If √(0.05 × 0.5 × a) = 0.5 × 0.5 × √b, then a/b is equal to :यदि √(0.05 × 0.5 × a) = 0.5 × 0.5 × √b हो, तो a/b का मान है :

1. A0.0025
2. B0.025
3. C0.25
4. D2.50

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Correct answer: D. 2.50

Explanation

Squaring both sides: 0.05 × 0.5 × a = (0.25)² × b, so 0.025a = 0.0625b. Therefore a/b = 0.0625/0.025 = 2.50.दोनों पक्षों का वर्ग करने पर: 0.05 × 0.5 × a = (0.25)² × b, अर्थात् 0.025a = 0.0625b। अतः a/b = 0.0625/0.025 = 2.50।