The temperatures of two bodies measured by a thermometer are t1-20oC- 0-5oC and t2-50oC- 0-5oC- Calculate the temperature difference and error there in-

t 1=20^∘ C± 0.5^∘C t _ 2 = 50 ^ #10;∘ #160; C± 0. 5 ^∘C #10; #10; t= t _ 2 t #10;_ 1 #10; #10; = 50 ^∘C 20^∘C=30^∘C #10; ...

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Standard XII

Physics

Area and Volume Expansion

The temperatu...

Question

The temperatures of two bodies measured by a thermometer are $t_{1} = 20^{o} C \pm {0.5}^{o} C$ and $t_{2} = 50^{o} C \pm {0.5}^{o} C$ . Calculate the temperature difference and error there in.

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Solution

$t - 1 = 20^{\circ} C \pm 0. 5^{\circ} C$
$t_{2} = 50^{\circ} C \pm 0. 5^{\circ} C$

$t = t_{2} - t_{1}$

$= 50^{\circ} C - 20^{\circ} C = 30^{\circ} C$

$△ t = \pm △ t_{2} - △ t_{1}$

$△ t = \pm 0.5 + 0.5 = \pm 1^{\circ} C$

temperature diff

$= 30 \pm 1^{\circ} C$

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The temperatures of two bodies measured by a thermometer are t1=20oC±0.5oC and t2=50oC±0.5oC. Calculate the temperature difference and error there in.

t−1=20∘C±0.5∘Ct2=50∘C±0.5∘C t=t2−t1 =50∘C−20∘C=30∘C △t=±△t2−△t1 △t=±0.5+0.5=±1∘C temperature diff =30±1∘C

The temperatures of two bodies measured by a thermometer are $t_{1} = 20^{o} C \pm {0.5}^{o} C$ and $t_{2} = 50^{o} C \pm {0.5}^{o} C$ . Calculate the temperature difference and error there in.

$t - 1 = 20^{\circ} C \pm 0. 5^{\circ} C$
$t_{2} = 50^{\circ} C \pm 0. 5^{\circ} C$

$t = t_{2} - t_{1}$

$= 50^{\circ} C - 20^{\circ} C = 30^{\circ} C$

$△ t = \pm △ t_{2} - △ t_{1}$

$△ t = \pm 0.5 + 0.5 = \pm 1^{\circ} C$

temperature diff

$= 30 \pm 1^{\circ} C$