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Conceptual Physics NAME: Homework 1a: Classical Mechanics Homeworks are due usually a day after the corresponding textbook part/lecture is completed

[PDF] US05CPHY01 Classical Mechanics - VP & RPTP Science College

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Classical Mechanics [PHY4102] 2)Short Answer questions Compare Newtonian, Lagrangian and Hamiltonian formulation and discuss the advantages

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Textbook: Classical Mechanics by John R Taylor (University Science Books You will have until 11:55 pm on Tuesday to submit your answers form: http:// www utsc utoronto ca/∼registrar/resources/ pdf _general/UTSCmedicalcertificate pdf

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[PDF] US05CPHY01 Classical Mechanics - VP & RPTP Science College

51937_7QuestionBankUS05CPHY01Unit1to4PMP.pdf 1 V.P.& R.P.T.P.SCIENCE COLLEGE, PHYSICS DEPARTMENT, BY: DR.P.M.PATEL .͵{ĭ͵ Λ{ĻƒĻƭƷĻƩ Ώ ЎΜ {ǒĬƆĻĭƷʹ tŷǤƭźĭƭ /ƚǒƩƭĻʹ ...{ЉЎ/tIЉЊ /ƌğƭƭźĭğƌ aĻĭŷğƓźĭƭ vǒĻƭƷźƚƓ .ğƓƉ ...bLʹ L aǒƌƷźƦƌĻ ĭŷƚźĭĻ ƨǒĻƭƷźƚƓƭʹ

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ΛğΜ wĻƦǒƌƭźǝĻ ΛĬΜ !ƷƷƩğĭƷźǝĻ

ΛĭΜĻƩƚ ΛķΜ LƓŅźƓźƷǤ

ΛЋΜ ŷĻ ǝğƌǒĻ ƚŅ ǒƓźǝĻƩƭğƌ ŭƩğǝźƷğƷźƚƓğƌ ĭƚƓƭƷğƓƷ D źƭ ΗΗΗΗΗΗΗΗΗΗΗ

ΛğΜ ЍќЊЉ

ЍЋ bƒЋΉYŭЋ ΛĬΜЏ͵ЏАќЊЉњЊЊ bƒЋΉYŭЋ

ΛĭΜ В͵БЊĭƒΉƭĻĭ Ћ ΛķΜ Џ͵ЏАќЊЉΏЊЊ bƒЋΉYŭЋ

ΛЌΜ ŷĻ ǝğƌǒĻ ƚŅ ƷŷĻ ƦĻƩƒźƷƷźǝźƷǤ ƚŅ ƷŷĻ ǝğĭǒǒƒ ઀

Љ źƭ ΗΗΗΗΗΗΗΗΗΗΗ

ΛğΜ Б͵ЊќЊЉ

ЊЋ ĭƚǒƌΉbƒЋ ΛĬΜ Б͵ЊќЊЉЊЋ ĭƚǒƌЋΉbƒЋ

ΛĭΜ Б͵ВќЊЉ

ΏЊЋ ĭƚǒƌЋΉbƒЋ ΛķΜ Б͵ВќЊЉЊЋ ĭƚǒƌЋΉbƒЋ

ΛЍΜ ŷĻ ĻƌĻĭƷƩƚƭƷğƷźĭ ŅƚƩĭĻƭ ğƩĻ ǝĻƩǤ ƒǒĭŷ ΗΗΗΗΗΗΗΗΗƷŷğƓ ƷŷĻ ŭƩğǝźƷğƷźƚƓğƌ ŅƚƩĭĻƭ źƓ ƷŷĻ

źƓƷĻƩğĭƷźƚƓ ƚŅ ğƷƚƒźĭ ğƓķ ƭǒĬğƷƚƒźĭ ƦğƩƷźĭƌĻƭ͵

ΛğΜ tƚƚƩ ΛĬΜ {ƷƩƚƓŭĻƩ ΛĭΜ 9ƨǒğƌ ΛķΜ [ƚǞĻƩ

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ΛğΜ Ʃ ΛĬΜ Ʃ

Λ ĭ Μ ЊΉƩ

Ћ ΛķΜ ЊΉƩ

ΛЏΜ ŷĻ ƦƚƷĻƓƷźğƌ ķǒĻ Ʒƚ ķźƦƚƌĻ Ņğƌƌƭ ƚŅŅ ğƭ ΗΗΗΗΗΗΗΗΗΗ

ΛğΜ Ʃ ΛĬΜ Ʃ

Λ ĭ Μ ЊΉƩ

Ћ ΛķΜ ЊΉƩ

ΛАΜ ŷĻ ŅźĻƌķ źƓƷĻƓƭźƷǤ ƚŅ ğ ķźƦƚƌĻ ǝğƩźĻƭ ğƭ ΗΗΗΗΗΗΗΗΗΗ

ΛğΜ ЊΉƩ

Ќ ΛĬΜ ƩЋ

Λ ĭ Μ ЊΉƩ

Ћ ΛķΜ ЊΉƩ

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ΛğΜ ĻƩƚ ΛĬΜ ğƷƷƩğĭƷźǝĻ

Λĭ Μ ƩĻƦǒƌƭźǝĻ ΛķΜ źƓŅźƓźƷǤ

ΛВΜ ŷĻ ĻƌĻĭƷƩƚƭƷğƷźĭ ŅƚƩĭĻ ĬĻƷǞĻĻƓ ƷǞƚ ƌźƉĻ ĭŷğƩŭĻƭ ğƩĻ ΗΗΗΗΗΗΗΗΗ

ΛğΜ ĻƩƚ ΛĬΜ ğƷƷƩğĭƷźǝĻ

Λĭ Μ ƩĻƦǒƌƭźǝĻ ΛķΜ źƓŅźƓźƷǤ

ΛЊЉΜ ŷĻ ğƓŭǒƌğƩ ƒƚƒĻƓƷǒƒ źƭ ΗΗΗΗΗΗΗΗΗ źƓ ğ ĭĻƓƷƩğƌ ŅƚƩĭĻ ŅźĻƌķ͵

ΛğΜ ĻƩƚ ΛĬΜ bƚƷ ĭƚƓƭĻƩǝĻķ

Λĭ Μ źƓŅźƓźƷǤ ΛķΜ ĭƚƓƭĻƩǝĻķ

ΛЊЊΜ ŷĻ ğƩĻğƌ ǝĻƌƚĭźƷǤ ƚŅ ƷŷĻ ƦğƩƷźĭƌĻ źƓ ğ ĭĻƓƷƩğƌ ŅƚƩĭĻ ŅźĻƌķ źƭ ΗΗΗΗΗΗΗ

ΛğΜ ĻƩƚ ΛĬΜ ĭƚƓƭĻƩǝĻķ

Λĭ Μ źƓŅźƓźƷǤ ΛķΜ bƚƷ ĭƚƓƭĻƩǝĻķ

2 V.P.& R.P.T.P.SCIENCE COLLEGE, PHYSICS DEPARTMENT, BY: DR.P.M.PATEL

ΛЊЋΜ !Ʒ ƷŷĻ ƷǒƩƓźƓŭ ƦƚźƓƷ źƓ ğƓ ğƩĬźƷƩğƩǤ ƦƚƷĻƓƷźğƌ ŅźĻƌķ ƷŷĻ Ʃğķźğƌ ǝĻƌƚĭźƷǤ źƭ ΗΗΗΗΗΗ

