experiments, several errors can occur. The equipment can be set in a faulty manner, and experimenter can make errors. These errors can be corrected by supervisors and trainers. But still some errors are committed due to random noncontrollable causes.
As random errors are sometime positive and sometimes negative, average is considered as true value. But sigma or standard deviation of the measurements can be calculated and 1.96 sigma limits and 3 sigma limits can be determined to specify confidence limits for true value. But at least 8 measurements are to be taken to get a good statistical estimate for average and standard deviation.
Update 20 May 2015
Earlier update 7 May 2008
Wednesday, May 20, 2015
Sunday, May 10, 2015
JEE Physics Blogs - LIfe Time Visitors and Page Views - 11 May 2015
I was happy to see today the site performance as reported by site meter
Learning Physics for IIT JEE
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http://www.sitemeter.com/?a=stats&s=s37iitjeeph
Learning Physics for IIT JEE
Site Summary
VISITS
Total 122,243
Average Per Day 32
Average Visit Length 1:28
Last Hour 0
Today 5
This Week 223
PAGE VIEWS
Total 268,051
Average Per Day 62
Average Per Visit 1.9
Last Hour 0
Today 7
This Week 433
http://www.sitemeter.com/?a=stats&s=s37iitjeeph
Friday, February 27, 2015
Physics Prize for Narayana Rao - Intermediate 1971
The Justification for My writing this blog. I have a responsibility to the society to share something that I have learned in the way I think will facilitate learning.
Saturday, January 31, 2015
IIT JEE Physics - Home Page
Study Plan,Revision and Quick Study Notes for Various Chapters
Chapters follow the sequence of Physics book by H.C. Verma
Chapters
1. Introduction to physics
Revision Notes
11. Gravitation
Study Guide and Revision Notes
12. Simple harmonic motion
Study Guide and Revision Notes
32. Electric Current in Conductors
Study Guide and Revision Notes
33. Thermal and Chemical Effects of Electric Current
Study Guide and Revision Notes
Chapters follow the sequence of Physics book by H.C. Verma
Chapters
1. Introduction to physics
Revision Notes
11. Gravitation
Study Guide and Revision Notes
12. Simple harmonic motion
Study Guide and Revision Notes
32. Electric Current in Conductors
Study Guide and Revision Notes
33. Thermal and Chemical Effects of Electric Current
Study Guide and Revision Notes
Tuesday, January 6, 2015
January - History of Physics
http://www.aps.org/publications/apsnews/features/history.cfm
January 2, 1839: First Daguerreotype of the Moon
http://www.aps.org/publications/apsnews/201301/physicshistory.cfm
28 - The Challenger Explosion
http://www.aps.org/publications/apsnews/200101/history.cfm
Micrographia by Robert Hooke first appeared in bookshops in January 1665. For scientists, it provided not only a wealth of new data but an articulate and beautifully presented justification for experimental science. Every one of the 60 observations in the Micrographia are detailed starting points for further physical investigations, accompanied by 58 stunning engravings.
http://www.aps.org/publications/apsnews/200201/history.cfm
Birthdays for January:
1: Satyendranath Bose (1894)
8: Stephen Hawking (1942)
22: André Marie Ampère (1775); Lev D. Landau (1908)
23: David Hilbert (1862); Hideki Yukawa (1907)
25: J. L. Lagrange (1736)
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