Properties Of Solids And Liquids Question 546
Question: On an X temperature scale, water freezes at $ -125.0{}^\circ X $ and boils at $ 375.0{}^\circ X $ . On a Y temperature scale, water freezes at $ -70.0{}^\circ Y $ and boils at$ -30.0{}^\circ Y $ . The value of temperature on X-scale equal to the temperature of $ 50.0{}^\circ Y $ on Y-scale is :
Options:
A) $ 455.0{}^\circ X $
B) $ -125.0{}^\circ X $
C) $ 1375.0{}^\circ X $
D) $ 1500.0{}^\circ X $
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Answer:
Correct Answer: C
Solution:
$ \frac{X-(125)}{500}=\frac{Y-(-70)}{40} $
For $ \text{Y=50} $
$ \text{X=1375}\text{.}{{\text{0}}^{\text{o}}}\text{X} $