JEE Mains · Physics · STD 11 - 1. units,dimensions and measurement
The pitch and the number of divisions, on the circular scale, for a given screw gauge are \(0.5\,mm\) and \(100\) respectively. When the screw gauge is fully tightened without any object, the zero of its circular scale lies \(3\) divisions below the mean line. The readings of the main scale and the circular scale for a thin sheet, are \(5.5\,mm\) and \(48\) respectively, the thickness of this sheet is
- A \(5.755\,mm\)
- B \(5.950\,mm\)
- C \(5.725\,mm\)
- D \(5.740\,mm\)
Answer & Solution
Correct Answer
(C) \(5.725\,mm\)
Step-by-step Solution
Detailed explanation
\(L C=\frac{P i t c h}{\text {No.ofdivision}}\) \(L C=0.5 \times 10^{-2} mm\) +ve error \(=3 \times 0.5 \times 10^{-2} mm\) \(=1.5 \times 10^{-2} mm =0.015 mm\) Reading \(= MSR + CSR -(+\text { ve error })\) \(=5.5 m m+\left(48 \times 0.5 \times 10^{-2}\right)-0.015\)…
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
- Assuming in forward bias condition there is a voltage drop of 0.7 V across a silicon diode, the current through diode \(D _1\) in the circuit is ___________mA . (Assume all diodes in the given circuit are identical)
JEE Mains 2026 Hard - Two coherent sources of sound, \(S_{1}\) and \(S_{2}\) produce sound waves of the same wavelength, \(\lambda=1\, m ,\) in phase. \(S_{1}\) and \(S_{2}\) are placed \(1.5\, m\) apart (see fig.) A listener, located at \(L,\) directly in front of \(S_{2}\) finds that the intensity is at a minimum when he is \(2\,m\) away from \(S _{2}\). The listener moves away from \(S _{1},\) keeping his distance from \(S_{2}\) fixed. The adjacent maximum of intensity is observed when the listener is at a distance \(d\) from \(S\)\(_{1}\). Then, \(d\) is\(......m\)
JEE Mains 2020 Hard - From the given data, the amount of energy required to break the nucleus of aluminium \({ }_{13}^{27} {Al}\) is \(....\,x \times 10^{-3} {J}\) Mass of neutron \(=1.00866 \,{u}\) Mass of proton \(=1.00726 \,{u}\) Mass of aluminium nucleus \(=27.18846\, {u}\) (Assume \(1\,u\) corresponds to \(x\,J\) of energy) (Round off to the nearest integer)JEE Mains 2021 Medium
- A \(220 \; V , 50 \; Hz\) AC source is connected to a \(25 \; V\), \(5 \; W\) lamp and an additional resistance \(R\) in series (as shown in figure) to run the lamp at its peak brightness, then the value of \(R\) (in ohm) will be
JEE Mains 2022 Medium - At a given instant, say \(t = 0,\) two radioactive substances \(A\) and \(B\) have equal activates. The ratio \(\frac{{{R_B}}}{{{R_A}}}\) of their activities. The ratio \(\frac{{{R_B}}}{{{R_A}}}\) of their activates after time \(t\) itself decays with time \(t\) as \(e^{-3t}.\) If the half-life of \(A\) is \(ln2,\) the half-life of \(B\) isJEE Mains 2019 Hard
- An electron, a doubly ionized helium ion \(\left( He ^{++}\right)\) and a proton are having the same kinetic energy. The relation between their respective de\(-\)Broglie wavelengths \(\lambda_{ e }, \lambda_{ He ^{++}}\) and \(\lambda_{ P }\) isJEE Mains 2020 Medium
More PYQs from JEE Mains
- The solid cylinder of length \(80\, {cm}\) and mass \({M}\) has a radius of \(20\, {cm}\). Calculate the density of the material used if the moment of inertia of the cylinder about an axis \(CD\) parallel to \({AB}\) as shown in figure is \(2.7\, {kg} {m}^{2}\)
JEE Mains 2021 Hard - If \(z_1, z_2\) are two distinct complex number such that \(\left|\frac{z_1-2 z_2}{\frac{1}{2}-z_1 \bar{z}_2}\right|=2\), thenJEE Mains 2024 Hard
- For \(z \in C\) if the minimum value of \((|z-3 \sqrt{2}|+|z-p \sqrt{2} i|)\) is \(5 \sqrt{2}\), then a value of \(P\) is \(.......\)JEE Mains 2022 Medium
- A particle executes simple harmonic motion with an amplitude of \(4 \mathrm{~cm}\). At the mean position, velocity of the particle is \(10 \mathrm{~cm} / \mathrm{s}\). The distance of the particle from the mean position when its speed becomes \(5 \mathrm{~cm} / \mathrm{s}\) is \(\sqrt{\alpha} \mathrm{cm}\), where \(\alpha=\)____________.JEE Mains 2024 Hard
- If \(f( x + y )=f( x ) f( y )\) and \(\sum \limits_{ x =1}^{\infty} f( x )=2, x , y \in N\) where \(N\) is the set of all natural numbers, then the value of \(\frac{f(4)}{f(2)}\) isJEE Mains 2020 Hard
- If a rectangle is inscribed in an equilateral triangle of side length \(2 \sqrt{2}\) as shown in the figure, then the square of the largest area of such a rectangle is \(....\)
JEE Mains 2021 Hard