Two quantities are measured as and

PHYSICS · Single correct · CBSE · Physics · Units and Measurements · Units and Measurements

Problem

Two quantities are measured as

a = 12.0 \pm 0.3\,\text{units}

and

b = 4.00 \pm 0.10\,\text{units}

. A new quantity is defined by

q = \bigl(a\,b^{2}\bigr)^{1/3}.

The percentage uncertainty in

q

is (a)

5.0\%

(b)

2.5\%

(c)

7.5\%

(d)

1.9\%