(a). Two plates have lengths measured as `( 1.9 +- 0.3) m and ( 3.5 +- 0.2)m`. Calculate their combined length with error limits.
(b) The initial and final temperatures of a liquid are measured to be `67.7 +- 0.2^(@) C and 76.3 +- 0.3^(@) C`. Calculate the rise in temperature with error limits.

Answer

(a). ` ( 5.4 +- 0.5 ) m`; (b). ` = 8.6 +- 0.5^(@) C`

Explanation

(a). `l = l_(1) + l_(2) = ( 1.9 +- 0.3) + (3.5 +- 0.2) = (5.4 +- 0.5) m`
(b). `Delta T = T_(2) - T_(1) = ( 76.3 +- 0.3) - ( 67.7 +- 0.2)`
` = 8.6 +- 0.5^(@) C`