ΛğΜ ĻƩƚ ΛĬΜ Њ Λĭ Μ źƓŅźƓźƷǤ ΛķΜЊΉЋ

ΛЊЌΜ CƚƩ ŷǤƦĻƩĬƚƌźĭ ƚƩĬźƷ ƷŷĻ ǝğƌǒĻƭ ƚŅ ĻƓĻƩŭǤ 9 ğƓķ ĻĭĭĻƓƷƩźĭźƷǤ ઀ ğƩĻ ΗΗΗΗΗΗ

ΛğΜ 9ўЉ ğƓķ ઀ॷЊ ΛĬΜ 9ॷЉ ğƓķ ઀ॷЊ

Λĭ Μ 9ॷЉ ğƓķ ઀ўЊ ΛķΜ 9ॷЉ ğƓķ ઀ўЉ

ΛЊЍΜ CƚƩ ƦğƩğĬƚƌźĭ ƚƩĬźƷ ƷŷĻ ǝğƌǒĻƭ ƚŅ ĻƓĻƩŭǤ 9 ğƓķ ĻĭĭĻƓƷƩźĭźƷǤ ઀ ğƩĻ ΗΗΗΗΗΗ

ΛğΜ 9ўЉ ğƓķ ઀ўЊ ΛĬΜ 9ॷЉ ğƓķ ઀ॷЊ

Λĭ Μ 9ॷЉ ğƓķ ઀ўЊ ΛķΜ 9ॷЉ ğƓķ ઀ўЉ

ΛЊЎΜ CƚƩ ĻƌƌźƦƷźĭğƌ ƚƩĬźƷ ƷŷĻ ǝğƌǒĻƭ ƚŅ ĻƓĻƩŭǤ 9 ğƓķ ĻĭĭĻƓƷƩźĭźƷǤ ઀ ğƩĻ ΗΗΗΗΗΗ

ΛğΜ 9ўЉ ğƓķ ઀ॷЊ ΛĬΜ 9ॷЉ ğƓķ ઀ॷЊ

Λĭ Μ 9ॶЉ ğƓķ ઀ॶЊ ΛķΜ 9ॷЉ ğƓķ ઀ўЉ

ΛЊЏΜ CƚƩ ĭźƩĭǒƌğƩ ƚƩĬźƷ ƷŷĻ ǝğƌǒĻ ƚŅ ĻĭĭĻƓƷƩźĭźƷǤ ΗΗΗΗΗΗ

ΛğΜ ઀ॷЊ ΛĬΜ ઀ѥЊ Λĭ Μ ઀ॶЊ ΛķΜ ઀ўЉ

ΛЊАΜ !ƌƌ ƷŷĻ ƦƌğƓĻƷ ƒƚǝĻƭ ğƩƚǒƓķ ƷŷĻ {ǒƓ źƓ ΗΗΗΗΗΗΗ ƚƩĬźƷ͵

ΛğΜ ĭźƩĭǒƌğƩ ΛĬΜ ƦğƩğĬƚƌźĭ

Λĭ Μ ŷǤƦĻƩĬƚƌźĭ ΛķΜ ĻƌƌźƦƷźĭğƌ

{ŷƚƩƷ vǒĻƭƷźƚƓƭʹ

Њ͵ {ƷğƷĻ ƷŷĻ bĻǞƷƚƓ͸ƭ ƌğǞ ƚŅ ŭƩğǝźƷğƷźƚƓ

Ћ͵ {ƷğƷĻ ƷŷĻ /ƚǒƌƚƒĬ͸ƭ źƓǝĻƩƭĻ ƭƨǒğƩĻ ƌğǞ

Ќ͵ ŷğƷ źƭ ƷŷĻ ƩğƷźƚ ƚŅ ĻƌĻĭƷƩƚƭƷğƷźĭ ŅƚƩĭĻ Ʒƚ ŭƩğǝźƷğƷźƚƓğƌ ŅƚƩĭĻ źƓ ƷŷĻ ĭğƭĻ ƚŅ ĻƌĻĭƷƩƚƓ

Ѝ͵ 5ĻŅźƓĻ ĻƨǒźƦƚƷĻƓƷźğƌ ƭǒƩŅğĭĻ

Ў͵ {ƷğƷĻ ƷŷĻ Dğǒƭƭ͸ ƌğǞ ŅƚƩ ƷŷĻ Ņƌǒǣ

Џ͵ ƩźƷĻ ƷŷĻ tƚźƭƭƚƓ͸ƭ ĻƨǒğƷźƚƓ źƓ /ğƩƷĻƭźğƓ ĭƚƚƩķźƓğƷĻ ƭǤƭƷĻƒ

А͵ ƩźƷĻ ƷŷĻ [ğƦƌğĭĻ͸ƭ ĻƨǒğƷźƚƓ

Б͵ 5ĻŅźƓĻ ĻƌĻĭƷƩźĭ ķźƦƚƌĻ

В͵ ƩźƷĻ ƷŷĻ ĻǣƦƩĻƭƭźƚƓ ƚŅ ƦƚƷĻƓƷźğƌ ķǒĻ Ʒƚ ĻƌĻĭƷƩźĭ ķźƦƚƌĻ ğƷ ğ ķźƭƷğƓĭĻ Ʃ

ЊЉ͵ ƩźƷĻ ƷŷĻ ĻƨǒğƷźƚƓ ƚŅ ƒƚƷźƚƓ ŅƚƩ ƷǞƚ ĬƚķǤ ƒƚǝźƓŭ ǒƓķĻƩ ƷŷĻ ğĭƷźƚƓ ƚŅ źƓƷĻƩƓğƌ ŅƚƩĭĻƭ

ЊЊ͵ 5ĻŅźƓĻ ƷŷĻ ĭĻƓƷƩğƌ ŅƚƩĭĻ ŅźĻƌķ

ЊЋ͵ {ƷğƷĻ ƷŷĻ źƓǝĻƩƭĻ ƭƨǒğƩĻ ƌğǞ ŅƚƩĭĻ

ЊЌ͵ {ƷğƷĻ ƷŷĻ YĻƦƌĻƩ͸ƭ ŅźƩƭƷ ƌğǞ ƚŅ ƦƌğƓĻƷğƩǤ ƒƚƷźƚƓ

ЊЍ͵ {ƷğƷĻ ƷŷĻ YĻƦƌĻƩ͸ƭ ƭĻĭƚƓķ ƌğǞ ƚŅ ƦƌğƓĻƷğƩǤ ƒƚƷźƚƓ

ЊЎ͵ {ƷğƷĻ ƷŷĻ YĻƦƌĻƩ͸ƭ ƷŷźƩķ ƌğǞ ƚŅ ƦƌğƓĻƷğƩǤ ƒƚƷźƚƓ

ЊЏ͵ 5ĻŅźƓĻ ĻƌƌźƦƷźĭğƌ ƚƩĬźƷ ЊА͵ 5ĻŅźƓĻ ŷǤƦĻƩĬƚƌźĭ ƚƩĬźƷ ЊБ͵ 5ĻŅźƓĻ ƦğƩğĬƚƌźĭ ƚƩĬźƷ

ЊВ͵ ŷźĭŷ ŅƚƩĭĻ źƭ ƩĻƨǒźƩĻķ Ʒƚ ƚĬƷğźƓ ĭźƩĭǒƌğƩ ƒƚƷźƚƓ ƚŅ ƷŷĻ ƦğƩƷźĭƌĻ ğƩƚǒƓķ ƷŷĻ ĭĻƓƷƩĻ ƚŅ

ƷŷĻ ŅƚƩĭĻ

3 V.P.& R.P.T.P.SCIENCE COLLEGE, PHYSICS DEPARTMENT, BY: DR.P.M.PATEL [ƚƓŭ vǒĻƭƷźƚƓƭʹ

Њ͵ 9ǣƦƌğźƓ ƷŷĻ ƌğǞƭ ƚŅ ŭƩğǝźƷğƷźƚƓğƌ ğƓķ ĻƌĻĭƷƩƚƒğŭƓĻƷźĭ ŅƚƩĭĻƭ ğƓķ ƭŷƚǞ ƷŷğƷ

ĻƌĻĭƷƩƚƒğŭƓĻƷźĭ ŅƚƩĭĻƭ ğƩĻ ƒǒĭŷ ƭƷƩƚƓŭĻƩ ƷŷğƓ ƷŷĻ ŭƩğǝźƷğƷźƚƓğƌ ŅƚƩĭĻƭ źƓ ƷŷĻ źƓƷĻƩğĭƷźƚƓ

ƚŅ ğƷƚƒźĭ ğƓķ ƭǒĬğƷƚƒźĭ ƦğƩƷźĭƌĻƭ͵

Ћ͵ 5ĻƩźǝĻ ƷŷĻ ĻǣƦƩĻƭƭźƚƓƭ ŅƚƩ ŭƩğǝźƷğƷźƚƓğƌ ğƓķ ĻƌĻĭƷƩƚƭƷğƷźĭ ŅźĻƌķƭ ğƓķ ƦƚƷĻƓƷźğƌƭ͵

Ќ͵ 5ĻƩźǝĻ ƷŷĻ Dğǒƭƭ͸ ƌğǞ ŅƚƩ ĻƌĻĭƷƩƚƭƷğƷźĭ ŅźĻƌķƭ͵

Ѝ͵ ...ƭźƓŭ ƷŷĻ Dğǒƭƭ͸ ƌğǞ ƚĬƷğźƓ ƷŷĻ ĻǣƦƩĻƭƭźƚƓ ƚŅ [ğƦƌğĭĻ ĻƨǒğƷźƚƓ͵

Ў͵ 5ĻƩźǝĻ ƷŷĻ ĻǣƦƩĻƭƭźƚƓƭ ƚŅ ŅźĻƌķƭ ğƓķ ƦƚƷĻƓƷźğƌƭ ŅƚƩ ķźƦƚƌĻ͵

Џ͵ 5ĻƩźǝĻ ƷŷĻ ĻƨǒğƷźƚƓ ƚŅ ƒƚƷźƚƓ ƚŅ ĻƨǒźǝğƌĻƓƷ ƚƓĻ ĬƚķǤ ğƓķ ĻǣƦƌğźƓ ǞŷǤ ğƦƦƌĻ Ņğƌƌƭ ƷƚǞğƩķ

