The volume V of a cylinder of radius R and height H is given by V = \(\pi \)R²H. The volume of the cylinder was measured with an uncertainty of 10% and the height was measured with an uncertainty of 6%. What is the uncertainty in the radius of the cylinder?

A. 1%
B. 2%
C. 4%
D. 8%

D

Two lengths, \(a\) and \(b\), are measured to be \(51 \pm 1{\text{ cm}}\) and \(49 \pm 1{\text{ cm}}\) respectively. In which of the following quantities is the percentage uncertainty the largest?

A.     \(a + b\)

B.     \(a - b\)

C.     \(a \times b\)

D.     \(\frac{a}{b}\)

B

What is a correct value for the charge on an electron?

A. 1.60 x 10^–12 μC

B. 1.60 x 10^–15 mC

C. 1.60 x 10^–22 kC

D. 1.60 x 10^–24 MC

C

A ball is thrown with velocity u at an angle of 55° above the horizontal. Which of the following is the magnitude of the horizontal component of velocity?

A. u cos 55°
B. u sin 55°
C. u
D. u tan 55°

A

Which of the following expresses the units of capacitance in terms of fundamental units?

A. \({{\rm{s}}^{\rm{4}}}{{\rm{A}}^{\rm{2}}}{{\rm{m}}^{{\rm{ - 2}}}}{\rm{k}}{{\rm{g}}^{{\rm{ - 1}}}}\)

B. \({{\rm{s}}^{\rm{2}}}{\rm{A}}{{\rm{m}}^{{\rm{ - 2}}}}{\rm{k}}{{\rm{g}}^{{\rm{ - 1}}}}\)

C. \({{\rm{s}}^{\rm{4}}}{{\rm{A}}^{\rm{2}}}{{\rm{m}}^{{\rm{ - 2}}}}\)

D. \({{\rm{s}}^{\rm{2}}}{\rm{A}}{{\rm{m}}^{{\rm{ - 2}}}}\)

A