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Vanshika posted an Question

May 27, 2020 • 23:00 pm

30 points

IIT JAM
Physics (PH)

If v-4yi +2zk the value of f(xv)i do over the hemisphere is x+y2 + z? = a?, z 2 0 37ta 6na -37ta (a) (c) (b) (d) -67ta

2 Answer(s)

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Dhairya sharma

I answered it dear see attachment.
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Dhairya sharma

dear see attached carefully.
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Dhairya sharma

dear see attached carefully....
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dear none of the above is matching.
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dear one thing that u have to remember that r^.k^ = cos(thitha)
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it's just because if the geometry of the spheres. bcoz z = rcos(thitha)
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if now we take their dot product it will be cos(thitha)
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i hope u will get my points. for doubt plz ask.
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in this question given is hemisphere so we will take limit of thitha from 0 to pi/2 otherwise it would be 0 to pi.
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i hope i gave u full explanation of the solution.plz ask further if hv any doubt
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Ruby negi

dear, no option is matching..
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Abhishek singh

No Option is matching. correct answer is -4πa^2, Best regards.
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you may ask doubts if any!
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how may I help you?
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sir how did you write dsigma = a²sin
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it's standard result. infinitesimal area element for curved surface of sphere is given by d(sigma)=a^2sin(@)d@d(phi).... where @=theta
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do you have any other doubts?
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understood sir ...thank you
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welcome dear!
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