ƷŷĻ ĻğƩƷŷ ğƓķ ƓƚƷ ƷŷĻ ĻğƩƷŷ ƷƚǞğƩķƭ ƷŷĻ ğƦƦƌĻͪ

А͵ 5źƭĭǒƭƭ ƷŷĻ ƒƚƷźƚƓ ƚŅ ğ ƦğƩƷźĭƌĻ źƓ ğ ĭĻƓƷƩğƌ ŅƚƩĭĻ ŅźĻƌķ ğƓķ ƦƩƚǝĻ ƷŷĻ ĭƚƓƭĻƩǝğƷźƚƓ ƌğǞƭ

ƚŅ ƌźƓĻğƩ ƒƚƒĻƓƷǒƒ ğƓķ ƷƚƷğƌ ĻƓĻƩŭǤ͵

Б͵ 5źƭĭǒƭƭ ƷŷĻ ƒƚƷźƚƓ ƚŅ ğ ƦğƩƷźĭƌĻ źƓ ğƓ ğƩĬźƷƩğƩǤ ƦƚƷĻƓƷźğƌ ŅźĻƌķ͵

В͵ 9ǣƦƌğźƓ ƷŷĻ ƒƚƷźƚƓ ƚŅ ğ ƦğƩƷźĭƌĻ źƓ ğƓ źƓǝĻƩƭĻ ƭƨǒğƩĻ ƌğǞ ŅƚƩĭĻ ŅźĻƌķ ǞźƷŷ ƭƦĻĭźğƌ ĭğƭĻƭ͵

ЊЉ͵ 5ĻƩźǝĻ ƷŷĻ ƦƚƌğƩ ĻƨǒğƷźƚƓ ƚŅ ĻƌƌźƦƷźĭğƌ ƚƩĬźƷ͵

ЊЊ͵ {ƷğƷĻ ƷŷĻ YĻƦƌĻƩ͸ƭ ƌğǞ ƚŅ ƦƌğƓĻƷğƩǤ ƒƚƷźƚƓ ğƓķ ķĻƩźǝĻ ƷŷĻ YĻƦƌĻƩ͸ƭ ƷŷźƩķ ƌğǞ ƚŅ ƦƌğƓĻƷğƩǤ

ƒƚƷźƚƓ͵

...bLΏLL aǒƌƷźƦƌĻ ĭŷƚźĭĻ ƨǒĻƭƷźƚƓƭʹ

ΛЊΜ ŷĻ ķĻŭƩĻĻ ƚŅ ŅƩĻĻķƚƒ ŅƚƩ ğ ŅƩĻĻ ƦğƩƷźĭƌĻ źƓ ƭƦğĭĻ ğƩĻ ΗΗΗΗΗΗΗΗΗ

ΛğΜ ƚƓĻ ΛĬΜ ƷǞƚ Λĭ Μ ƷŷƩĻĻ ΛķΜ ǩĻƩƚ

ΛЋΜ ŷĻ ƓǒƒĬĻƩ ƚŅ źƓķĻƦĻƓķĻƓƷ ǝğƩźğĬƌĻ ŅƚƩ ğ ŅƩĻĻ ƦğƩƷźĭƌĻ źƓ ƭƦğĭĻ ğƩĻ ΗΗΗΗΗΗ

ΛğΜ ǩĻƩƚ ΛĬΜ ƚƓĻ Λĭ Μ ƷǞƚ ΛķΜ ƷŷƩĻĻ

ΛЌΜ ŷĻ ķĻŭƩĻĻ ƚŅ ŅƩĻĻķƚƒ ŅƚƩ b ƦğƩƷźĭƌĻƭ źƓ ƭƦğĭĻ ğƩĻ ΗΗΗΗΗΗΗΗΗ

ΛğΜ Ћb ΛĬΜ Ќb

Λĭ Μ b ΛķΜ ǩĻƩƚ

ΛЍΜ ŷĻ ƓǒƒĬĻƩ ƚŅ źƓķĻƦĻƓķĻƓƷ ǝğƩźğĬƌĻ ŅƚƩ ğ ŅƩĻĻ ƦğƩƷźĭƌĻ źƓ ƭƦğĭĻ ğƩĻ ΗΗΗΗΗΗ

ΛğΜ b ΛĬΜ Ћb

Λĭ Μ Ќb ΛķΜ ǩĻƩƚ

ΛЎΜ ΗΗΗΗΗΗΗΗΗΗΗ ĭƚƓƭƷƩğźƓƷƭ ğƩĻ źƓķĻƦĻƓķĻƓƷ ƚŅ ƷźƒĻ͵

ΛğΜ IƚƌƚƓƚƒźĭ ΛĬΜ bƚƓΏIƚƌƚƓƚƒźĭ

Λĭ Μ {ĭƌĻƩƚƓƚƒƚǒƭ ΛķΜ wŷĻƚƓƚƒƚǒƭ

ΛЏΜ ΗΗΗΗΗΗΗΗΗΗΗ ĭƚƓƭƷƩğźƓƷƭ ğƩĻ ƷźƒĻ ķĻƦĻƓķĻƓƷ͵

ΛğΜ IƚƌƚƓƚƒźĭ ΛĬΜ bƚƓΏIƚƌƚƓƚƒźĭ

Λĭ Μ {ĭƌĻƩƚƓƚƒƚǒƭ ΛķΜ wŷĻƚƓƚƒƚǒƭ

ΛАΜ ŷĻ ŭĻƓĻƩğƌźǩĻķ ĭƚƚƩķźƓğƷĻƭ ŅƚƩ ƒƚƷźƚƓ ƚŅ ğ ƦğƩƷźĭƌĻ ƒƚǝźƓŭ ƚƓ ƷŷĻ ƭǒƩŅğĭĻ ƚŅ ğ ƭƦŷĻƩĻ

ƚŅ Ʃğķźǒƭ ͷࡄ ͸ ğƩĻ ΗΗΗΗΗΗΗΗΗ

ΛğΜ ࡄ ğƓķ ʚ ΛĬΜ ࡄ ğƓķ ʱ Λĭ Μ ʚ ğƓķ ʱ ΛķΜ Љ ğƓķ ʱ

ΛБΜ ŷĻ [ğŭƩğƓŭźğƓ ĻƨǒğƷźƚƓƭ ƚŅ ƒƚƷźƚƓ ğƩĻ ΗΗΗΗΗΗΗΗΗΗΗ ƚƩķĻƩ ķźŅŅĻƩĻƓƷźğƌ ĻƨǒğƷźƚƓƭ͵

ΛğΜ ŅźƩƭƷ ΛĬΜ ƭĻĭƚƓķ Λĭ Μ ǩĻƩƚ ΛķΜ ŅƚƩƷŷ 4 V.P.& R.P.T.P.SCIENCE COLLEGE, PHYSICS DEPARTMENT, BY: DR.P.M.PATEL

ΛВΜ ŷĻ [ğŭƩğƓŭĻ͸ƭ ĻƨǒğƷźƚƓƭ ƚŅ ƒƚƷźƚƓ ŅƚƩ ğ ƭǤƭƷĻƒ źƭ ĻƨǒźǝğƌĻƓƷ Ʒƚ ΗΗΗΗΗΗΗ ĻƨǒğƷźƚƓƭ ƚŅ

