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

Question

The temperatures of two bodies measured by a thermometer are t1=20 °C ±0.5 °C and t2=50 °C ±0.5 °C. The temperature difference and the error there in is (A) 30 °C ±1 °C  (B) 70 °C ± 0.5 °C  (C) 30 °C ± 0.5 °C  (D) 70 °C ± 1 °C

Tardigrade Admin · Accepted Answer

Here, t1=20 °C ±0.5 °C ; t2=50 °C ±0.5 °C The temperature difference of two bodies is t=t2-t1=50 °C -20 °C =30 °C The error in temperature difference is given by Δ t=(Δ t1+Δ t2)=(0.5 °C+0.5 °C)=1 °C ∴ The temperature difference is 30 °C ±1 °C.

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

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

$70^{\circ} C \pm 0.5^{\circ} C$

$30^{\circ} C \pm 0.5^{\circ} C$

$70^{\circ} C \pm 1^{\circ} C$

Q. The temperatures of two bodies measured by a thermometer are t1​=20∘C±0.5∘C and t2​=50∘C±0.5∘C. The temperature difference and the error there in is

30∘C±1∘C

70∘C±0.5∘C

30∘C±0.5∘C

70∘C±1∘C

Here, t1​=20∘C±0.5∘C ; t2​=50∘C±0.5∘C The temperature difference of two bodies is t=t2​−t1​=50∘C−20∘C=30∘C The error in temperature difference is given by Δt=(Δt1​+Δt2​)=(0.5∘C+0.5∘C)=1∘C ∴ The temperature difference is 30∘C±1∘C.

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

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

$70^{\circ} C \pm 0.5^{\circ} C$

$30^{\circ} C \pm 0.5^{\circ} C$

$70^{\circ} C \pm 1^{\circ} C$