Question

Procedure: Determination the value of the density (p). 1. Use a balance to determine the mass of the solid cylinder and record the value in table 1. 2. Take different trials in measuring the mass and record your data in table 1. 3. Calculate the average value of the mass of the solid cylinder and record it in table 1. 4. Estimate the uncertainty in the mass by taking it to be equal to half the smallest division of the balance used and record this value in table 1. 5. Use the micrometer to measure the value of the diameter of the solid cylinder (d) and write down the value in table 1. 6. Use the Vernier Caliper to determine the height of the cylinder (h) and write down the value in table 1. 7. Repeat the last two steps to fill the table. 8. Calculate the average values of (d) and (h) and write down these values in the table 1. 9. Estimate the uncertainties in the height and the diameter of the solid cylinder by taking the uncertainty to be equal to the smallest division on the tool used and record these two values in table 1. 10. Calculate the volume (V) of the solid cylinder using the equation: 2 V = 1 h 11.Determine the value of (p) using equation (1). 12.Calculate the average value of density (0) and write it down the value in the table 1. 13.Determine the standard deviation (uncertainty), Ap, of (p) using the equation: 2 Am 2 Δρ = 0 Ad +4 +

Answer 1

trial no	m(g)	d(cm)	h(cm)	v(cm^3)	$\rho$(g/cm^3)
1	77.92	19.75	32.34	9907.50	7.86 x 10-3
2	77.81	19.74	32.32	9891.35	7.86 x 10-3
3	77.95	19.76	32.36	9923.67	$7.85\times 10^{-3}$
4	77.98	19.75	32.34	9907.5	$7.87\times 10^{-3}$
5	77.99	19.73	32.32	9881.33	7.89 x 10-3
Average	$(\bar m)$77.93	$(\bar d)$19.74	$(\bar h)$32.33	9902.27	$\bar \rho =7.866\times 10^{-3}$
Uncertainty	$\Delta m=$0.005 (point 4 ---> uncertainty of mass is half of smallest division )	$\Delta d=$0.01 (smallest division)	$\Delta h=$0.01 (smallest division)		$\Delta \rho= 8.34\times 10^{-6}$