ƒƚƷźƚƓ͵

ΛğΜ bĻǞƷƚƓ͸ƭ ΛĬΜ [ğƦƌğĭĻ Λĭ Μ tƚźƭƭƚƓ ΛķΜ ağǣǞĻƌƌ͸ƭ

ΛЊЉΜ ŷĻ [ğŭƩğƓŭźğƓ ŅǒƓĭƷźƚƓ źƭ ķĻŅźƓĻ ĬǤ ΗΗΗΗΗΗΗΗΗΗΗΗ

ΛğΜ ݋ ൩ ݅ ൢ ݕ ΛĬΜ ࢕ ൩ ࢝ ൣ ࢟ Λĭ Μ ݋ ൩ ݓ ൢ ݕ ΛķΜ ݋ ൩ ݅ ൣ ݕ

ΛЊЊΜ ŷĻ IğƒźƌƷƚƓźğƓ ŅǒƓĭƷźƚƓ źƭ ķĻŅźƓĻ ĬǤ ΗΗΗΗΗΗΗΗΗΗΗΗ

ΛĬΜ ݇ ൩ ݅ ൢ ݕ ΛĬΜ ݇ ൩ ݓ ൣ ݕ Λĭ Μ ࢑ ൩ ࢝ ൢ ࢟ ΛķΜ ݇ ൩ ݅ ൣ ݕ {ŷƚƩƷ vǒĻƭƷźƚƓƭʹ

Њ͵ 5ĻŅźƓĻ ĭƚƓƭƷƩğźƓƷ ƒƚƷźƚƓ͵

Ћ͵ ŷğƷ źƭ ķĻŭƩĻĻ ƚŅ ŅƩĻĻķƚƒͪ

Ќ͵ ŷğƷ źƭ ǝźƩƷǒğƌ ķźƭƦƌğĭĻƒĻƓƷͪ

Ѝ͵ 5ĻŅźƓĻ IƚƌƚƓƚƒźĭ ğƓķ ƓƚƓΏŷƚƌƚƓƚƒźĭ ĭƚƓƭƷƩğźƓƷƭ͵

Ў͵ 5ĻŅźƓĻ {ĭƌĻƩƚƓƚƒƚǒƭ ğƓķ wŷĻƚƓƚƒƚǒƭ ĭƚƓƭƷƩğźƓƷƭ͵

Џ͵ {ƷğƷĻ ƷŷĻ 5͸!ƌĻƒĬĻƩƷ͸ƭ ƦƩźƓĭźƦƌĻ źƓ ǞƚƩķƭ͵

А͵ ƩźƷĻ ƷŷĻ [ğŭƩğƓŭĻ͸ƭ ĻƨǒğƷźƚƓ ƚŅ ƒƚƷźƚƓ ŅƚƩ ĭƚƓƭĻƩǝğƷźǝĻ ƭǤƭƷĻƒ͵

Б͵ ƩźƷĻ ƷŷĻ [ğŭƩğƓŭĻ͸ƭ ĻƨǒğƷźƚƓ ƚŅ ƒƚƷźƚƓ ŅƚƩ ƓƚƓΏĭƚƓƭĻƩǝğƷźǝĻ ƭǤƭƷĻƒ͵

В͵ 5ĻŅźƓĻ ĭǤĭƌźĭ ĭƚƚƩķźƓğƷĻƭ͵

ЊЉ͵ /ƚƓƭƷƩǒĭƷ ƷŷĻ [ğŭƩğƓŭźğƓ ŅƚƩ !ƷǞƚƚķ͸ƭ ƒğĭŷźƓĻ͵

ЊЊ͵ /ƚƓƭƷƩǒĭƷ ƷŷĻ [ğŭƩğƓŭźğƓ ŅƚƩ {ƦŷĻƩźĭğƌ ƦĻƓķǒƌǒƒ͵

[ƚƓŭ vǒĻƭƷźƚƓƭʹ

Њ͵ ŷğƷ ğƩĻ ĭƚƓƭƷƩğźƓƷƭͪ 9ǣƦƌğźƓͲ ŭźǝźƓŭ ĻǣğƒƦƌĻƭͲ ƷŷĻ ƒĻğƓźƓŭ ƚŅ ŷƚƌƚƓƚƒźĭ ğƓķ

ƓƚƓŷƚƌƚƓƚƒźĭ ĭƚƓƭƷƩğźƓƷƭ͵

Ћ͵ 9ǣƦƌğźƓ ƷŷĻ ƒĻğƓźƓŭ ƚŅ {ĭƌĻƩƚƓƚƒƚǒƭ ğƓķ wŷĻƚƓƚƒƚǒƭ ĭƚƓƭƷƩğźƓƷƭ͵ DźǝĻ źƌƌǒƭƷƩğƷźƚƓƭ ƚŅ

Ļğĭŷ͵

Ќ͵ Lƭ ƷŷĻ [ğŭƩğƓŭźğƓ ŅƚƩƒǒƌğƷźƚƓ ƒƚƩĻ ğķǝğƓƷğŭĻƚǒƭ ƷŷğƓ ƷŷĻ bĻǞƷƚƓźğƓ ŅƚƩƒǒƌğƷźƚƓͪ

ŷǤͪ

Ѝ͵ ŷğƷ ķƚ Ǥƚǒ ǒƓķĻƩƭƷğƓķ ĬǤ ĭǤĭƌźĭ ĭƚƚƩķźƓğƷĻƭͪ {ŷƚǞ ƷŷğƷ ƷŷĻ ŭĻƓĻƩğƌźǩĻķ ƒƚƒĻƓƷǒƒ

ĭƚƩƩĻƭƦƚƓķźƓŭ Ʒƚ ğ ĭǤĭƌźĭ ĭƚƚƩķźƓğƷĻ źƭ ğ ĭƚƓƭƷğƓƷ ƚŅ ƒƚƷźƚƓ͵

Ў͵ 9ǣƦƌğźƓ ƷŷĻ ƷĻƩƒ ͷǝźƩƷǒğƌ ķźƭƦƌğĭĻƒĻƓƷ͸ ğƓķ ƭƷğƷĻ ƷŷĻ ƦƩźƓĭźƦƌĻ ƚŅ ǝźƩƷǒğƌ ǞƚƩƉ͵

Џ͵ 5ĻƭĭƩźĬĻ ƷŷĻ ǒƭĻ ƚŅ wğǤƌĻźŭŷ͸ƭ ķźƭƭźƦğƷźƚƓ ŅǒƓĭƷźƚƓ͵

А͵ 5ĻŅźƓĻ ƷŷĻ IğƒźƌƷƚƓźğƓ͵ ŷĻƓ źƭ źƷ Ļƨǒğƌ Ʒƚ ƷŷĻ ƷƚƷğƌ ĻƓĻƩŭǤ ƚŅ ƷŷĻ ƭǤƭƷĻƒͪ ŷĻƓ źƭ źƷ

ĭƚƓƭĻƩǝĻķͪ

Б͵ ŷğƷ źƭ ƒĻğƓƷ ĬǤ ğ ĭƚƓŅźŭǒƩğƷźƚƓ ƭƦğĭĻͪ IƚǞ źƭ Ʒŷźƭ ĭƚƓĭĻƦƷ ǒƭĻķ Ʒƚ ķĻƭĭƩźĬĻ ƷŷĻ

ƒƚƷźƚƓ ƚŅ ğ ƭǤƭƷĻƒ ƚŅ ƦğƩƷźĭƌĻƭͪ

В͵ ŷğƷ ğƩĻ ĭƚƓƭƷƩğźƓƷƭͪ 5źƭĭǒƭƭ ŷƚƌƚƓƚƒźĭ ğƓķ bƚƓΏŷƚƌƚƓƚƒźĭ ĭƚƓƭƷƩğźƓƷƭ ǞźƷŷ

źƌƌǒƭƷƩğƷźƚƓ͵

ЊЉ͵ 5źƭĭǒƭƭ ǝğƩźƚǒƭ ƷǤƦĻƭ ƚŅ ĭƚƓƭƷƩğźƓƷƭ ǞźƷŷ źƌƌǒƭƷƩğƷźƚƓ

ЊЊ͵ 5źƭĭǒƭƭ ƷŷĻ ĭƚƓĭĻƦƷ ƚŅ ŭĻƓĻƩğƌźǩĻķ ĭƚƚƩķźƓğƷĻƭ ǞźƷŷ źƌƌǒƭƷƩğƷźƚƓƭ͵

5 V.P.& R.P.T.P.SCIENCE COLLEGE, PHYSICS DEPARTMENT, BY: DR.P.M.PATEL

ЊЋ͵ 5źƭĭǒƭƭ ƷŷĻ ǝźƩƷǒğƌ ǞƚƩƉ ķƚƓĻ ŅƚƩ ƒƚƷźƚƓ ƚŅ ğ ƭǤƭƷĻƒ ğƓķ ķĻƩźǝĻ ƷŷĻ ƒğƷŷĻƒğƷźĭğƌ

