Related InterviewSolutions

• A force F is applied on a square plate of side L. If the percentage error in the determination of L is 2% and that in F is 4%. What is the permissible error in pressure?A. 0.08B. 0.06C. 0.04D. 0.02
• The mass and density of a solid sphere are measured to be `(12.4 +-0.1)kg and (4.6 +- 0.2) kg//m^3`. Calculate the volume of the sphere with error limits .
• A thin wire has length of 21.7 cm and radius 0.46 mm. Calculate the volume of the wire to correct significant figures?
• The period of oscillation of a simple pendulum is `T = 2pisqrt(L//g)`. Measured value of L is `20.0 cm` known to `1mm` accuracy and time for 100 oscillations of the pendulum is found to be 90 s using a wrist watch of 1 s resolution. What is the accuracy in the determination of g?
• The radius of a sphere is measured to be `(1.2 +- 0.2)cm`. Calculate its volume with error limits.
• Let us now use a millimeter scale (on which millimeter marks are there). This is also our normal meter scale which we use in our routine life. From the figure, we can see that length AB is more than 3.3 cm and less than 3.4 cm. If we note down the length, ` `l= AB = 3.4cm. ` Then, this measurement has two significant figures 3 and 4 in which 3 is absolutely correct and 4 is reasonably correct (doubtful). Least count of this scale is 0.1 cm because this scale can measure accurately only upto 0.1 cm. Futher, maximum uncertainly or maximum possible error in l can also be 0.1 cm.
• Radius of a wire is 2.50 mm. The length of the wire is 50.0 cm. If mass of wire was measured as 25g, then find the density of wire in correct significant figures. `[Given, pi = 3.14, exact]`
• Find, volume of a cube of side a = `1.4 xx (10^-2)` m.
• Let us use a centimeter scale (on which only centimeter scales are there) to measure a length AB. From the figure, we can see that length `AB` is more than `7 cm` and less than `8cm` . In this case, Least Count `(LC)` of this centimeter scale is 1 cm, as it can measure accurately, upto centimeters only. If we note down the length (l) of line AB as l = 7cm then maximum uncertainly or maximum possible error in l can be 1 cm(=LC), because this scale can measure accurately only upto 1cm.
• If we measure a length l=3.267 cm with the help of a screw gauge, then (a) What is maximum uncertainty or maximum possible error in l? (b)How many significant figures are there in the measured length ? (c) Which digits are absolutely correct and which is/are doubtful?