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{:(,"Column I",,"Column II"),(("A"),R//L...

`{:(,"Column I",,"Column II"),(("A"),R//L,(p),"Time"),(("B"),C//R,(q),"Frequency"),(("C"),E//B,(r),"Speed"),(("D"),sqrt(epsilon_(0)mu_(0)),(s),"None"):}`

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To solve the problem of matching the elements from Column I to Column II, we will analyze each option step by step. ### Step 1: Analyze Option A (R/L) - The expression given is R/L. - In an LR circuit, the time constant (τ) is defined as τ = L/R. - The reciprocal of the time constant gives us the frequency (f) as f = 1/τ = R/L. - Therefore, R/L corresponds to **Frequency (q)**. ### Step 2: Analyze Option B (C/R) - The expression given is C/R. - In an RC circuit, the time constant (τ) is defined as τ = RC. - However, if we consider the reciprocal, we can express it as 1/τ = 1/(RC), which does not directly relate to frequency. - Instead, C/R represents the time constant itself, which corresponds to **Time (p)**. ### Step 3: Analyze Option C (E/B) - The expression given is E/B. - The speed of electromagnetic waves (v) is given by the ratio of the electric field (E) to the magnetic field (B), which is v = E/B. - Therefore, E/B corresponds to **Speed (r)**. ### Step 4: Analyze Option D (sqrt(epsilon_0 * mu_0)) - The expression given is sqrt(epsilon_0 * mu_0). - It is known that the speed of light (c) in a vacuum is given by c = 1/sqrt(epsilon_0 * mu_0). - However, since there is no corresponding option for speed of light in the given choices, we match this to **None (s)**. ### Final Matching: - A (R/L) → Frequency (q) - B (C/R) → Time (p) - C (E/B) → Speed (r) - D (sqrt(epsilon_0 * mu_0)) → None (s) ### Summary of Matches: - A → q - B → p - C → r - D → s
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