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Can You Associate Vectors with (A) the Length of a Wire Bent into a Loop, (B) a Plane Area, (C) a Sphere? Explain. - CBSE (Science) Class 11 - Physics

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Question

Can you associate vectors with (a) the length of a wire bent into a loop, (b) a plane area, (c) a sphere? Explain.

Solution 1

No; Yes; No

(a) One cannot associate a vector with the length of a wire bent into a loop.

(b) One can associate an area vector with a plane area. The direction of this vector is normal, inward or outward to the plane area.

(c) One cannot associate a vector with the volume of a sphere. However, an area vector can be associated with the area of a sphere.

Solution 2

(a) We cannot associate a vector with the length of a wire bent into a loop. This is because the length of the loop does not have a definite direction.

(b) We can associate a vector with a plane area. Such a vector is called area vector and its direction is represented by a normal drawn outward to the area.

(c) The area of a sphere does not point in any difinite direction. However, we can associate a null vector with the area of the sphere. We cannot associate a vector with the volume of a sphere.

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Physics Textbook for Class 11 (2018 to Current)
Chapter 4: Motion in a Plane
Q: 28 | Page no. 88

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Solution Can You Associate Vectors with (A) the Length of a Wire Bent into a Loop, (B) a Plane Area, (C) a Sphere? Explain. Concept: Scalars and Vectors.
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