Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Advanced 2025Paper 1
Exam
JEE Advanced
Year
2025
Paper
Paper 1
Subject
Physics
Chapter
Mathematics in Physics

JEE Advanced 2025 · Paper 1 · Physics · Mathematics in Physics

Length, breadth and thickness of a strip having a uniform cross...

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:

Options

  1. A3.2×10−53.2 \times 10^{-5}
  2. B32.0×10−632.0 \times 10^{-6}
  3. C3.0×10−53.0 \times 10^{-5}
  4. D3×10−53 \times 10^{-5}

Correct answer

D. 3×10−53 \times 10^{-5}

Step-by-step solution

L=10.5 cm→3\mathrm{L}=10.5 \mathrm{~cm} \rightarrow 3 significant digits b=0.05 cm→1\mathrm{b}=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=3×10−5cc\begin{aligned} & \Rightarrow \mathrm{V}=10.5 \times 0.05 \times 10^{-1} \times 6.0 \times 10^{-4} \mathrm{~cm}^3 \\ & =3 \times 10^{-5} \mathrm{cc} \end{aligned}
Practice Mathematics in Physics on Quantrex Academy →

More from Mathematics in Physics

The density ρ of a uniform cylinder is determined by measuring its mass m , length l and… JEE Main 2026Four persons measure the length of a rod as 20.00 ~cm, 19.75 ~cm, 17.01 ~cm and 18.25 cm.… JEE Main 2026In an experiment the values of two spring constants were measured as k_ 1 =(10 ± 0.2) N /… JEE Main 2026A quantity Q is formulated as X^ -2 Y^ +(3)/(2) Z^ -(2)/(5) · X, Y and Z are independent… JEE Main 2025A physical quantity C is related to four other quantities p, q, r and s as follows C=… JEE Main 2025A physical quantity Q is related to four observables a, b, c, d as follows : Q= ab ^4 ~cd… JEE Main 2025For an experimental expression y=(32.3 × 1125)/(27.4) , where all the digits are… JEE Main 2025The energy of a system is given as E(t)=α^3 e^ -β t , where t is the time and β=0.3 ~s^… JEE Main 2025 Full Mathematics in Physics list All JEE Advanced PYQs