MENU

If vectors A=cos wti + sin wtj and B= cos wt/2 i + sin wt/2 j are functions of time,

If Vectors Acos Wti Sin Wtj And B Cos Physics Question

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:

  1. Heat is flowing through a rod of length 50 cm and area of cross-section 5 cm².
  2. The minimum wavelength of X-rays produced in a Collidge tube operated
  3. An LCR circuit contains resistance of 100 ohm and a supply of 200 volt at 300 radian
  4. Two particles P and Q start from origin and execute simple harmonic motion along X-axis
  5. Water falls from a height of 60m at the rate of 15 kg/s to operate a turbine

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.

NEETLab Mobile App

Share this page with your friends

Be the first to comment

Leave a Reply

Your email address will not be published.


*