ƭƷğƷĻƒĻƓƷ ƚŅ 5͸!ƌĻƒĬĻƩƷ͸ƭ ƭƷğƷĻƒĻƓƷ͵

ЊЌ͵ 5ĻƩźǝĻ ƷŷĻ [ğŭƩğƓŭĻ͸ƭ ĻƨǒğƷźƚƓ ƚŅ ƒƚƷźƚƓ ŅƚƩ ğ ĭƚƓƭĻƩǝğƷźǝĻ ƭǤƭƷĻƒ ŅƩƚƒ 5͸!ƌĻƒĬĻƩƷ͸ƭ

ƦƩźƓĭźƦƌĻ͵

ЊЍ͵ 5ĻƩźǝĻ ƷŷĻ ŭĻƓĻƩğƌ ĻǣƦƩĻƭƭźƚƓ ƚŅ ƉźƓĻƷźĭ ĻƓĻƩŭǤ ğƓķ ŅźƓķ ƷŷĻ ƉźƓĻƷźĭ ĻƓĻƩŭǤ ƚŅ ķƚǒĬƌĻ

ƦĻƓķǒƌǒƒ ŅƩƚƒ źƷ͵

ЊЎ͵ ŷğƷ źƭ ĭǤĭƌźĭ ĭƚƚƩķźƓğƷĻƭͪ {ŷƚǞ ƷŷğƷ ƷƚƷğƌ ĻƓĻƩŭǤ źƭ ĭƚƓƭĻƩǝĻķ͵

ЊЏ͵ /ƚƓƭƷƩǒĭƷ ƷŷĻ [ğŭƩğƓŭźğƓ ƚŅ !ƷǞƚƚķ ƒğĭŷźƓĻ ğƓķ ķĻƩźǝĻ źƷƭ ƷŷĻ ĻƨǒğƷźƚƓ ƚŅ ƒƚƷźƚƓ͵

ЊА͵ /ƚƓƭƷƩǒĭƷ ƷŷĻ [ğŭƩğƓŭźğƓ ƚŅ ƭƦŷĻƩźĭğƌ ƦĻƓķǒƌǒƒ ğƓķ ķĻƩźǝĻ źƷƭ ƷŷĻ ĻƨǒğƷźƚƓ ƚŅ ƒƚƷźƚƓ͵

!ƌƭƚ ƭŷƚǞ ƷŷĻ ĭƚƓƭĻƩǝğƷźƚƓ ƚŅ ƷƚƷğƌ ĻƓĻƩŭǤ ğƓķ ĭƚƓƭƷğƓƷ ƚŅ ƒƚƷźƚƓ͵

...bLʹ LLL aǒƌƷźƦƌĻ ĭŷƚźĭĻ ƨǒĻƭƷźƚƓƭʹ

ΛЊΜ ! ŅƩğƒĻ ƚŅ ƩĻŅĻƩĻƓĭĻ ƒƚǝźƓŭ ǞźƷŷ ğ ĭƚƓƭƷğƓƷ ǝĻƌƚĭźƷǤ ƩĻƌğƷźǝĻ Ʒƚ ğ ŅźǣĻķ ŅƩğƒĻ źƭ ĭğƌƌĻķ

ΗΗΗΗΗΗΗΗΗΗΗΗ ŅƩğƒĻ

ΛĬΜ źƓĻƩƷźğƌ ΛĬΜ ƓƚƓ źƓĻƩƷźğƌ

ΛĭΜ ƩĻğƌ ΛķΜ źƒğŭźƓğƩǤ

ΛЋΜ ! ŅƩğƒĻ ƚŅ ƩĻŅĻƩĻƓĭĻ źƭ ğĭĭĻƌĻƩğƷĻķ ƩĻƌğƷźǝĻ Ʒƚ ğ ŅźǣĻķ ŅƩğƒĻ źƭ ĭğƌƌĻķ ΗΗΗΗΗΗΗΗΗΗΗΗ ŅƩğƒĻ

ΛĬΜ źƓĻƩƷźğƌ ΛĬΜ ƓƚƓ źƓĻƩƷźğƌ

ΛĭΜ ƩĻğƌ ΛķΜ źƒğŭźƓğƩǤ

ΛЌΜ !ƌƌ ƷŷĻ ŅƩğƒĻƭ ƚŅ ƩĻŅĻƩĻƓĭĻ ƷŷğƷ ğƩĻ ƩƚƷğƷźƓŭ ƩĻƌğƷźǝĻ Ʒƚ ğ ŅźǣĻķ ŅƩğƒĻ ƚŅ ƩĻŅĻƩĻƓĭĻ ğƩĻ ƷŷĻ

ΗΗΗΗΗΗΗΗΗΗΗ ŅƩğƒĻ ƚŅ ƩĻŅĻƩĻƓĭĻ

ΛĬΜ źƓĻƩƷźğƌ ΛĬΜ ƓƚƓ źƓĻƩƷźğƌ

ΛĭΜ ƩĻğƌ ΛķΜ źƒğŭźƓğƩǤ

ΛЍΜ LŅ ƷŷĻ ƒƚǝźƓŭ ŅƩğƒĻ ƚŅ ƩĻŅĻƩĻƓĭĻ źƭ ğĭĭĻƌĻƩğƷĻķ ƷŷĻ ĻŅŅĻĭƷźǝĻ ŅƚƩĭĻ ğĭƷźƓŭ ƚƓ ƷŷĻ ƦğƩƷźĭƌĻ

źƭ ΗΗΗΗΗΗΗΗΗ ƷŷğƓ ƷŷĻ ğĭƷǒğƌ ŅƚƩĭĻ

ΛğΜ ǩĻƩƚ ΛĬΜ Ļƨǒğƌ ΛĭΜ ƭƒğƌƌĻƩ ΛķΜ ŷźŭŷĻƩ

ΛЎΜ bĻǞƷƚƓ͸ƭ ƌğǞƭ ƚŅ ƒƚƷźƚƓ ğƩĻ ǝğƌźķ źƓ ƷŷĻ ƷǞƚ ƭǤƭƷĻƒƭ ƒƚǝźƓŭ ǞźƷŷ ğ ΗΗΗΗΗΗΗ ƩĻƌğƷźǝĻ

ǝĻƌƚĭźƷǤ

ΛĬΜ ğĭĭĻƌĻƩğƷĻķ ΛĬΜ ķƚǒĬƌĻ

Λ ĭ Μ ƓƚƓ ǒƓźŅƚƩƒ ΛķΜ ǒƓźŅƚƩƒ

ΛЏΜ ŷĻ ƷĻƩƒ ࠎ

቉቉Ճ൥቗ࠎ቉቉Ճ൥ ݫՃቘ źƭ ĭğƌƌĻķ ΗΗΗΗΗΗΗΗΗ

ΛğΜ ƌźƓĻğƩ ğĭĭĻƌĻƩğƷźƚƓ ΛĬΜ ğƓŭǒƌğƩ ğĭĭĻƌĻƩğƷźƚƓ

Λ ĭ Μ ĭĻƓƷƩźƦĻƷğƌ ğĭĭĻƌĻƩğƷźƚƓ ΛķΜ ĭƚƩźƚƌźƭ ğĭĭĻƌĻƩğƷźƚƓ

ΛАΜ ŷĻ ƷĻƩƒ Αࠎ ቉቉Ճ൥ ቝ௴ంՃ

௴ఄ቞ం௿ఄ źƭ ĭğƌƌĻķ ΗΗΗΗΗΗΗΗΗ

ΛğΜ ƌźƓĻğƩ ğĭĭĻƌĻƩğƷźƚƓ ΛĬΜ ğƓŭǒƌğƩ ğĭĭĻƌĻƩğƷźƚƓ

Λ ĭ Μ ĭĻƓƷƩźƦĻƷğƌ ğĭĭĻƌĻƩğƷźƚƓ ΛķΜ ĭƚƩźƚƌźƭ ğĭĭĻƌĻƩğƷźƚƓ

ΛБΜ LƓ ğ ƩƚƷğƷźƚƓğƌ ƒƚƷźƚƓ ĭĻƓƷƩźƦĻƷğƌ ğĭĭĻƌĻƩğƷźƚƓ ķźƩĻĭƷĻķ Ʒƚ ΗΗΗΗΗΗΗΗΗ ƚŅ ƷŷĻ ĭźƩĭƌĻ

ΛğΜ ǒƦǞğƩķƭ ΛĬΜ ƚǒƷǞğƩķƭ Λ ĭ Μ źƓǞğƩķƭ ΛķΜ ĭĻƓƷƩĻ

ΛВΜ LƓ ğ ĭǤĭƌƚƓĻ ƷŷĻ ǞźƓķ ǞŷźƩƌƭ źƓ ƷŷĻ ΗΗΗΗΗΗΗΗΗ ƭĻƓƭĻ źƓ ƷŷĻ ƓƚƩƷŷĻƩƓ ŷĻƒźƭƦŷĻƩĻ

