CBSE CLASS 11- PHYSICS --ERROR WORKSHEET

                                                                        

                                                                             WORKSHEET

1. The sides of a rectangle are (10.5 ± 0.2) cm and (5.2 ± 0.1) cm. Calculate  its perimeter with error

     limits.       (Ans. (31.4 ± 0.6) cm)

2. If displacement of a body s = (200 ± 5) m and time taken by it t = (20 +0.2) s, then

    find the percentage error in the calculation of velocity. (Ans. 3.5%)

3. A physical quantity is measured as Q = (2.1 ± 0.5) units. Calculate the percentage error in 

       (a) Q²   (b) 2Q.     (Ans.  48% and 24% )     Solution

4.The length of a rod as measured in an experiment was found to be 2.48m, 2.46m, 2.49m, 2.50m      and 2.48m. Find the average length, absolute error and percentage error. Express the result with  error limit.  (Ans.   2.48 ± 0.01)m (2.48m ± 0.40%)

5. The error in the measurement of radius of a sphere is 2%. What would be

     the error in :

    (a) Volume of sphere

    (b) Surface area of sphere.    (Ans. 6% and 4% )

6. The value of two resistors are R₁ = (6 ± 0.3) Ω and R₂ = (10± 0.2) Ω. Find the percentage error in the equivalent resistance when they are connected in parallel.   (Ans. 10.125% )   Solution

7. The mass and the volume of a body are found to be 5.00 ± 0.05 kg and 1.00 ± 0.05  m³    respectively. What is the maximum possible percentage error in its density.  (Ans. 6%)

8. What are the number of significant figures for the  numbers 23.023 , 0.0003 and 2.1 x  10^-3  ?

9.  The refractive index (μ) of water is found to have the values 1.29, 1.33, 1.34, 1.35, 1.32, 1.36, 1.30 and 1.33. Calculate the mean value, absolute error, the relative error and the percentage error. (Ans. 1.33 , 0.02 ,  0.02, ± 1.5 %)

10.  A current of 3.5 ± 0·5 ampere flows through metallic conductor.  And a potential difference of 21 ± 1 volt is applied. Find the Resistance of the wire.  (Ans. R = 6 ± 1.14 Ω )