Question

The temperature of two bodies measured by a thermometer are t1=20degree celsius+-0.5degree celsius and t2=50degree celsius+-0.5degree celsius. Calculate the temperature difference and errors therein

Answer 1

Answer:while calculating the temperature difference along with the uncertainities the fixed values are subtracted and the uncertainities(in all cases) adds up...

So acc. To the question

50-20 +-(0.5+0.5)

=30 +-1 degrees celsius

Explanation:

Answer 2

Given: t₁ = 20°C ± 0.5°C

t₂ = 50°C ± 0.5°C

To Find: the temperature difference and errors

Solution:

An error is the uncertainty while measuring a given quantity.

While the addition of two terms having errors, the errors are added to give the final error in the result.

Even when we subtract one term from another, the errors are always added up. This is because the uncertainty increases when are deriving a result from mathematic operations of two quantities.

Here,  t₁ = 20°C ± 0.5°C and t₂ = 50°C ± 0.5°C

t₂ -  t₁  =  (50 - 20)°C ± (0.5 + 0.5)°C

           = 30°C ± 1.0°C

Therefore, the difference between the temperatures is 30°C ± 1.0°C and the absolute error is 1.0°C