6 V.P.& R.P.T.P.SCIENCE COLLEGE, PHYSICS DEPARTMENT, BY: DR.P.M.PATEL

ΛğΜ ǒƦǞğƩķƭ ΛĬΜ ķƚǞƓǞğƩķƭ Λ ĭ Μ ĭƌƚĭƉǞźƭĻ ΛķΜ ğƓƷźĭƌƚĭƉǞźƭĻ

ΛЊЉΜ LƓ ğ ĭǤĭƌƚƓĻ ƷŷĻ ǞźƓķ ǞŷźƩƌƭ źƓ ƷŷĻ ΗΗΗΗΗΗΗΗΗ ƭĻƓƭĻ źƓ ƷŷĻ ƭƚǒƩƷŷĻƩƓ ŷĻƒźƭƦŷĻƩĻ

ΛğΜ ǒƦǞğƩķƭ ΛĬΜ ķƚǞƓǞğƩķƭ

Λ ĭ Μ ĭƌƚĭƉǞźƭĻ ΛķΜ ğƓƷźĭƌƚĭƉǞźƭĻ

ΛЊЊΜLƓ ƷŷĻ ƩƚƷğƷźƚƓ ƚŅ ğ Ʃźŭźķ ĬƚķǤ ƷŷĻ ķźƩĻĭƷźƚƓƭ ƚŅ ƷŷĻ ğƓŭǒƌğƩ ǝĻƌƚĭźƷǤ ğƓķ ƷŷĻ ğƓŭǒƌğƩ

ƒƚƒĻƓƷǒƒ ğƩĻ ΗΗΗΗΗΗΗΗΗ ΛğΜ ƭğƒĻ ΛĬΜ ķźŅŅĻƩĻƓƷ

Λ ĭ Μ ƦĻƩƦĻƓķźĭǒƌğƩ ΛķΜ ƦğƩğƌƌĻƌ

ΛЊЋΜŷĻ ƒƚƒĻƓƷ ƚŅ źƓĻƩƷźğ źƭ ğ ƷĻƓƭƚƩ ƚŅ ƩğƓƉ ΗΗΗΗΗΗΗΗΗ

ΛğΜ ƚƓĻ ΛĬΜ ƷǞƚ Λ ĭ ΜƷŷƩĻĻ ΛķΜ ǩĻƩƚ

ΛЊЌΜ ! Ʃźŭźķ ĬƚķǤ ŷğǝĻ ΗΗΗΗΗΗΗΗΗ ķĻŭƩĻĻ ƚŅ ŅƩĻĻķƚƒ

ΛğΜ ƚƓĻ ΛĬΜ ƷǞƚ Λ ĭ ΜƷŷƩĻĻ ΛķΜ ƭźǣ

ΛЊЍΜ LŅ ݈

୒൩ ݈୓൩ ݈୔ Ͳ ƷŷĻƓ ƷŷĻ ĬƚķǤ źƭ ĭğƌƌĻķ ΗΗΗΗΗΗΗΗΗ

ΛğΜ ƭƦŷĻƩźĭğƌ ƷƚƦ ΛĬΜ ƭǤƒƒĻƷƩźĭğƌ ƷƚƦ

Λ ĭ ΜğƭǤƒƒĻƷƩźĭğƌ ƷƚƦ ΛķΜ ƩƚƷğƷƚƩ

ΛЊЍΜ LŅ ݈

୒൩ ݈୓൪ ݈୔ Ͳ ƷŷĻƓ ƷŷĻ ĬƚķǤ źƭ ĭğƌƌĻķ ΗΗΗΗΗΗΗΗΗ

ΛğΜ ƭƦŷĻƩźĭğƌ ƷƚƦ ΛĬΜ ƭǤƒƒĻƷƩźĭğƌ ƷƚƦ

Λ ĭ ΜğƭǤƒƒĻƷƩźĭğƌ ƷƚƦ ΛķΜ ƩƚƷğƷƚƩ

ΛЊЎΜ LŅ ݈

୒൪ ݈୓൪ ݈୔ Ͳ ƷŷĻƓ ƷŷĻ ĬƚķǤ źƭ ĭğƌƌĻķ ΗΗΗΗΗΗΗΗΗ

ΛğΜ ƭƦŷĻƩźĭğƌ ƷƚƦ ΛĬΜ ƭǤƒƒĻƷƩźĭğƌ ƷƚƦ

Λ ĭ ΜğƭǤƒƒĻƷƩźĭğƌ ƷƚƦ ΛķΜ ƩƚƷğƷƚƩ

ΛЊЏΜ LŅ ݈

୒൩ ݈୓ ğƓķ ݈୔൩ Ώ Ͳ ƷŷĻƓ ƷŷĻ ĬƚķǤ źƭ ĭğƌƌĻķ ΗΗΗΗΗΗΗΗΗ

ΛğΜ ƭƦŷĻƩźĭğƌ ƷƚƦ ΛĬΜ ƭǤƒƒĻƷƩźĭğƌ ƷƚƦ

Λ ĭ ΜğƭǤƒƒĻƷƩźĭğƌ ƷƚƦ ΛķΜ ƩƚƷğƷƚƩ

ΛЊАΜ LƓ ğ ƷƚƩƨǒĻ ŅƩĻĻ ƒƚƷźƚƓ ƚŅ ğ Ʃźŭźķ ĬƚķǤͲ ƷŷĻ ΗΗΗΗΗΗΗΗΗ ƚŅ ƷŷĻ ĬƚķǤ źƭ ğ ĭƚƓƭƷğƓƷ ǝĻĭƷƚƩ

ΛğΜ ğƓŭǒƌğƩ ǝĻƌƚĭźƷǤ ΛĬΜ ƌźƓĻğƩ ǝĻƌƚĭźƷǤ

Λ ĭ ΜğƓŭǒƌğƩ ƒƚƒĻƓƷǒƒ ΛķΜ ğƓŭǒƌğƩ ğĭĭĻƌĻƩğƷźƚƓ

ΛЊБΜ ΗΗΗΗΗΗΗΗΗ ƒǒƭƷ ĬĻ ğƦƦƌźĻķ Ʒƚ ƒğźƓƷğźƓ ƷŷĻ ƩƚƷğƷźƚƓ ƚŅ ƷŷĻ ƭǤƭƷĻƒ ğĬƚǒƷ ŭźǝĻƓ ğǣźƭ

ΛğΜ ŅƚƩĭĻ ΛĬΜ ƒƚƒĻƓƷǒƒ Λ ĭ ΜǝĻƌƚĭźƷǤ ΛķΜ ƷƚƩƨǒĻ {ŷƚƩƷ vǒĻƭƷźƚƓƭʹ Њ͵ 5ĻŅźƓĻ Ʃźŭźķ ĬƚķǤ Ћ͵ {ƷğƷĻ ƷŷĻ 9ǒƌĻƩ͸ƭ ƷŷĻƚƩĻƒ Ќ͵ {ƷğƷĻ ƷŷĻ /ŷğƭƌĻƭ͸ ƷŷĻƚƩĻƒ

