enEnglishguગુજરાતી
JEE Mains · Physics · STD 11 - 1. units,dimensions and measurement
If the screw on a screw-gauge is given six rotations, it moves by \(3\; \mathrm{mm}\) on the main scale. If there are \(50\) divisions on the circular scale the least count of the screw gauge is
- A \(0.001\; mm\)
- B \(0.001\; cm\)
- C \(0.02\; mm\)
- D \(0.01\; cm\)
Answer & Solution
Correct Answer
(B) \(0.001\; cm\)
Step-by-step Solution
Detailed explanation
On six rotation, reading of main scale changes by \(3 \mathrm{mm} .\) 1 rotation corresponds to \(\frac{1}{2} \mathrm{mm}\) Also no. of division on circular scale \(=50 .\) Least count of the screw gauge will be \(\frac{0.5}{50} \mathrm{mm}=0.001 \mathrm{cm}\)
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 thin bar of length \(L\) has a mass per unit length \(\lambda \), that increases linearly with distance from one end. If its total mass is \(M\) and its mass per unit length at the lighter end is \(\lambda_0\), then the distance of the centre of mass from the lighter end isJEE Mains 2014 Hard
- A guitar string of length \(90\,cm\) vibrates with a fundamental frequency of \(120\,Hz.\) The length of the string producing a fundamental frequency of \(180\,Hz\) will be \(...........cm\).JEE Mains 2023 Easy
- A ring and a solid sphere roll down the same inclined plane without slipping. They start from rest. The radii of both bodies are identical and the ratio of their kinetic energies is \(\frac{7}{\mathrm{x}}\) where \(\mathrm{x}\) is___________.JEE Mains 2024 Hard
-

Space between the plates of a parallel plate capacitor of plate area \(4 \mathrm{~cm}^2\) and separation of (d) 1.77 mm, is filled with uniform dielectric materials with dielectric constants (3 and 5) as shown in figure. Another capacitor of capacitance 7.5 pF is connected in parallel with it. The effective capacitance of this combination is ________ pF. \(\left(\right.\) Given \(\left.\varepsilon_0=8.85 \times 10^{-12} \mathrm{~F} / \mathrm{m}\right)\)JEE Mains 2025 Hard - In a series \(LCR\) resonant circuit, the quality factor is measured as \(100\) If the inductance is increased by two fold and resistance is decreased by two fold, then the quality factor after this change will be .........JEE Mains 2021 Hard
- The figure represents a voltage regulator circuit using a Zener diode. The breakdown voltage of the Zener diode is \(6\,V\) and the load resistance is \(R_L= 4\,k\Omega .\) The series resistance of the circuit is \(R_i = 1\,k\Omega .\) If the battery voltage \(V_B\) varies from \(8\,V\) to \(16\,V,\) what are the minimum and maximum values of the current through Zener diode?
JEE Mains 2019 Hard
More PYQs from JEE Mains
- If \(a=\lim _{x \rightarrow 0} \frac{\sqrt{1+\sqrt{1+x^4}}-\sqrt{2}}{x^4}\) and \(b=\lim _{x \rightarrow 0} \) \(\frac{\sin ^2 x}{\sqrt{2}-\sqrt{1+\cos x}}\), then the value of \(a b^3\) isJEE Mains 2024 Hard
- Under steady state condition the potential difference across the capacitor in the circuit is _______ V.
JEE Mains 2026 Medium - \(\mathop {\lim }\limits_{x \to 0} \frac{{{{\left( {1 - \cos \,2x} \right)}^2}}}{{2x\,\tan \,x - x\,\tan \,2x}}\) isJEE Mains 2016 Hard
- Let \( y=y(x) \) be a differentiable function in the interval \( (0, \infty) \) such that \( y(1)=2 \) and \( \lim_{t\rightarrow x}(\frac{t^{2}y(x)-x^{2}y(t)}{x-t})=3 \) for each \( x>0. \) Then \( 2y(2) \) is equal toJEE Mains 2026 Easy
- Let \(\mathrm{y}=\mathrm{y}(\mathrm{x})\) be a solution curve of the differential equation \((y+1) \tan ^{2} x d x+\tan x d y+y d x=0\) \(x \in\left(0, \frac{\pi}{2}\right)\). If \(\lim _{x \rightarrow 0+} x y(x)=1\), then the value of \(\mathrm{y}\left(\frac{\pi}{4}\right)\) is :JEE Mains 2021 Hard
- Given below are two statements :
Statement-I : A plane wave after passing through prism remains as plane wave but passing through small pin hole may become spherical wave.
Statement-II : The curvature of a spherical wave emerging from a slit will increase for increasing slit width.
In the light of the above statements, choose the correct answer from the options given below.JEE Mains 2026 Hard