Question:
In a vernier calipers 50 VSD are equal to 48 MSD. 1 MSD is equal to $0.05$ mm. Find least count of this vernier calipers.
In a vernier calipers 50 VSD are equal to 48 MSD. 1 MSD is equal to $0.05$ mm. Find least count of this vernier calipers.
Show Hint
Least count equals difference between one main scale division and one vernier scale division.
Updated On: Jan 28, 2026
- $0.005$ mm
- $0.004$ mm
- $0.001$ mm
- $0.002$ mm
Hide Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
Step 1: Relation between VSD and MSD.
\[ 1 \text{ VSD} = \dfrac{48}{50} \text{ MSD} \]
Step 2: Least count formula.
\[ LC = 1 \text{ MSD} - 1 \text{ VSD} \]
Step 3: Substituting values.
\[ LC = 1 \text{ MSD} - \dfrac{48}{50} \text{ MSD} = \dfrac{2}{50} \text{ MSD} \]
\[ LC = \dfrac{2}{50} \times 0.05 = 0.002 \text{ mm} \]
\[ 1 \text{ VSD} = \dfrac{48}{50} \text{ MSD} \]
Step 2: Least count formula.
\[ LC = 1 \text{ MSD} - 1 \text{ VSD} \]
Step 3: Substituting values.
\[ LC = 1 \text{ MSD} - \dfrac{48}{50} \text{ MSD} = \dfrac{2}{50} \text{ MSD} \]
\[ LC = \dfrac{2}{50} \times 0.05 = 0.002 \text{ mm} \]
Was this answer helpful?
0
0
Top Questions on Electrical Circuits
- State whether the above chemical reaction is balanced or not. From the number of atoms present in the reactants and products, fill in the blanks:
- Maharashtra Class X Board - 2026
- Science and Technology
- Electrical Circuits
Two p-n junction diodes \(D_1\) and \(D_2\) are connected as shown in the figure. \(A\) and \(B\) are input signals and \(C\) is the output. The given circuit will function as a _______.
- JEE Main - 2026
- Physics
- Electrical Circuits
- How many flip-flops are required to design a MOD-10 counter?
- GATE IN - 2026
- Electrical Circuits
- Electrical Circuits
In the given circuit, the potential difference across the plates of the capacitor \( C \) in steady state is
- AP EAPCET - 2025
- Physics
- Electrical Circuits
Two batteries of emf's \(3V \& 6V\) and internal resistances 0.2 Ω \(\&\) 0.4 Ω are connected in parallel. This combination is connected to a 4 Ω resistor. Find:
(i) the equivalent emf of the combination
(ii) the equivalent internal resistance of the combination
(iii) the current drawn from the combination- CBSE CLASS XII - 2025
- Physics
- Electrical Circuits
View More Questions
Questions Asked in JEE Main exam
- Let \( \vec{a}, \vec{b}, \vec{c} \) be three vectors such that \[ \vec{a} \times \vec{b} = 2(\vec{a} \times \vec{c}). \] If \( |\vec{a}| = 1 \), \( |\vec{b}| = 4 \), \( |\vec{c}| = 2 \), and the angle between \( \vec{b} \) and \( \vec{c} \) is \(60^\circ\), then \( |\vec{a} \cdot \vec{c}| \) is equal to.
- JEE Main - 2026
- Vector Algebra
- A thin convex lens of focal length \( 5 \) cm and a thin concave lens of focal length \( 4 \) cm are combined together (without any gap), and this combination has magnification \( m_1 \) when an object is placed \( 10 \) cm before the convex lens.
Keeping the positions of the convex lens and the object undisturbed, a gap of \( 1 \) cm is introduced between the lenses by moving the concave lens away. This leads to a change in magnification of the total lens system to \( m_2 \).
The value of \( \dfrac{m_1}{m_2} \) is
- For the matrices \( A = \begin{bmatrix} 3 & -4 \\ 1 & -1 \end{bmatrix} \) and \( B = \begin{bmatrix} -29 & 49 \\ -13 & 18 \end{bmatrix} \), if \( (A^{15} + B) \begin{bmatrix} x \\ y \end{bmatrix} = \begin{bmatrix} 0\\ 0 \end{bmatrix} \), then among the following which one is true?}
- JEE Main - 2026
- Matrices
- A collimated beam of light of diameter 2 mm is propagating along the x-axis. The beam is required to be expanded into a collimated beam of diameter 14 mm using a system of two convex lenses. If the first lens has focal length 40 mm, then the focal length of the second lens is_____ mm.
- JEE Main - 2026
- Ray optics and optical instruments
- In a microscope, the objective has a focal length \(f_o=2\) cm and the eye-piece has a focal length \(f_e=4\) cm. The tube length is 32 cm. The magnification produced by this microscope for normal adjustment is_____.
- JEE Main - 2026
- Ray optics and optical instruments
View More Questions