Question

The temperature of two bodies measured by a thermo
metes are t = 20ct 0.5C and t,
-50c +0.5c.
Calculate the temperature and the error their in​

Answer 1

Correct Question :

❒ The temperature of two bodies measured by a thermometer are

• $\tt{T_1=20^{\circ}C\pm0.5^{\circ}C}$
• $\tt{T_2=50^{\circ}C\pm0.5^{\circ}C}$.

The temperature difference and the error there in is...

Solution :

$\star$ The basic concept behind this questions is, In all mathematical operations, the errors are of additive nature.

Here,

» T₁ = 20°C ± 0.5°C

» T₂ = 50°C ± 0.5°C

The temperature difference of two bodies is

➙ T = T₂ - T₁

➙ T = 50 - 20

➙ T = 30°C

The error in temperature difference is given by

➙ ∆T = ∆T₁ + ∆T₂

➙ ∆T = 0.5 + 0.5

➙ ∆T = 1°C

∴ The temperature difference is (30°C ± 1°C)