AP Police SI practice question
Two wires A and B are made of the same material and have the same length but different cross-sectional areas. If the resistance of wire A is 9 times the resistance of wire B, the ratio of the cross-sectional area of wire A to that of wire B is:
From a AP Police SI Science practice set · Science
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Correct answer: (B) 1 : 9
Since R = ρL/A for same material and length, R is inversely proportional to A. If R_A = 9·R_B, then A_A/A_B = R_B/R_A = 1/9, so the ratio A_A : A_B = 1 : 9.
हिंदी में प्रश्न
दो तार A और B समान पदार्थ के बने हैं और उनकी लंबाई समान है परंतु अनुप्रस्थ-काट क्षेत्रफल भिन्न है। यदि तार A का प्रतिरोध तार B के प्रतिरोध का 9 गुना है, तो तार A के अनुप्रस्थ-काट क्षेत्रफल का तार B के अनुप्रस्थ-काट क्षेत्रफल से अनुपात क्या होगा?
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सही उत्तर: (B) 1 : 9
समान पदार्थ व लंबाई के लिए R = ρL/A होता है, अर्थात R, A के व्युत्क्रमानुपाती है। यदि R_A = 9·R_B है, तो A_A/A_B = R_B/R_A = 1/9, अतः अनुपात A_A : A_B = 1 : 9 होगा।
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