UNCERTAINTY AND ERROR ANALYSIS

Answer the following problems (1 to 4 only). Show the solution.

. 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 1. Two trials were performed in an experiment to determine the latent heat of vaporization (L,,) of water at 100C. The values of Lv of water obtained were 532 cal/g and 536 cal/g. Find the percent error for each measurement if the accepted value of L,, of water at 100C is 540cal/g. 2. In an experiment, 10 trials were done to determine the range of a projectile. The measurements for the range of the projectile in centimeters are as follows: 134.8 133.9 135.1 134.7 135.3 Determine the (a) mean, (b) variance, (c) standard deviation, and (d) measured range of the projectile. /