Length, breadth and thickness of a strip having a uniform cross section are measured to be 10.5 cm, 0.05 mm, and 6.0 , respectively. Which of the following option(s) give(s) the volume of the strip in with correct significant figures: [202

Question

Length, breadth and thickness of a strip having a uniform cross section are measured to be 10.5 cm, 0.05 mm, and 6.0 $μm$ , respectively. Which of the following option(s) give(s) the volume of the strip in ${cm}^{3}$ with correct significant figures: [2025]

Smart Achievers · Accepted Answer

(4)

$Given length L = 10.5 cm \to 3 significant digits$

$Breadth, b = 0.05 mm = 5 \times 10^{- 3} cm \to 1 significant digit$

$Thickness t = 6.0 μ m \to 2 significant digits$

$Therefore volume V = L b t must have only 1 significant digit$

$∴$ $V = 10.5 \times 0.05 \times 10^{- 1} \times 6.0 \times 10^{- 4} {cm}^{3} = 3 \times 10^{- 5} cc$

Solution

Q.
Length, breadth and thickness of a strip having a uniform cross section are measured to be 10.5 cm, 0.05 mm, and 6.0 $μm$ , respectively. Which of the following option(s) give(s) the volume of the strip in ${cm}^{3}$ with correct significant figures: [2025]

1 $3.2 \times 10^{- 5}$

2 $32.0 \times 10^{- 6}$

3 $3.0 \times 10^{- 5}$

4 $3 \times 10^{- 5}$

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Solution

Q. Length, breadth and thickness of a strip having a uniform cross section are measured to be 10.5 cm, 0.05 mm, and 6.0 μm, respectively. Which of the following option(s) give(s) the volume of the strip in cm3 with correct significant figures: [2025]

1 3.2×10-5

2 32.0×10-6

3 3.0×10-5

4 3×10-5