| ⇦ | 
| ⇨ |
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: - The surface temperature of the sun which has maximum energy
- Two bulbs 60 W and 100 W designed for voltage 220 V are connected in series
- A piece of iron is heated in a flame. It first comes dull red then becomes reddish
- A spherical drop of mercury having a potential of 2.5 v is obtained as a result
- A body A experiences perfectly elastic collision with a stationary body B
Topics: Motion in Plane
(93)
Subject: Physics
(2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
- The surface temperature of the sun which has maximum energy
- Two bulbs 60 W and 100 W designed for voltage 220 V are connected in series
- A piece of iron is heated in a flame. It first comes dull red then becomes reddish
- A spherical drop of mercury having a potential of 2.5 v is obtained as a result
- A body A experiences perfectly elastic collision with a stationary body B
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