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The temperature of two bodies measured b...

The temperature of two bodies measured by a thermometer are `t_1=20^@C pm 0.5^@C ` and `t_2=50^@C pm 0.5^@C` . Calculate the temperature difference and error there in .

A

`30^(@)C+-1^(@)C`

B

`70^(@)C+-0.5^(@)C`

C

`30^(@)C+-0.5^@C`

D

`70^(@)C+-1^(@)C`

Text Solution

Verified by Experts

The correct Answer is:
A
Here, `t_(1)=20^(@)C+-0.5^(@)C,t_(2)=50^(@)C+-0.5^(@)C`
The temperature difference of two bodies is
`t=t_(2)-t_(1)=50^(@)C-20^(@)C=30^(@)C`
the error in temperature difference of two bodies is
`Deltat=(Deltat_(1)+Deltat_(2))=(0.5^(@)C+0.5^(@)C)=1^(@)C`
`therefore` The temperature difference is `30^(@)C+-1^(@)C`.
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