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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.
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Topics: Motion in Plane
(93)
Subject: Physics
(2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
- In Bohr model of hydrogen atom, the force on the electron depends on the principal
- What is the energy of photon whose wavelength is 6840 Å?
- The electric potential V at any point (x,y,z) all in meters in space is given by
- The electric field associated with an e.m. wave in vacuum is given by
- Two sources P and Q produce notes of frequency 660 Hz each.
Topics: Motion in Plane (93)
Subject: Physics (2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
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