XI-Unit & Measurement :: Error Calculation -Paper no-01

Hello students . You are studying error calculation of unit-2 , Unit & Measurement  . For your practice , answer the following questions with in two days .

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Error  Calculation :: Paper – 01

1. The percentage error in the distance (125.0 + 0.5) cm is .
   (A)4 %  (B) 0.04 %    (C) 0.4 %   (D) 40 %  (2)
2. When a current of (2.5 + 0.5) A flows through a wire, it develops a potential difference of (20 + 1)V. The resistance of the wire is
   (B) (8 ± 1.5)Ω    (B) (8 ± 1)Ω     (C) (8 ± 0.5)Ω      (D) (8 ± 2 )Ω       (2)
3. Two resistors of resistances , R₁ = (100 ±3 )Ω and R₂ = (200 ± 4) Ω are connected  in series .  Find the equivalent resistance of the series combination . (2)
4. The temperature at 7AM is ( 27.0 ± 0.5 ) °C and at 11 AM , it is ( 52.5 ± 0.5 )°C . Find the rise in temperature .  (2)
5. The mass of an object is (225 ± 0.05) g . Calculate % error in this measurement.(2)
6. The length, breadth, and thickness of a block of metal were measured by a student in practical lab . The measurements are:
   l = (5.250 ± 0.001) cm
   b = (3.450 ± 0.001) cm,
   t = (1.740 ± 0.001) cm.
   Find the volume of the block with percentage error in the measurement of the volume of the block.  (3)
7. The refractive index  (μ) of a glass slab were  found to have values 1.29, 1.33, 1.34, 1.35, 1.32, 1.36, 1.30, 1.33. Find the mean absolute value of μ ,  the percentage error . Express the value of μ with error correction . (3)
8. If the volume of a cylinder is V  = (0.785 ± 0.008)cm² and mass m = ( 6.25 ± 0.01) g. Find the density and the percentage error in determination of density .(3)
9. In Ohm’s experiment, the values of an unknown resistance were found to be 4.12 Ω , 4.08 Ω, 4.22 Ω and 4.14 Ω . Calculate absolute error, relative  error and percentage error in these measurement.(3)
10. The acceleration of a car is given as , a = ( 2 ± 0.01) m/s² .  Find the velocity of the car in a time period , t = (10 ± 0.01)s . Also  find the percentage error in the measurement of velocity . (3)