JEE Advanced 2018 Paper 1 Physics Q7

Physics · Kinematics

Problem

Two vectors A⃗\vec{A} and B⃗\vec{B} are defined as A⃗\vec{A} = a î and B⃗\vec{B} = a(cos ωt î + sin ωt ĵ), where a is a constant and ω = π/6 rad s⁻¹. If |A⃗\vec{A} + B⃗\vec{B}| = √3|A⃗\vec{A} − B⃗\vec{B}| at time t = τ for the first time, the value of τ, in seconds, is __________.

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