Question

Let x = `[("a"^2"b"^2)/"c"]` be the physical quantity. If the percentage error in the measurement of physical quantities a, b and c is 2, 3 and 4 percent respectively then percentage error in the measurement of x is ______.

Options

• 7%

• 14%

• 21%

• 28%

Answer 1

Let x = `[("a"^2"b"^2)/"c"]` be the physical quantity. If the percentage error in the measurement of physical quantities a, b and c is 2, 3 and 4 percent respectively then percentage error in the measurement of x is 14%.

Explanation:

Percentage error in the measurement of x

`(Deltax)/x=2(Delta"a")/"a"+2(Delta"b")/"b"+(Delta"c")/"c"`

= 2 × 2 + 2 × 3 + 4

= 4 + 6 + 4

= 14%