JEE Mains · Physics · STD 11 - 1. units,dimensions and measurement
The maximum percentage error in the measurment of density of a wire is [Given, mass of wire \(=(0.60 \pm 0.003) \mathrm{g}\)
radius of wire \(=(0.50 \pm 0.01) \mathrm{cm}\)
length of wire \(=(10.00 \pm 0.05) \mathrm{cm}]\)
- A 8
- B 5
- C 4
- D 7
Answer & Solution
Correct Answer
(B) 5
Step-by-step Solution
Detailed explanation
\begin{aligned} & \mathrm{d}=\frac{\mathrm{m}}{\text { vol. }}=\frac{\mathrm{m}}{\pi \mathrm{R}^2 \ell} \Rightarrow \frac{\mathrm{~d} \rho}{\rho}=\frac{\mathrm{dm}}{\mathrm{m}}+\frac{2 \mathrm{dR}}{\mathrm{R}}+\frac{\mathrm{d} \ell}{\ell} \\ & \Rightarrow \frac{\mathrm{d}…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- A coil of cross-sectional area \(A\) having \(n\) turns is placed in a uniform magnetic field \(B.\) When it is rotated with an angular velocity \(\omega ,\) the maximum \(e.m.f.\) induced in the coil will beJEE Mains 2018 Medium
- A triangular shaped wire carrying \(10 A\) current is placed in a uniform magnetic field of \(0.5\,T\), as shown in figure. The magnetic force on segment \(CD\) is \(....N\) \((\) Given \(BC = CD = BD =5\,cm )\).
JEE Mains 2022 Medium - A quantity \(x\) is given by \(\left( IF v^{2} / WL ^{4}\right)\) in terms of moment of inertia \(I,\) force \(F\), velocity \(v\), work \(W\) and Length \(L\). The dimensional formula for \(x\) is same as that ofJEE Mains 2020 Hard
- Suppose there is a uniform circular disc of mass M kg and radius r m shown in figure. The shaded regions are cut out from the disc. The moment of inertia of the remainder about the axis A of the disc is given by \(\frac{ x }{256} Mr ^2\). The value of x is ___________.
JEE Mains 2026 Easy - Given below are two statements: Statement \(I:\) Area under velocity- time graph gives the distance travelled by the body in a given time. Statement \(II:\) Area under acceleration- time graph is equal to the change in velocity- in the given time. In the light of given statements, choose the correct answer from the options given below.JEE Mains 2023 Medium
- The galvanometer deflection, when key \(K_1\) is closed but \(K_2\) is open, equals \(\theta_0\) (see figure). On closing \(K_2\) also and adjusting \(R_2\) to \(5\,\Omega \) , the deflection in galvanometer becomes \(\frac{{\theta _0}}{5}\). The resistance of the galvanometer is, then, given by [Neglect the internal resistance of battery]: .................. \(\Omega\)
JEE Mains 2019 Hard
More PYQs from JEE Mains
- Let \( y=y(x) \) be the solution of the differential equation \( secx\frac{dy}{dx}-2y=2+3~sin~x, x\in(-\frac{\pi}{2},\frac{\pi}{2}), \) \( y(0)=-\frac{7}{4}. \) Then \( y(\frac{\pi}{6}) \) is equal to :JEE Mains 2026 Hard
- The sum of all rational terms in the expansion of \(\left(1+2^{1 / 3}+3^{1 / 2}\right)^6\) is equal toJEE Mains 2025 Easy
- An ideal gas has undergone through the cyclic process as shown in the figure. Work done by the gas in the entire cycle is ______ \(\times 10^{-1} \mathrm{~J}\).
(Take \(\pi=3.14\))
JEE Mains 2025 Medium - The number of numbers, strictly between \(5000\) and \(10000\) can be formed using the digits \(1,3,5,7,9\) without repetition, is \(..........\).JEE Mains 2023 Medium
- Let \(A\) be a \(3 \times 3\) matrix such that \(X^T A X=O\) for all nonzero \(3 \times 1\) matrices \(X=\left[\begin{array}{l}x \\ y \\ z\end{array}\right]\). If \(\mathbf{A}\left[\begin{array}{l}1 \\ 1 \\ 1\end{array}\right]=\left[\begin{array}{c}1 \\ 4 \\ -5\end{array}\right], \mathbf{A}\left[\begin{array}{l}1 \\ 2 \\ 1\end{array}\right]=\left[\begin{array}{c}0 \\ 4 \\ -8\end{array}\right]\), and \(\operatorname{det}(\operatorname{adj}(2(\mathbf{A}+\mathbf{1})))-2^\alpha 3^\beta 5^\gamma, \alpha, \beta, \gamma \in N\), then \(\alpha^2+\beta^2+\gamma^2\) is ___.JEE Mains 2025 Hard
- If the domain of the function
\(f(x)=\frac{1}{\sqrt{10+3 x-x^2}}+\frac{1}{\sqrt{x+|x|}}\) is \((a, b)\), then \((1+a)^2+b^2\) is equal to :JEE Mains 2025 Easy