Ѝ͵ ƩźƷĻ ƷŷĻ ĻǣƦƩĻƭƭźƚƓƭ ƚŅ ĭƚƒƦƚƓĻƓƷƭ ƚŅ ğƓŭǒƌğƩ ƒƚƒĻƓƷǒƒ

Ў͵ 5ĻƩźǝĻ ƷŷĻ ĻǣƦƩĻƭƭźƚƓ ƚŅ ƉźƓĻƷźĭ ĻƓĻƩŭǤ ƚŅ ƩƚƷğƷźƚƓ ƚŅ Ʃźŭźķ ĬƚķǤ

Џ͵ {ŷƚǞ ƷŷğƷ ƷŷĻ ķźƩĻĭƷźƚƓƭ ƚŅ ƷŷĻ ğƓŭǒƌğƩ ǝĻƌƚĭźƷǤ ğƓķ ƷŷĻ ğƓŭǒƌğƩ ƒƚƒĻƓƷǒƒ ğƩĻ

ķźŅŅĻƩĻƓƷ

А͵ 5ĻŅźƓĻ ƭƦŷĻƩźĭğƌ ƷƚƦ ğƓķ ğƭǤƒƒĻƷƩźĭ ƷƚƦ

Б͵ 5ĻŅźƓĻ ƭǤƒƒĻƷƩźĭğƌ ƷƚƦ ğƓķ Ʃźŭźķ ƩƚƷğƷƚƩ

7 V.P.& R.P.T.P.SCIENCE COLLEGE, PHYSICS DEPARTMENT, BY: DR.P.M.PATEL

В͵ ŷğƷ Ǥƚǒ ƒĻğƓ ĬǤ ƷƚƩƨǒĻ ŅƩĻĻ ƒƚƷźƚƓ

ЊЉ͵ 5ĻŅźƓĻ ƦƩĻĭĻƭƭźƚƓğƌ ǝĻƌƚĭźƷǤ

[ƚƓŭ vǒĻƭƷźƚƓƭʹ

Њ͵ {ƷğƷĻ ğƓķ ƦƩƚǝĻ 9ǒƌĻƩ͸ƭ ƷŷĻƚƩĻƒ

Ћ͵ 5ĻƩźǝĻ ƷŷĻ ĻǣƦƩĻƭƭźƚƓƭ ƚŅ ğƓŭǒƌğƩ ƒƚƒĻƓƷǒƒ ğƓķ ƉźƓĻƷźĭ ĻƓĻƩŭǤ

Ќ͵ 5źƭĭǒƭƭ ƷŷĻ źƓĻƩƷźğ ƷĻƓƭƚƩ ƚŅ Ʃźŭźķ ĬƚķǤ

Ѝ͵ 5ĻƩźǝĻ ƷŷĻ 9ǒƌĻƩ͸ƭ ĻƨǒğƷźƚƓƭ ƚŅ ƷŷĻ ƒƚƷźƚƓ ğƓķ ŅźƓķ ƷŷĻ ƩĻƌğƷźƚƓ ĬĻƷǞĻĻƓ ƷŷĻ ƩğƷĻ ğƷ Ǟŷźĭŷ

ǞƚƩƉ ķƚƓĻ ĬǤ ƷŷĻ ƷƚƩƨǒĻ ğƓķ ƷŷĻ ƩğƷĻ ƚŅ ĭŷğƓŭĻ ƚŅ ƉźƓĻƷźĭ ĻƓĻƩŭǤ

Ў͵ 5źƭĭǒƭƭ ƷŷĻ ƷƚƩƨǒĻ ŅƩĻĻ ƒƚƷźƚƓ ƚŅ ğ Ʃźŭźķ ĬƚķǤ ğƓķ ķĻƩźǝĻ ƷŷĻ ĻǣƦƩĻƭƭźƚƓ ݀

୓൩௢ోଡ଼୓௟ౌ௪ ௟ ొ቗௟ొଡ଼௟ౌቘ

Џ͵ 5źƭĭǒƭƭ ƷŷĻ 9ǒƌĻƩ͸ƭ ğƓŭƌĻƭ ƚŅ ƷŷĻ Ʃźŭźķ ĬƚķǤ ǞźƷŷ ƓĻğƷ ķźğŭƩğƒƭ

А͵ 5źƭĭǒƭƭ ƷŷĻ ƒƚƷźƚƓ ƚŅ ğ ƭǤƒƒĻƷƩźĭğƌ ƷƚƦ ğƓķ ķĻƩźǝĻ ƷŷĻ ĻǣƦƩĻƭƭźƚƓƭ ƚŅ źƷƭ ƷƚƷğƌ ĻƓĻƩŭǤ ğƓķ

ƦƩĻĭĻƭƭźƚƓğƌ ǝĻƌƚĭźƷǤ ...bLʹ L aǒƌƷźƦƌĻ ĭŷƚźĭĻ ƨǒĻƭƷźƚƓƭʹ

ΛЊΜ ŷĻ ƓΏķźƒĻƓƭźƚƓğƌ ƭƦğĭĻ źƭ ĭğƌƌĻķ ΗΗΗΗΗΗΗΗΗΗΗΗ ƭƦğĭĻ

ΛĭΜ ƭƚƌğƩ ΛĬΜ ĭƚƓŅźŭǒƩğƷźƚƓ

ΛĭΜƩĻğƌ ΛķΜ ǩĻƩƚ

ΛЋΜ LƓ ǝğƩźğƷźƚƓğƌ ƦƩźƓĭźƦƌĻ ƷŷĻ ƌźƓĻ źƓƷĻŭƩğƌ ƚŅ ƭƚƒĻ ŅǒƓĭƷźƚƓ ĬĻƷǞĻĻƓ ƷǞƚ ĻƓķ ƦƚźƓƷƭ źƭ

ΗΗΗΗΗΗΗΗΗΗΗ

ΛĭΜ ǩĻƩƚ ΛĬΜ źƓŅźƓźƷĻ ΛĭΜ ĻǣƷƩĻƒǒƒ ΛķΜ ƚƓĻ

ΛЌΜ ŷĻ ƭŷƚƩƷĻƭƷ ķźƭƷğƓĭĻ ĬĻƷǞĻĻƓ ƷǞƚ ƦƚźƓƷƭ źƓ ğ ƦƌğƓĻ źƭ ΗΗΗΗΗΗΗΗΗΗΗ

ΛĭΜ ĭźƩĭǒƌğƩ ΛĬΜ ŷǤƦĻƩĬƚƌźĭ

ΛĭΜ ƦğƩğĬƚƌźĭ ΛķΜ ƭƷƩğźŭŷƷ ƌźƓĻ

ΛЍΜ ŷĻ ƦğƷŷ ƚŅ ğ ƦğƩƷźĭƌĻ źƭ ΗΗΗΗΗΗΗΗΗǞŷĻƓ źƷ źƭ ƒƚǝźƓŭ ǒƓķĻƩ ĭƚƓƭƷğƓƷ ĭƚƓƭĻƩǝğƷźǝĻ ŅƚƩĭĻ

ŅźĻƌķ

ΛğΜ ĭǤĭƌƚźķ ΛĬΜ ŷǤƦĻƩĬƚƌźĭ

ΛĭΜ ƦğƩğĬƚƌźĭ ΛķΜ ƭƷƩğźŭŷƷ ƌźƓĻ

ΛЎΜ ŷĻ ĻƨǒğƷźƚƓ ƚŅ ĭƚƓƭƷƩğźƓƷƭ źƭ ΗΗΗΗΗΗΗ ŅƚƩ ğ ĭǤƌźƓķĻƩ ƩƚƌƌźƓŭ ƚƓ źƓĭƌźƓĻķ ƦƌğƓĻ

ΛĭΜ ݫ ݝ׫

Λ ĭ Μ ݫ ݝݫ ൣ ݝݱ ൩ Ώ ΛķΜ ݫ ݝݱ ൣ ݝݱ ൩ Ώ

ΛЏΜ ŷĻ ĻƨǒğƷźƚƓ ƚŅ ĭƚƓƭƷƩğźƓƷƭ ŅƚƩ ğ ƭźƒƦƌĻ ƦĻƓķǒƌǒƒ źƭ ΗΗΗΗΗΗΗΗΗ

቗

ݚቘ ݫ ݝ߽

Λ ĭ Μ ݫ ݝ߽

ΛАΜ ŷĻ ğƓŭƌĻ ƚŅ ŅƌźĻƭ ƚŅŅ ŅƚƩ ğ ƦğƩƷźĭƌĻ ƒƚǝźƓŭ ƚƓ ƭƦŷĻƩźĭğƌ ƭǒƩŅğĭĻ źƭ ΗΗΗΗΗΗΗΗΗΗ

ΛĬΜ ࠓ

௙൩ ݜݨݬଡ଼୒ቝ୔ ୓቞ ΛĬΜ ࠓ௙൩ ݬݢݧଡ଼୒ቝ୔ ୓቞

Λ ĭ Μ ࣵ

ࢌ൩ ࢦࢲࢶଡ଼૷ቝ૸ ૹ቞ ΛķΜ ࠓ௙൩ ݬݢݧଡ଼୒ቝ୔ ୓቞ 8 V.P.& R.P.T.P.SCIENCE COLLEGE, PHYSICS DEPARTMENT, BY: DR.P.M.PATEL {ŷƚƩƷ vǒĻƭƷźƚƓƭʹ

Њ͵ ŷğƷ źƭ ĭƚƓŅźŭǒƩğƷźƚƓ ƭƦğĭĻͪ

Ћ͵ {ƷğƷĻ ƷŷĻ ǝğƩźğƷźƚƓğƌ ƦƩźƓĭźƦƌĻ

Ќ͵ 5ĻŅźƓĻ ŭĻƚķĻƭźĭ ƌźƓĻ

Ѝ͵ ƩźƷĻ ƷŷĻ ĻƨǒğƷźƚƓ ƚŅ ĭǤĭƌƚźķ ǞŷĻƓ ğ ƦğƩƷźĭƌĻ źƭ ƒƚǝźƓŭ źƓ ğ ĭƚƓƭƷğƓƷ ĭƚƓƭĻƩǝğƷźǝĻ ŅƚƩĭĻ

