Start free

Physics · Units, Dimensions & Error Analysis

JEE Advanced 2025 — Paper 1 — Question 4

Length, breadth and thickness of a strip having a uniform cross section are measured to be 10.5 cm , 0.05 mm , and 6.0μ m6.0 \mu \mathrm{~m}, respectively. Which of the following

option(s) give(s) the volume of the strip in cm3\mathrm{cm}^{3} with correct significant figures

  1. Option A:

    3.2×10−53.2 \times 10^{-5}

  2. Option B:

    32.0×10−632.0 \times 10^{-6}

  3. Option C:

    3.0×10−53.0 \times 10^{-5}

  4. Option D:

    3×10−53 \times 10^{-5}

    Correct

Answer: D

Step-by-step solution

L=10.5 cm→3\mathrm{L}=10.5 \mathrm{~cm} \rightarrow 3 significant digits

b=0.05 cm→1b=0.05 \mathrm{~cm} \rightarrow 1 significant digit

t=6.0μ m→2\mathrm{t}=6.0 \mu \mathrm{~m} \rightarrow 2 significant digits

Volume, V=\mathrm{V}=

Lbt must have only 1 significant digit

⇒V=10.5×0.05×10−1×6.0×10−4 cm3\Rightarrow \mathrm{V}=10.5 \times 0.05 \times 10^{-1} \times 6.0 \times 10^{-4} \mathrm{~cm}^{3}

=3×10−5cc=3 \times 10^{-5} \mathrm{cc}

Answer key and solution verified before publishing.

Practise Units, Dimensions & Error Analysis

Start with this question, then two more from the same chapter — with a tutor that explains every step. Free.

Solve a similar one free
Exam
JEE Advanced 2025
Paper
Paper 1
Subject
Physics
Chapter
Units, Dimensions & Error Analysis
Topic
Significant Figures and Error Analysis
Length, breadth and thickness of a strip having a uniform cross… | JEE Advanced 2025 PYQ with Solution · DhiX AI