1.

The dimensions of a rectangular block measured with callipers having least count of 0.01 cm are 5 mm xx 10 mm xx 5 mm. The maximum percentage error in the measurement of the volume of the block is

Answer»

`5%`
`10%`
`15%`
`20%`

Solution :`"Volume" = "length" XX "Breath" xx "Height"`
`V= Lxx B xx H`
the maximum relative ERROR in V is `(DeltaV)/(V)= (DeltaL)/(L)+ (DeltaB)/(B)+(DeltaH)/(H)`
THEMAXIMUM percentage error in V is
`(DeltaV)/(V) xx 100= (DeltaL)/(L)xx 100+ (DeltaB)/(B)xx100+ (DeltaH)/(H)xx100`
`= (0.01)/(0.5)xx 100+ (0.01)/(1.0)xx 100+ (0.01)/(0.5)xx 100= 2%+ 1%+ 2%= 5%`


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