Units and Measurements Test

Result

Units and Measurements Test - 8

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Question 1
1 / -0

The significant figures of a number

A
are those digits that carry meaning contributing to its accuracy

B
are those that are at even positions after decimal

C
are those that are at odd positions after decimal

D
are all non zero digits
Solution
The significant figures of a number are digits that carry meaning contributing to its measurement resolution. This includes all digits except:
- All leading zeros;
- Trailing zeros when they are merely placeholders to indicate the scale of the number (exact rules are explained at identifying significant figures); and
- Spurious digits introduced, for example, by calculations carried out to greater precision than that of the original data, or measurements reported to a greater precision than the equipment supports.
Question 2
1 / -0

The dimensions of a physical quantity are

A
the sum of all the number of base quantities

B
the mean of the exponents of base quantities

C
the sum of the exponents of base quantities

D
the powers (or exponents) to which the base quantities are raised to represent that quantity

Solution

The dimension of the units of a derived physical quantity may be defined as the number of times the fundamental units of mass, length and time appear in the physical quantity.

The expression for velocity obtained above is said to be its dimensional formula. Thus, the dimensional formula for velocity is [M⁰L¹T^-1].
Question 3
1 / -0

According to the principle of homogeneity of dimensions

A
we can subtract similar physical quantities

B
we can add or subtract similar physical quantities

C
we can add or subtract any physical quantities

D
we can add similar physical quantities

Solution

It would be more exact to say that "Quantities with the same units can be added and subtracted with no problem." Quantities with the same dimensions can often be added and subtracted as long as the units are correctly converted.