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Grade upto college level Thermal Physics

The Pyrex glass mirror in the telescope at the Mount Palomar Observatory (the Hale telescope) has a diameter of 200 in. The most extreme temperatures ever recorded on palomar Mountain are - 10°C and 50°C, Determine the maximum change in the diameter of the mirror.

Shane Macguire

11 Years agoGrade upto college level

1 Answer

Mohammad Fasih

7 Years ago

diameter =d=200 inc

change in temperature = $\Delta$ T=50°-(-10°) = 60°C

cofficient of expansion for pyrax glass= $\alpha$ =3.2×10^-6/C°

FORMULA:

$\Delta$ L= $\Delta$ T× $\alpha$ ×d

=60°C × 3.2×10^-6/C°× 200 inc

=38400 × 10^-6 inc

= 0.0384 inc

so, maximum increase in diameter is 0.0384 inc and total diameter after increase in temperature is = 200inc + 0.0384inc

= 200.0384 inc

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