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The initial and final temperatures of wa...

The initial and final temperatures of water as recorded by an observer are `( 40.6 +- 0.2)^(@) C and ( 78.9 +- 0.3 )^(@) C`. Calculate the rise in temperature with proper error limits.

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Given `theta_1= (40.6 pm 0.2)^(@)C and theta_2= (78.3 pm 0.3 )^(@)C `
Rise is in temp. `theta= theta_2-theta_1 = 78.3 - 40.6 = 37.7^(@) C`
`Deltatheta = pm(Deltatheta_1+ Delta theta_2) = pm (0.2 + 0.3)= pm 0.5 ^(@) C" "therefore ` rise in temperature = `(37.7 pm 0.5)^(@)C `
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