Question 1. The radius of a sphere is measured as (2.1 ± 0.5) cm calculate its surface area with error limits.
Radius of the sphere = (2.1 ± 0.5) cm
.-. r = 2.1 and Ar = ± 0.5
S.A. = 4 π r2
= 4 x 3.14 x 2.1 x 2.1
=55.4 cm2
Question 2. The voltage across a lamp is (6.0 ± 0.1) volt and the current passing through it is (4.0 ± 0.2) ampere. Find the power consumed by the lamp.
Answer: Power P = V x I
Question 3. The length and breadth of a rectangular block are 25.2 cm and 16.8 cm, which have both been measured to an accuracy of 0.1 cm. Find the area of the rectangular block.
Answer: Here l = (25.2 ± 0.1) cm
b = (16.8 ±0.1) cm
Area= l x b
= 25.2 x 16.8
= 423.4 cm2
Question 4. A force of (2500 ±5) N is applied over an area of (0.32 ± 0.02) m2. Calculate the pressure exerted over the area.
Answer:
Question 5. To find the value of ‘g by using a simple pendulum, the following observations were made : Length of thread l = (100 ± 0.1) cm Time period of oscillation T = (2 ± 0.1) sec Calculate the maximum permissible error in measurement of ‘g’. Which quantity should be measured more accurately and why?
Answer:
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