| ⇦ | 
| ⇨ |
If vectors A=cos wti + sin wtj and B= cos wt/2 i + sin wt/2 j are functions of time, then the value of t at which they are orthogonal to each other is
Options
(a) t = π/2w
(b) t = π/w
(c) t=0
(d) t = π/4w
Correct Answer:
t = π/w
Explanation:
Two vectors are,
A = cos ωt î + sin ωt ĵ
B = cos (ωt/2) î + sin (ωt/2) ĵ
For two vectors A and B to be orthogonal
A.B = 0
A.B = 0 = cos ωt.cos (ωt/2) + sin ωt.sin (ωt/2)
= cos [ωt – (ωt/2)] = cos (ωt/2)
So, ωt/2 = π/2
.·. t = π/ω.
Related Questions: - Two concentric coils each of radius equal to 2π cm are placed at right angles
- If 10000 V is applied across an X-ray tube, what will be the ratio of de-Broglie
- A particle of unit mass undergoes one-dimensional motion such that its velocity varies
- The minimum number of NAND gates used to construct an OR gate is
- Two charges placed in air repel each other by a force of 10⁻⁴ N. When oil is
Topics: Motion in Plane
(93)
Subject: Physics
(2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
- Two concentric coils each of radius equal to 2π cm are placed at right angles
- If 10000 V is applied across an X-ray tube, what will be the ratio of de-Broglie
- A particle of unit mass undergoes one-dimensional motion such that its velocity varies
- The minimum number of NAND gates used to construct an OR gate is
- Two charges placed in air repel each other by a force of 10⁻⁴ N. When oil is
Topics: Motion in Plane (93)
Subject: Physics (2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
18000+ students are using NEETLab to improve their score. What about you?
Solve Previous Year MCQs, Mock Tests, Topicwise Practice Tests, Identify Weak Topics, Formula Flash cards and much more is available in NEETLab Android App to improve your NEET score.
Share this page with your friends
Leave a Reply