The value of surface integral $\iint_S(9x\hat{i}-2\hat{j}-z\hat{k}).\hat{n}dS$ over the surface S of the sphere x 2 +y 2 +z 2 =9 where $\hat{n}$ is the unit outward normal to surface element dS is:

Question

The value of surface integral $\iint_S(9x\hat{i}-2\hat{j}-z\hat{k}).\hat{n}dS$  over the surface S of the sphere x 2 +y 2 +z 2 =9 where  $\hat{n}$  is the unit outward normal to surface element dS is:

cdquestions Admin · Accepted Answer

The correct answer is(C): 216&pi;

Answer

$\frac{24}{3}$π

Answer

$\frac{216}{3}$π

Answer

Answer

The value of surface integral \(\iint_S(9x\hat{i}-2\hat{j}-z\hat{k}).\hat{n}dS\) over the surface S of the sphere x²+y²+z²=9 where \(\hat{n}\) is the unit outward normal to surface element dS is:

The Correct Option is C

Solution and Explanation

Questions Asked in CUET PG exam

The value of surface integral \(\iint_S(9x\hat{i}-2\hat{j}-z\hat{k}).\hat{n}dS\) over the surface S of the sphere x2+y2+z2=9 where \(\hat{n}\) is the unit outward normal to surface element dS is:

The Correct Option is C

Solution and Explanation

Questions Asked in CUET PG exam

The value of surface integral \(\iint_S(9x\hat{i}-2\hat{j}-z\hat{k}).\hat{n}dS\) over the surface S of the sphere x²+y²+z²=9 where \(\hat{n}\) is the unit outward normal to surface element dS is: