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In column - I report values of some phys...

In column - I report values of some physical quantities (or) calculations are mentioned and column - II, the number of significant figures are mentioned. Match column - I values appropriately to those mentioned in column - II
`{:(,"Column - I",,"Column - II"),((A),(3.20+4.80)xx10^(5),(P),4),((B),0.030,(Q),2),((C ),(3.8xx10^(-6))+(4.2xx10^(-5)),(R ),3),((D),3.033,(S),2):}`

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To solve the problem of matching the values in Column - I with their corresponding number of significant figures in Column - II, we will analyze each option step by step. ### Step-by-Step Solution: **Step 1: Analyze Option A - (3.20 + 4.80) x 10^5** - First, we perform the addition: \[ 3.20 + 4.80 = 8.00 \] - The result, 8.00, has 3 significant figures (the trailing zeros are significant). - The factor \(10^5\) does not affect the number of significant figures. - Therefore, the number of significant figures for this option is **3**. - Thus, A matches with **R (3 significant figures)**. **Step 2: Analyze Option B - 0.030** - In this case, the leading zeros (0.0) are not significant. - The significant figures are only the digits "3" and "0" after the decimal. - Therefore, this number has **2 significant figures**. - Thus, B matches with **Q (2 significant figures)**. **Step 3: Analyze Option C - (3.8 x 10^(-6)) + (4.2 x 10^(-5))** - To add these two numbers, we need to express them in the same power of ten. We can convert \(4.2 x 10^{-5}\) to \(42 x 10^{-6}\). - Now we can add: \[ 3.8 x 10^{-6} + 42 x 10^{-6} = (3.8 + 42) x 10^{-6} = 45.8 x 10^{-6} \] - The result, 45.8, has **3 significant figures**. - Thus, C matches with **P (3 significant figures)**. **Step 4: Analyze Option D - 3.033** - The number 3.033 has all digits significant. - Therefore, this number has **4 significant figures**. - Thus, D matches with **S (4 significant figures)**. ### Final Matching: - A → R (3 significant figures) - B → Q (2 significant figures) - C → P (3 significant figures) - D → S (4 significant figures) ### Summary of Matches: - A: R - B: Q - C: P - D: S
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