AP EAMCET · PHYSICS · Mechanical Properties of Solids
The maximum possible height of a mountain on earth is approximately
(elastic limit of mountain rock \(=30 \times 10^7 \mathrm{Nm}^{-2}\), average density of mountain rock \(=3 \times 10^3 \mathrm{kgm}^{-3}, \mathrm{~g}=10 \mathrm{~ms}^{-2}\) )
- A \(9 \mathrm{~km}\)
- B \(10 \mathrm{~km}\)
- C \(12 \mathrm{~km}\)
- D \(8.8 \mathrm{~km}\)
Answer & Solution
Correct Answer
(B) \(10 \mathrm{~km}\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \text { Elastic limit }=\mathrm{h} \rho \mathrm{g} \therefore \text { Height, } \mathrm{h}=\frac{\text { Elastic limit }}{\rho \mathrm{g}} \\ & \therefore \mathrm{h}=\frac{30 \times 10^7}{3 \times 10^3 \times 10}=10,000 \mathrm{~m}=10 \mathrm{~km}\end{aligned}
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