MCQ
The temperature of two bodies measured by a thermometer are $t_1 = 20\, ^oC + 0.5\, ^oC$ and $t_2 = 50\,^oC + 0.5\, ^oC$. The temperature difference and the error there in is
  • $30{\,^o}C \pm 1{\,^o}C\,$
  • B
    $70{\,^o}C \pm 0.5{\,^o}C\,$
  • C
    $30{\,^o}C \pm 0.5{\,^o}C\,$
  • D
    $70{\,^o}C \pm 1{\,^o}C\,$

Answer

Correct option: A.
$30{\,^o}C \pm 1{\,^o}C\,$
a
Here,

$\mathrm{t}_{1}=20^{\circ} \mathrm{C} \pm 0.5^{\circ} \mathrm{C}$

$\mathrm{t}_{2}=50^{\circ} \mathrm{C} \pm 0.5^{\circ} \mathrm{C}$

The temperature difference of two bodies is

$\mathrm{t}=\mathrm{t}_{2}-\mathrm{t}_{1}=50^{\circ} \mathrm{C}-20^{\circ}=30^{\circ} \mathrm{C}$

The error in temperature differerence is given by

$\Delta \mathrm{t}=\left(\Delta \mathrm{t}_{1}+\Delta \mathrm{t}_{2}\right)$

$=\left(0.5^{\circ} \mathrm{C}+0.5^{\circ} \mathrm{C}\right)=1^{\circ} \mathrm{C}$

The temperature difference is $30^{\circ} \mathrm{C} \pm 1^{\circ} \mathrm{C}$

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