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} $



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