IIT JAM

follow

Top Resources

R

Rudhreswaran G posted an Question

March 30, 2021 • 03:08 am

30 points

IIT JAM
Mathematics (MA)

Can some one explain this problem with diagram and how they take on xz plane .can we take on xy also or not

2 Answer(s)

0 Likes
5 Comments
0 Shares

A
Alka gupta

correct ans is 90....only can solve by surface integral see
- Likes(0)
- Reply(2)
how to know a problem can be solved only by surface integral
- Like(0)
if in surface integral the condition of GD theorem not fulfill then we have no option ....and we have to solve by surface integral
- Like(0)

>
Deepak singh 1 Best Answer

No , we can't apply gauss divergence theorem . Because region is closed by z=0,z=5 and x^2+y^2=16 only but not bounded by x=0 and y=0 plane .
- Likes(1)
- Reply(2)
how to find a sum can be solved by Gauss divergence theorem any tips for that
- Like(1)
just check by drawing diagram , whether region is closed or not . If its closed then use divergence theorem . You have to do practice more and more .
- Like(0)

A
Alka gupta

no, we can't apply G-D theorem ...
- Likes(0)
- Reply(3)
but answer is not arriving for me can you send that derivation
- Like(0)
yes...wait
- Like(0)
sorry....in qus surface is not bounded by first octant....in hurry I did not read complete qus....so here we can not apply GD theorem because surface is open
- Like(0)

R
Rudhreswaran g

can we take any co ordinate axis to find it is based on our wish .for all the answer will be same
- Likes(1)
- Reply(0)

>
Deepak singh 1

Refer attached answer is 90
- Likes(0)
- Reply(2)
can we do this problem in Gauss divergence theorem if we can do, then can you derive it
- Like(1)
No , we can't apply gauss divergence theorem . Because region is closed by z=0,z=5 and x^2+y^2=16 only but not bounded by x=0 and y=0 plane .
- Like(0)

T