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Class 11 Physics Chapter 1: Units and Measurement MCQs with answers

10 multiple-choice questions on Units and Measurement, each with its answer and the reason, written from the NCERT chapter. For school exams on the CBSE pattern, JEE Main and NEET, which are set from the same NCERT chapter. Open a question's solution to check your working; then take the free test to find your next chapter.

Question 1
Which one of the following is not one of the seven SI base units?
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Answer: (c) newton

The seven base units are the metre, kilogram, second, ampere, kelvin, mole and candela. The newton (kg m s⁻²) is a derived unit with a special name.

Question 2
The steradian is the SI unit of
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Answer: (b) solid angle

Solid angle dΩ = dA/r² is measured in steradian (sr); plane angle is measured in radian, luminous intensity in candela and amount of substance in mole.

Question 3
Which one of the following readings has exactly three significant figures?
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Answer: (a) 0.00203 s

0.00203 s: the leading zeros only place the decimal point, so 2, 0, 3 count: three. 0.04050 kg has four (4, 0, 5 and the trailing zero after the decimal point); 3.070 m has four; 2.300 × 10³ g has four, since every zero in the base number of scientific notation is significant.

Question 4
The length of a road is written as 3600 m, without a decimal point and not in scientific notation. By NCERT's rules, the number of significant figures in it is
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Answer: (d) 2

In a number without a decimal point the trailing zeros are not significant, so only 3 and 6 count: two significant figures.

Question 5
The diameter of a wire is measured as 0.5060 cm. When the same reading is written in metres, the number of significant figures is
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Answer: (c) 4

0.5060 cm = 0.005060 m. A change of units does not change the significant figures: the leading zeros are not significant and 5, 0, 6, 0 are, giving four.

Question 6
A rectangular plot is measured as 12.6 m long and 4.2 m wide. A student multiplies the two and reports the area as 52.92 m². How many of the digits he has written are not justified by the measurements?
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Answer: (c) 2

In multiplication the result keeps as many significant figures as the factor with the fewest: 4.2 m has two. So 52.92 m² must be reported as 53 m², and the last two digits written, 9 and 2, are not justified.

Question 7
A student adds the masses 18.62 g, 3.1 g and 0.457 g and reports the total as 22.18 g. Which statement about his result is correct?
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Answer: (c) It should be 22.2 g, since 3.1 g has only one decimal place.

The arithmetic sum is 22.177 g. In addition the result keeps as many decimal places as the least precise term, 3.1 g with one decimal place, so the total is 22.2 g. The significant-figure rule of (b) is the rule for multiplication and division, not for addition.

Question 8
By the convention for dropping a final digit 5, the number 6.375 rounded off to three significant figures is
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Answer: (b) 6.38

The digit dropped is 5 and the preceding digit, 7, is odd, so it is raised by 1: 6.38. (Had the preceding digit been even, the 5 would simply be dropped.)

Question 9
Pressure is force per unit area. Its dimensional formula is
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Answer: (a) [M L⁻¹ T⁻²]

[Force]/[area] = [M L T⁻²]/[L²] = [M L⁻¹ T⁻²].

Question 10
Which pair of physical quantities has the same dimensions?
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Answer: (d) torque and work

Torque (force × perpendicular distance) and work (force × displacement) are both [M L² T⁻²]. Impulse is [M L T⁻¹] while force is [M L T⁻²]; pressure is [M L⁻¹ T⁻²]; angular momentum is [M L² T⁻¹] while linear momentum is [M L T⁻¹].

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