JEE Main 2024 (Online) 8th April Evening Shift | Units & Measurements Question 4 | Physics

If $$\epsilon_{\mathrm{o}}$$ is the permittivity of free space and $$\mathrm{E}$$ is the electric field, then $$\epsilon_{\mathrm{o}} \mathrm{E}^2$$ has the dimensions :

$$[\mathrm{M} \mathrm{L}^{-1} \mathrm{~T}^{-2}]$$

$$[\mathrm{M} \mathrm{L}^2 \mathrm{~T}^{-2}]$$

$$[\mathrm{M}^{\mathrm{0}} \mathrm{L}^{-2} \mathrm{TA}]$$

$$[\mathrm{M}^{-1} \mathrm{~L}^{-3} \mathrm{~T}^4 \mathrm{~A}^2]$$

JEE Main 2024 (Online) 8th April Evening Shift

MCQ (Single Correct Answer)

-1

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 that 4 linear scale divisions are clearly visible while 60 divisions on circular scale coincide with the reference line. The diameter of the wire is :

4.65 mm

4.60 mm

4.55 mm

3.35 mm

JEE Main 2024 (Online) 8th April Evening Shift

MCQ (Single Correct Answer)

-1

Least count of a vernier caliper is $$\frac{1}{20 \mathrm{~N}} \mathrm{~cm}$$. The value of one division on the main scale is $$1 \mathrm{~mm}$$. Then the number of divisions of main scale that coincide with $$\mathrm{N}$$ divisions of vernier scale is :

$$\left(\frac{2 \mathrm{~N}-1}{2 \mathrm{~N}}\right)$$

$$\left(\frac{2 \mathrm{~N}-1}{20 \mathrm{~N}}\right)$$

$$(2 \mathrm{~N}-1)$$

$$\left(\frac{2 \mathrm{~N}-1}{2}\right)$$

JEE Main 2024 (Online) 8th April Morning Shift

MCQ (Single Correct Answer)

-1

In an expression $$a \times 10^b$$ :

$$a$$ is order of magnitude for $$b \leq 5$$

$$b$$ is order of magnitude for $$a \leq 5$$

$$b$$ is order of magnitude for $$a \geq 5$$

$$b$$ is order of magnitude for $$5< a \leq 10$$