Question

The initial and the final temperature of a copper sphere
was measured by an observer to be (41.2 + 0.1)°C and
(31.0 + 0.3) °C respectively. The change in the
temperature of the sphere with proper error limits is​

Answer 1

Given info : The initial and the final temperature of a copper sphere was measured by an observer to be (41.2 ± 0.1) °C and (31.0 ± 0.3) °C respectively.

To find : The change in the temperature of the sphere with proper error limits is ..

solution : initial temperature, T₁ = (41.2 ± 0.1) °C

final temperature, T₂ = (31.0 ± 0.3) °C

change in temperature, ∆T = T₁ - T₂

= (41.2 ± 0.1)°C - (31.0 ± 0.3)°C

= [(41.2 - 31.0) ± (0.1 + 0.3) ]°C

[note : error must be added for any situation ]

= (10.2 ± 0.4)°C

Therefore change in the temperature is (10.2 ± 0.4)°C