TS EAMCET · Physics · Units and Dimensions
The equation of motion of a damped oscillator is given by \(m \frac{d^2 x}{d t^2}+b \frac{d x}{d t}+k x=0\). The dimensional formula of \(\frac{b}{\sqrt{k m}}\) is
- A \(\left[\mathrm{M}^0 \mathrm{~L}^0 \mathrm{~T}^0\right]\)
- B \(\left[\mathrm{M}^0 \mathrm{~L}^{\mathrm{L}} \mathrm{T}^{-2}\right]\)
- C \(\left[M^1 L^1 T^{-2}\right]\)
- D \(\left[\mathrm{M}^1 \mathrm{~L}^2 \mathrm{~T}^{-2}\right]\)
Answer & Solution
Correct Answer
(A) \(\left[\mathrm{M}^0 \mathrm{~L}^0 \mathrm{~T}^0\right]\)
Step-by-step Solution
Detailed explanation
From equation given \(\frac{\mathrm{md}^2 \mathrm{x}}{\mathrm{dt}{ }^2}+\mathrm{b} \frac{\mathrm{dx}}{\mathrm{dt}}+\mathrm{kx}=0\)…
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