Free questions · NEET · Physics

Units and Measurements: questions with solutions

3 free questions from this chapter (the full set has 30). Marking: +4 for correct · −1 for incorrect · 0 for unattempted.

Question 1Level 3 · AdvancedSingle correct
Which of the following measured values has the greatest number of significant figures?
A g
B703.0 cm
C70300 m
D0.0070300 kg
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Answer: D

Leading zeros are never significant; trailing zeros after a decimal point are. 0.0070300 has the significant digits 70300, i.e. 5. has 4 (the power of ten does not count). 703.0 has 4. In 70300 (no decimal point) the trailing zeros are not significant as per NCERT, so it has 3. Trap: counting all digits of 0.0070300 (8) or treating 70300 as 5 significant figures. Exam pattern: NEET – rules for counting significant figures
Question 2Level 2 · ExamSingle correct
A length is recorded as 4.700 m. Which way of writing it in millimetres preserves exactly the same number of significant figures?
A4700.0 mm
B4700 mm
C mm
D mm
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Answer: C

A change of units must not change the number of significant figures (NCERT). 4.700 m has 4 significant figures. Writing 4700 mm is ambiguous: by the NCERT convention its trailing zeros are not significant, giving only 2. mm has 2, and 4700.0 mm wrongly claims 5. Scientific notation mm keeps all 4. Exam pattern: NEET – NCERT statement that significant figures do not depend on units
Question 3Level 3 · AdvancedSingle correct
Each of the following numbers is rounded off to three significant figures following the NCERT rules. Which rounding is INCORRECT?
A2.745 rounded to 2.74
B2.735 rounded to 2.74
C2.7349 rounded to 2.73
D2.7451 rounded to 2.74
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Answer: D

NCERT rule: if the digit dropped is more than 5 (or 5 followed by non-zero digits), raise the preceding digit; if less than 5, leave it; if exactly 5 (nothing after), raise the preceding digit only if it is odd. 2.745: preceding 4 is even, so 2.74 is correct. 2.735: preceding 3 is odd, so it becomes 2.74, correct. 2.7349: dropped part 49 is less than 5, giving 2.73, correct. 2.7451: dropped part is 51, more than 5, so it must become 2.75. The trap is to apply the even-digit rule to 2.7451. Exam pattern: NEET – rounding off with the 'dropped digit is 5' rule

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