Question 283: Units , Dimensions and Error Analysis

Question

A wire of length $$l = 6 \pm 0.06$$ cm and $$r = 0.5 \pm 0.005$$ cm and mass $$m = 0.3 \pm 0.003$$ gm. Maximum percentage error in density is

Accepted Answer

We have
V = l
3
= (1.2 $$	imes$$ 10
$$-$$2
)
3
= 1.728 $$	imes$$ 10
$$-$$6
m
3
Since l has two significant figures, V should also have two significant figures; hence,
V = 1.7 $$	imes$$ 10
$$-$$6
m
3
Answer (A)

Answer

4

Answer

2

Answer

1

Answer

6.8

Units , Dimensions and Error Analysis

A wire of length $l = 6 \pm 0.06 cm and r = 0.5 \pm 0.005 cm and mass m = 0.3 \pm 0.003$ gm. Maximum percentage error in density is

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