Wheatstone's Bridge - 6

Medium:

1. In an experiment, values of two resistances are measured to be r₁ = (5.0 ± 0.2) and r₂ = (10.0 ± 0.1). Find the values of total resistance in parrallel with limits of percentage error.
   Solution:- Combined resistance in parallel (R_P) is given by
   
   R_P =
   
             = ± 0.07 (Relative error)
   R_P = ± 7 %
            = (3.3 + 7 %)
   
   
2. Calculate the total length of a spherical mirror from the following observations: objects distance u = (50.1 ± 0.5) cm and image distance v = (20.1 ± 0.2) cm.
   Solution:- As
                         f = = 14.3 cm
   Also            
                              = ± [0.00998 + 0.00995 + 0.00997]
                              = ± 0.02990
                        f = 0.02990 x f = 0.0299 x 14.34 = 14.34 = 0.428 = 0.4 cm
                           f = (14.3 ± 0.4) cm
   
   
3. The time period of oscillation of simple pendulum is given by t = . What is the accuracy in the determination of g if 10 cm length is known to 1mm accuracy and 0.5 s time period is measured from time of 100 oscillations with a watch of 1 s resdution.
   Solution:- Here
                 t = 1 sec, and
   time of 100 oscillation t = 100 x 0.5 = 50 s
   
   from t =
           t² =
           g =
   
   error 100 = ± 5 %
   
   Keywords:
   
4. Specific heat.
   
5. Temperature.
   
6. Tripple point.
   
7. Thermal capacity.