Temperature of two bodies measured by a thermometer are t1 = 20c +- 0 5c and t2= 50c +- 0 5c What is the tenperature difference and the error there in?

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Solution

$t_{1} = 20 ° C \pm 0.5 ° C t_{2 =} 50 ° C \pm 0.5 ° C T e m p e r a t u r e d i f f e r e n c e, t = t_{2} - t_{1} = 50 ° C - 20 ° C = 30 ° C M a x i m u m e r r o r i n d i f f e r e n c e ∆ t = \pm (∆ t_{1} + ∆ t_{2}) = \pm (0.5 + 0.5) = \pm 1 ° C T h e r e f o r e, t e m p e r a t u r e d i f f e r e n c e = (30 \pm 1) ° C$

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Temperature of two bodies measured by a thermometer are t1 = 20c +- 0 5c and t2= 50c +- 0 5c What is the tenperature difference and the error there in?

t1 = 20°C ±0.5°C t2 = 50°C ±0.5°CTemperature difference, t=t2-t1 = 50°C-20°C = 30°CMaximum error in difference ∆t=±∆t1+∆t2 =±0.5+0.5 =± 1°C Therefore, temperature difference = 30±1°C