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BITSAT 2020
Exam
BITSAT
Year
2020
Subject
Physics
Chapter
Thermal Properties of Matter

BITSAT 2020 · Physics · Thermal Properties of Matter

A crystal has a coefficient of expansion 13 × 10^ -7 in one...

A crystal has a coefficient of expansion 13×10−713 \times 10^{-7} in one direction and 231×10−7231 \times 10^{-7} in every direction at right angles to it. Then the cubical coefficient of expansion is

Options

  1. A462×10−7462 \times 10^{-7}
  2. B244×10−7244 \times 10^{-7}
  3. C475×10−7475 \times 10^{-7}
  4. D257×10−7257 \times 10^{-7}

Correct answer

C. 475×10−7475 \times 10^{-7}

Step-by-step solution

γ=α1+α2+α3=13×10−7+231×10−7+231×10−7=475×10−7\begin{aligned} \gamma &=\alpha_{1}+\alpha_{2}+\alpha_{3} \\ &=13 \times 10^{-7}+231 \times 10^{-7}+231 \times 10^{-7} \\ &=475 \times 10^{-7} \end{aligned}
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