ŅźĻƌķ

Ў͵ {ƷğƷĻ ƷŷĻ IğƒźƌƷƚƓ͸ƭ ƦƩźƓĭźƦƌĻ

Џ͵ {ŷƚǞ ƷŷğƷ ƷŷĻ [ğŭƩğƓŭźğƓ ğƓķ bĻǞƷƚƓźğƓ ĻƨǒğƷźƚƓ ğƩĻ ĻƨǒźǝğƌĻƓƷ

А͵ ŷğƷ źƭ ǒƓķĻƷĻƩƒźƓĻķ ƒǒƌƷźƦƌźĻƩͪ

Б͵ ƩźƷĻ ƷŷĻ [ğŭƩğƓŭźğƓ ŅƚƩ ğ ĭǤƌźƓķĻƩ ƩƚƌƌźƓŭ ƚƓ źƓĭƌźƓĻķ ƦƌğƓĻ

В͵ ƩźƷĻ ƷŷĻ [ğŭƩğƓŭźğƓ ƚŅ ƭźƒƦƌĻ ƦĻƓķǒƌǒƒ źƓ ƷĻƩƒƭ ƚŅ ƭƦŷĻƩźĭğƌ ƦƚƌğƩ ĭƚƚƩķźƓğƷĻƭ

ЊЉ͵ ƩźƷĻ ƷŷĻ IğƒźƌƷƚƓ͸ƭ ĻƨǒğƷźƚƓ ƚŅ ƒƚƷźƚƓ

[ƚƓŭ vǒĻƭƷźƚƓƭʹ

Њ͵ 5ĻƭĭƩźĬĻ ƷŷĻ ĭƚƓŅźŭǒƩğƷźƚƓ ƭƦğĭĻ

Ћ͵ 5źƭĭǒƭƭ ƷŷĻ ƷĻĭŷƓźƨǒĻ ƚŅ ĭğƌĭǒƌǒƭ ƚŅ ǝğƩźğƷźƚƓ ğƓķ ķĻƩźǝĻ ƷŷĻ ŭĻƓĻƩğƌ 9ǒƌĻƩ͸ƭ ĻƨǒğƷźƚƓ

Ќ͵ 5ĻƩźǝĻ ƷŷĻ 9ǒƌĻƩ͸ƭ ĻƨǒğƷźƚƓ ǒƭźƓŭ ʔΏ ƓƚƷğƷźƚƓ

Ѝ͵ ƚ ƭŷƚǞ ƷŷğƷ ƷŷĻ ƭŷƚƩƷĻƭƷ ķźƭƷğƓĭĻ ĬĻƷǞĻĻƓ ƷǞƚ ƦƚźƓƷƭ źƓ ğ ƦƌğƓĻ źƭ ğ ƭƷƩğźŭŷƷ ƌźƓĻ

Ў͵ 5źƭĭǒƭƭ ƷŷĻ ƭŷƚƩƷĻƭƷ ƷźƒĻ ƦƩƚĬƌĻƒ ŅƚƩ ğ ƒƚƷźƚƓ ƚŅ ğ ƦğƩƷźĭƌĻ źƓ ğ ĭƚƓƭƷğƓƷ ĭƚƓƭĻƩǝğƷźǝĻ

ŅƚƩĭĻ ŅźĻƌķ

Џ͵ {ŷƚǞ ƷŷğƷ ƷŷĻ ĻǣƷƩĻƒǒƒ ǝğƌǒĻ ƚŅ ƷŷĻ ķźƭƷğƓĭĻ ĬĻƷǞĻĻƓ ƷŷĻ ƷǞƚ ƦƚźƓƷƭ ƚƓ ƷŷĻ ƭǒƩŅğĭĻ ƚŅ

ğ ƭƦŷĻƩĻ źƭ ğƓ ğƩĭ ƚŅ ğ ĭźƩĭƌĻ ǞŷƚƭĻ ĭĻƓƷƩĻ ƌźĻƭ ğƷ ƷŷĻ ĭĻƓƷƩĻ ƚŅ ƷŷĻ ƭƦŷĻƩĻ

А͵ {ƷğƷĻ ƷŷĻ IğƒźƌƷƚƓ͸ƭ ƦƩźƓĭźƦƌĻ ğƓķ ķĻƩźǝĻ ƷŷĻ [ğŭƩğƓŭĻ͸ƭ ĻƨǒğƷźƚƓ ƚŅ ƒƚƷźƚƓ

Б͵ 5ĻƩźǝĻ ƷŷĻ IğƒźƌƷƚƓ͸ƭ ƦƩźƓĭźƦƌĻ ŅƩƚƒ bĻǞƷƚƓźğƓ ŅƚƩƒǒƌğƷźƚƓ

В͵ /ƚƓƭƷƩǒĭƷ ƷŷĻ [ğŭƩğƓŭźğƓ ŅƚƩ ƭĻƩźĻƭ ğƓķ ƦğƩğƌƌĻƌ ĭƚƓƓĻĭƷźƚƓ ƚŅ źƓķǒĭƷğƓĭĻ [Ͳ ƩĻƭźƭƷğƓĭĻ w

ğƓķ ĭğƦğĭźƷƚƩ / ǞźƷŷ ğƓ ĻǣƷĻƩƓğƌ ĻƌĻĭƷƩƚƒƚƷźǝĻ ŅƚƩĭĻ ʕΛƷΜ

ЊЉ͵ 5ĻƭĭƩźĬĻ ƷŷĻ [ğŭƩğƓŭĻ͸ƭ ǒƓķĻƷĻƩƒźƓĻķ ƒǒƌƷźƦƌźĻƩ ǞźƷŷ źƌƌǒƭƷƩğƷźƚƓ

ЊЊ͵ 5ĻƩźǝĻ ƷŷĻ [ğŭƩğƓŭĻ͸ƭ ĻƨǒğƷźƚƓ ƚŅ ƒƚƷźƚƓ ŅƚƩ bƚƓΏŷƚƌƚƓƚƒźĭ ƭǤƭƷĻƒ

ЊЋ͵ /ƚƓƭƷƩǒĭƷ ƷŷĻ [ğŭƩğƓŭźğƓ ğƓķ ķĻƩźǝĻ ƷŷĻ ĻƨǒğƷźƚƓƭ ƚŅ ƒƚƷźƚƓ ŅƚƩ ğ ĭǤƌźƓķĻƩ ƩƚƌƌźƓŭ ƚƓ

źƓĭƌźƓĻķ ƦƌğƓĻ ǒƭźƓŭ ǒƓķĻƷĻƩƒźƓĻķ ƒǒƌƷźƦƌźĻƩ

ЊЌ͵ 5ĻƩźǝĻ ƷŷĻ ĻƨǒğƷźƚƓ ƚŅ ƒƚƷźƚƓ ŅƚƩ ğ ƭźƒƦƌĻ ƦĻƓķǒƌǒƒ ǒƭźƓŭ ǒƓķĻƷĻƩƒźƓĻķ ƒǒƌƷźƦƌźĻƩ

ЊЍ͵ /ƚƓƭƷƩǒĭƷ ƷŷĻ [ğŭƩğƓŭźğƓ ŅƚƩ ƒƚƷźƚƓ ƚŅ ğ ƦğƩƷźĭƌĻ ƚƓ ğ ƭƦŷĻƩĻ ğƓķ ķĻƩźǝĻ ƷŷĻ ĻƨǒğƷźƚƓƭ ƚŅ

ƒƚƷźƚƓ ǒƭźƓŭ ǒƓķĻƷĻƩƒźƓĻķ ƒǒƌƷźƦƌźĻƩ

ЊЎ͵ 5ĻƩźǝĻ ƷŷĻ {ĭŷƩƚķźƓŭĻƩ ǞğǝĻ ĻƨǒğƷźƚƓ ǒƭźƓŭ ǝğƩźğƷźƚƓğƌ ƦƩźƓĭźƦƌĻ

ЊЏ͵ 5ĻƩźǝĻ ƷŷĻ IğƒźƌƷƚƓ͸ƭ ĻƨǒğƷźƚƓ ƚŅ ƒƚƷźƚƓ

[PDF] US05CPHY01 Classical Mechanics - VP & RPTP Science College

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