The temperature of two bodies measured by a thermometes are t = 20ct 0

1.	The temperature of two bodies measured by a thermometes are t = 20ct 0.5C and t, -50c +0.5c.Calculate the temperature and the error their in
Answer» 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)

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

Answer»

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)

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