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JEE Main 2005
Exam
JEE Main
Year
2005
Subject
Physics
Chapter
Oscillations

JEE Main 2005 · Physics · Oscillations

If a simple harmonic motion is represented by d^2 x dt^2 +α x=0 ,...

If a simple harmonic motion is represented by d2xdt2+αx=0\frac{\mathrm{d}^2 \mathrm{x}}{\mathrm{dt}^2}+\alpha \mathrm{x}=0, its time period is

Options

  1. A2πα\frac{2 \pi}{\alpha}
  2. B2πα\frac{2 \pi}{\sqrt{\alpha}}
  3. C2πα2 \pi \alpha
  4. D2πα2 \pi \sqrt{\alpha}

Correct answer

B. 2πα\frac{2 \pi}{\sqrt{\alpha}}

Step-by-step solution

ω2=α\omega^2=\alpha ω=α\omega=\sqrt{\alpha} T=2παT=\frac{2 \pi}{\sqrt{\alpha}}
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