One inch is equal to ____ CM

Physics
One inch is equal to ____ CM

ScanSolve AI Answer

Answer

(c)

Step 1: Identify the standard conversion factor for inches to centimeters.
The exact definition is:
1inch=2.54cm1\,inch = 2.54\,\text{cm}

Step 2: Verify using millimeter definition (optional confirmation).
1 inch =25.4= 25.4 mm exactly.
Since 11 cm =10= 10 mm,
1inch=25.4mm×1cm10mm=2.54cm1\,inch = 25.4\,mm \times \frac{1\,cm}{10\,mm} = 2.54\,\text{cm}

Step 3: Compare with given options (all in cm).
(a) 2.342.34 cm 2.54\neq 2.54 cm
(b) 2.442.44 cm 2.54\neq 2.54 cm
(c) 2.542.54 cm == 2.542.54 cm (matches)
(d) None of these (incorrect, since (c) matches)

(c)

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Identify the standard conversion factor for inches to centimeters. The exact definition is: 1\,inch = 2.54\,cm Step 2: Verify using millimeter definition (optional confirmation).

One inch is equal to ____ CM
Physics

This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

ScanSolve AI Answer
Step 1: Identify the standard conversion factor for inches to centimeters. The exact definition is: 1\,inch = 2.54\,cm Step 2: Verify using millimeter definition (optional confirmation). 1 inch = 25.4 mm exactly. Since 1 cm = 10 mm, 1\,inch = 25.4\,mm × 1\,cm10\,mm = 2.54\,cm Step 3: Compare with given options (all in cm). (a) 2.34 cm ≠ 2.54 cm (b) 2.44 cm ≠ 2.54 cm (c) 2.54 cm = 2.54 cm (matches) (d) None of these (incorrect, since (c) matches) (c)