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
JEE MAIN 2019, Diffcult
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1The radius of a disc is $1.2\; cm$. Its area according to the concept of significant figures will be given byView Solution
- 2The diameter of a wire is measured with a screw gauge having least count $0.01\;mm$. Which of the following correctly expresses the diameter?View Solution
- 3In a vernier calliper, when both jaws touch each other, zero of the vernier scale shifts towards left and its $4^{\text {th }}$ division coincides exactly with a certain division on main scale. If $50$ vernier scale divisions equal to $49$ main scale divisions and zero error in the instrument is $0.04 \mathrm{~mm}$ then how many main scale divisions are there in $1 \mathrm{~cm}$ ?View Solution
- 4In a system of units if force $(F)$, acceleration $(A) $ and time $(T)$ are taken as fundamental units then the dimensional formula of energy isView Solution
- 5If $A$ and $B$ are two physical quantities having different dimensions then which of the following can't denote a physical quantity?View Solution
- 6View SolutionIdentify the pair of physical quantities that have same dimensions
- 7Match List $I$ with List $II$ :View Solution
List $I$ (Physical Quantity) List $II$ (Dimensional Formula) $(A)$ Pressure gradient $(I)$ $\left[ M ^0 L ^2 T ^{-2}\right]$ $(B)$ Energy density $(II)$ $\left[ M ^1 L ^{-1} T ^{-2}\right]$ $(C)$ Electric Field $(III)$ $\left[ M ^1 L ^{-2} T ^{-2}\right]$ $(D)$ Latent heat $(IV)$ $\left[ M ^1 L ^1 T ^{-3} A ^{-1}\right]$ Choose the correct answer from the options given below:
- 8An optical bench has $1.5 m$ long scale having four equal divisions in each $cm$. While measuring the focal length of a convex lens, the lens is kept at $75 cm$ mark of the scale and the object pin is kept at $45 cm$ mark. The image of the object pin on the other side of the lens overlaps with image pin that is kept at $135 cm$ mark. In this experiment, the percentage error in the measurement of the focal length of the lens is. . . . .View Solution
- 9Turpentine oil is flowing through a tube of length $l$ and radius $r$. The pressure difference between the two ends of the tube is $P .$ The viscosity of oil is given by $\eta=\frac{P\left(r^{2}-x^{2}\right)}{4 v l}$ where $v$ is the velocity of oil at a distance $x$ from the axis of the tube. The dimensions of $\eta$ areView Solution
- 10Two full turns of the circular scale of screw gauge cover a distance of $1\,mm$ on scale. The total number of divisions on circular scale is $50$. Further, it is found that screw gauge has a zero error of $+0.03\,mm$. While measuring the diameter of a thin wire a student notes the main scale reading of $3\,mm$ and the number of circular scale division in line, with the main scale is $35$. The diameter of the wire is .......... $mm$View Solution