AP EAMCET · PHYSICS · Units and Dimensions
The SI unit of length is 'metre'. Suppose we adopt a new unit of length which equals \(x\) metre. Then, the area of \(1 \mathrm{~m}^2\) expressed in terms of new unit has a magnitude
- A \(x\)
- B \(x^2\)
- C \(\frac{1}{x}\)
- D \(\frac{1}{x^2}\)
Answer & Solution
Correct Answer
(D) \(\frac{1}{x^2}\)
Step-by-step Solution
Detailed explanation
SI unit of length = metre (m) New unit of length \(=x\) metre Hence, \(\quad 1 \mathrm{~m}=\frac{1}{x}\) new units \(\therefore \quad\) Area, \(1 \mathrm{~m}^2=1 \mathrm{~m} \times 1 \mathrm{~m}\) \(=\frac{1}{x} \times \frac{1}{x}=\frac{1}{x^2} \text { (in new units) }\)
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