JEE Mains · Physics · STD 11 - 1. units,dimensions and measurement
There are \(100\) divisions on the circular scale of a screw gauge of pitch \(1 \mathrm{~mm}\). With no measuring quantity in between the jaws, the zero of the circular scale lies \(5\) divisions below the reference line. The diameter of a wire is then measured using this screw gauge. It is found the \(4\) linear scale divisions are clearly visible while \(60\) divisions on circular scale coincide with the reference line. The diameter of the wire is _______.
- A \(4.65 \mathrm{~mm}\)
- B \(4.55 \mathrm{~mm}\)
- C \(4.60 \mathrm{~mm}\)
- D \(3.35 \mathrm{~mm}\)
Answer & Solution
Correct Answer
(B) \(4.55 \mathrm{~mm}\)
Step-by-step Solution
Detailed explanation
\(\text { Least count }=\frac{1}{100} \mathrm{~mm}=0.01 \mathrm{~mm}\) \(\text { zero error }=+0.05 \mathrm{~mm}\) \(\text { Reading }=4 \times 1 \mathrm{~mm}+60 \times 0.01 \mathrm{~mm}-0.05 \mathrm{~mm}\) \(=4.55 \mathrm{~mm}\)
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 prism of angle \(6^{\circ}\) and refractive index for yellow light \(\left(n_{Y}\right) 1.5\) is combined with another prism of angle \(5^{\circ}\) and \(n _{ Y }=1.55\). The combination produces no dispersion. The net average deviation ( \(\delta\) ) produced by the combination is \(\left(\frac{1}{x}\right)^{\circ}\). The value of \(x\) is.......
JEE Mains 2022 Medium - Match List\(-I\) with List\(-II\)
Choose the most appropriate answer from the options given below:List\(-I\) List\(-II\) \((a)\) Phase difference between current and voltage in a purely resistive \(AC\) circuit \((i)\) \(\frac{\pi}{2} ;\) current leads voltage \((b)\) Phase difference between current and voltage in a pure inductive \(AC\) circuit \((ii)\) zero \((c)\) Phase difference between current and voltage in a pure capacitive \(AC\) circuit \((iii)\) \(\frac{\pi}{2} ;\) current lags voltage \((d)\) Phase difference between current and voltage in an \(LCR\) series circuit \((iv)\) \(\tan ^{-1}\left(\frac{X_{C}-X_{L}}{R}\right)\) JEE Mains 2021 Medium - Given below are two statements. Statement \(I\) : Electric potential is constant within and at the surface of each conductor. Statement \(II\) : Electric field just outside a charged conductor is perpendicular to the surface of the conductor at every point. In the light of the above statements, choose the most appropriate answer from the options give below.JEE Mains 2022 Medium
- Two bodies are projected from ground with same speeds \(40 ms ^{-1}\) at two different angles with respect to horizontal. The bodies were found to have same range. If one of the body was projected at an angle of \(60^{\circ}\), with horizontal then sum of the maximum heights, attained by the two projectiles, is \(.......m\). (Given \(g =10 ms ^{-2}\) )JEE Mains 2023 Medium
- A \(10\, \Omega, 20 \; mH\) coil carrying constant current is connected to a battery of \(20 \; V\) through a switch is opened current becomes zero in \(100 \; \mu s\). The average emf induced in the coil is \(\dots \; V\).JEE Mains 2022 Medium
- The motion of a simple pendulum excuting \(S.H.M\). is represented by following equation. \(Y = A \sin (\pi t +\phi)\), where time is measured in \(second\). The length of pendulum is .............\(cm\)JEE Mains 2022 Medium
More PYQs from JEE Mains
- A series \(L-R\) circuit is connected to a battery of emf \(V\). If the circuit is switched on at \(t =0\), then the time at which the energy stored in the inductor reaches \(\left(\frac{1}{n}\right)\) times of its maximum value, isJEE Mains 2020 Hard
- Two simple harmonic motions, as shown, are at right angles. They are combined to form Lissajous figures \(x\left( t \right) = A\,\sin \,\left( {at + \delta } \right)\) \(y\left( t \right) = B\,\sin \,\left( {bt} \right)\) Identify the correct match belowJEE Mains 2018 Hard
- An insulated wire is wound so that it forms a flat coil with \(N = 200\) turns. The radius of the innermost turn is \(r_1 = 3\) cm, and of the outermost turn \(r_2 = 6\) cm. If \(20\) mA current flows in it then the magnetic moment will be \(\alpha \times 10^{-2}\) A.m\(^2\). The value of \(\alpha\) is _____.JEE Mains 2026 Medium
- For a series \(LCR\) circuit, \(I\) vs \(\omega\) curve is shown \((A)\) To the left of \(\omega_{r}\), the circuit is mainly capacitive. \((B)\) To the left of \(\omega_{r}\), the circuit is mainly inductive. \((C)\) At \(\omega_{r}\), impedance of the circuit is equal to the resistance of the circuit. \((D)\) At \(\omega_{t}\), impedance of the circuit is \(0\). Choose the most appropriate answer from the options given below
JEE Mains 2022 Hard - A pack of cards has one card missing. Two cards are drawn randomly and are found to be spades. The probability that the missing card is not a spade, isJEE Mains 2021 Medium
- Let the image of the point \(P (1,2,6)\) in the plane passing through the points \(A (1,2,0), B (1,4,1)\) and \(C(0,5,1)\) be \(Q(\alpha, \beta, \gamma)\). Then \(\left(\alpha^2+\beta^2+\gamma^2\right)\) is equal to :JEE Mains 2023 Hard