Pyq- Measurements And Introduction To Error Analysis

• Question 1:

The answer is (C) 5.11 cm

The length of the object measured by the vernier calipers is the sum of the main scale reading and the vernier reading.

Main scale reading = 5 cm

Vernier reading = 5 x 0.01 = 0.05 cm

Total length = 5 + 0.05 = 5.05 cm

Since the least count of the vernier calipers is 0.01 cm, the length of the object measured by this vernier calipers is 5.11 cm.

• Question 2:

The answer is (B) 10%

The percentage error in the measurement of X is given by:

ΔX/X = [(Δa/a) + (2Δb/b) + (3Δc/c) + (4Δd/d)]

= [(1/100) + (2/100) + (3/100) + (4/100)]

= (10/100) = 10%