Question

Question 17

Which of the following shows the maximum rise in temperature?

(a) $0^{\circ }$C to ${10}^{\circ }$C

(b) $-4^{\circ }$C to $8^{\circ }$C

(c) $-{15}^{\circ }$C to $-8^{\circ }$C

(d) $-7^{\circ }$C to $0^{\circ }$C

Answer 1

We know that, the maximum rise in the temperature is equal to the maximum value of the difference between the two temperatures.

(a) Difference of $0^{\circ }$C and ${10}^{\circ }$C $={10}^{\circ }C-0^{\circ }C={10}^{\circ }C$

(b) Difference of $-4^{\circ }$C and $8^{\circ }$C $=8^{\circ }C-(-4^{\circ }C)=8^{\circ }C+4^{\circ }C={12}^{\circ }C$

(c) Difference of $-{15}^{\circ }$C and $-8^{\circ }$C $=-8^{\circ }C-(-{15}^{\circ }C)=-8^{\circ }C+{15}^{\circ }C=7^{\circ }C$

(d) Difference of $-7^{\circ }$C and $0^{\circ }$C $=0^{\circ }C-(-7^{0}C)=0^{\circ }C+7^{\circ }C=7^{\circ }C$

The maximum rise is temperature is shown by $-4^{\circ }$C and $8^{\circ }$C $={12}^{\circ }C$, all others are less than this.

Hence, the option (b) shows the maximum rise in temperature.