UNCERTAINTY AND ERROR ANALYSIS

Answer the following problem (5 to 8 only). Show your Solution or Explanation

. The mass of an object is found to be (24.5 i 0.1) 9. Find the (a) absolute certainty and (b) relative uncertainty of the mass of the object. . The density of an object was found to be 2.7 i + 1.2%. What is the cm3 _ absolute uncertainty of the density of the object? . The following are the values obtained in measuring the temperature of a room: 31.0C, 30.5C, 30.0C, 31.3C, 30.8C, 306C, and 311C. What is the room temperature? . The length of a pencil was measured using a ruler (shown in the figure). 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 7. Find the circumference and cross-sectional area of a circle with radius (3.25 i 0.01) cm. 8. A cylindrical object has a density of (2.7 i 0.3) g/cm3. What is the mass of this object if its radius and height are (2.5 i 0.1) cm and (6.75 i 0.05) cm, respectively