Answer the following problems.

number 3, 4, and 5 only. Show the solution.

Homework #2 (Uncertainty and Error Analysis) 3. The mass of an object is found to be (24.5 i 0.1) 3. Find the (a) absolute certainty and (b) relative uncertainty of the mass of the object. 4. The density of an object was found to be 2.73%; i 1.2%. What is the absolute uncertainty of the density of the object? 5. The following are the values obtained in measuring the temperature of a room: 310C, 30.5C, 30.0C, 31.3C, 30.8C, 306C, and 31.1%\". What is the room temperature? 6. The length of a pencil was measured using a ruler (shown in the figure). *7\" " ' Wm Find (a) the best estimate of the length of the pencil, (b) the least count of the ruler, (c) the length of the pencil when expressed in terms of 1 cm absolute uncertainty, and (d) the length of the pencil when expressed in terms of relative uncertainty / \"nan-3hr: err: ...,. . .. .. . . . /