Question

$1^{\circ }C$ rise in temperature is equal to rise of:

• A. $1^{0}F$
• B. ${9/5}^{0}F$
• C. ${5/9}^{0}F$
• D. ${33}^{0}F$

Answer 1

Answer: (B)

${9/5}^{0}F$

Solution:- (B) $\frac{9}{5}℉$

As we now that,

$F=\frac{9}{5}C+32$

As the temperature is risen by $1℃$-

$C^{\prime }=C+1$

Therefore,

$F^{\prime }=\frac{9}{5}(C+1)+32$

$F^{\prime }=\frac{9}{5}C+\frac{9}{5}+32$

$\Rightarrow F^{\prime }=(\frac{9}{5}C+32)+\frac{9}{5}$

$\Rightarrow F^{\prime }=F+\frac{9}{5}$

Hence $1℃$ rise in temperature is equal to the rise in $\frac{9}{5}℉$.