Question

On a $X$ temperature scale, water freezes at $-{125.0}^o$ X and boils at ${375.0}^{o}X$ . On a $Y$ temperature scale water freezes at $-{70.0}^{o}Y$ and boils at $-{30.0}^{o}Y$ . The value of temperature on $X$ scale equals to the temperature of ${50.0}^{o}Y$ on $Y-$ scale is :

• A. ${455.0}^{o}X$
• B. $-{625.0}^{o}X$
• C. ${1375.0}^{o}X$
• D. ${1500.0}^{o}X$

Answer 1

The correct option is B. $-{625.0}^{o}X$.

It is given that, water boils at ${375.0}^o$ on $X$ temperature scale and at $-{30.0}^{o}Y$ on the $Y$ temperature scale

$\therefore {375}^{\circ }X=-{30}^{\circ }Y$

$\Rightarrow 1^{\circ }Y=\frac{-{375}^{\circ }}{{30}^{\circ }}X$

So the ${50}^{\circ }Y$ will be equal to

${50}^{\circ }Y=-\frac{-{375}^{\circ }}{{30}^{\circ }}\times {50}^o=-{625}^{\circ }X$.