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Rudhreswaran G posted an Question

April 26, 2021 • 23:41 pm

30 points

IIT JAM
Mathematics (MA)

Can some one derive this

2 Answer(s)

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Deepak singh 1 Best Answer

Refer attached
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- Reply(21)
is ds is crt are a^2 sincos dtetha depoch
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can you tell how to calculate that ds
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yes wait..
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ok
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Refer attached ,
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we can use this as formula ds = a^2sintheta dtheta dphi.
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how we got that values for that
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inside value of that ds how to find it
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its jacobian . Read jacobian topic , then you will get it..
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is this formula is used when we change any coordinates to another coordinates are there many formula to find different coordinates
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can you send that image again i mistakenly deleted
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yes , this jacobian is used when we change from one coordinate system to another system
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which image ?? you can downlod again above image..
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that jacobain image
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see
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but answer in the book is 0
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in book , they have found flux which is correct .
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I have solved surface integral ...
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then both answer should be same know
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answer will be different , actually in question , they have not said anything about flux . So question is not framed correctly here.
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ok so for that question our answer is crt but if they ask about flux we should find that n cap also
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Sonu saini

option D is correct
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how to find that DX dy
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using this
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fro changing the cartession we want to sub this method
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yes if you change one coordinate system like Cartesian to another coordinate system like cylindrical or polar we can use this ....
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ok thank you
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but ds is wrong
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