The angle subtended at the centre of a sphere by its surface area is equal to:
Correct answer: D. 4 π streradian
- A. 4/3 π radian
- B. 4/3 π steradian
- C. 4 π radian
- D. 4 π streradian
Explanation
One steradian is the solid angle of a sphere subtended by a portion of the surface whose area is equal to the square of the sphere's radius. The complete surface area of a sphere= 4πr² so the total solid angle about a point = 4πr²/r² = 4π steradian The steradian is the unit of solid angles. It is used in 3D geometry. Whereas the radian is used in planar geometry so options A and C are ruled out as we are dealing with a 3D cone here. (The mention of surface area in the question implies that 3D geometry is involved)
Last updated
Related questions
1 joule is equal to:
1 light year distance is:
1nm x 1km =
A bag contains 50 metallic spheres of different diameters. A task is given to students to classify these spheres in terms of their diameters and find the number of spheres that liebetween the range of 0.3 cm and 1.5 cm out of 50 metallic spheres.For classifying as accurately as possible, the MOST appropriate instrument the students should pick from the science lab is
A student measures a current as 0.05 A. Which of the following correctly expresses this result?