Which of the following measurement is most precise?
5.00 mm
5.00 cm
5.00 m
5.00 km
The mean length of an object is 5 cm. Which of the following measurements is most accurate?
4.9 cm
4.805 cm
5.25 cm
5.4 cm
Young's modulus of steel is $1.9 \times 10^{11}$ N / $m^2$. When expressed in CGS units of dyne/cm2, it will be equal to (1N = $10^5$ dyne, 1 $m^2$ = $10^4$ cm2)
$1.9 \times 10^{10}$
$1.9 \times 10^{11}$
$1.9 \times 10^{12}$
$1.9 \times 10^{13}$
If momentum (p), area (A) and time (T) are taken to be fundamental quantities, then energy has the dimensional formula
[pA-1T-1]
[p2AT]
[pA-1/2T]
[ pA1/2T]
On the basis of dimensions, decide which of the following relations for the displacement of a particle undergoing simple harmonic motion is not correct?
$y = a \sin 2 \pi t / T$
$y = a \sin vt$
$y = \frac {a} {T} \sin \left( \frac {t} {a} \right)$
$y = a \sqrt{2} \left( \sin \frac{2\pi t}{T} - \cos \frac{2\pi t}{T} \right)$