MHT CET 2023 13th May Morning Shift | Electrostatics Question 54 | Physics

If the magnitude of intensity of electric field at a distance '$$r_1$$' on an axial line and at a distance '$$r_2$$' on an equatorial line due to a given short dipole are equal, then $$r_1: r_2$$, is

$$\sqrt[3]{2}: 1$$

$$\sqrt{2}: 1$$

$$1: 2$$

$$1: \sqrt[3]{2}$$

MHT CET 2023 13th May Morning Shift

MCQ (Single Correct Answer)

-0

Three charges each of value $$+q$$ are placed at the corners of an isosceles triangle $$\mathrm{ABC}$$ of sides $$\mathrm{AB}$$ and $$\mathrm{AC}$$ each equal to $$2 \mathrm{a}$$. The mid points of $$A B$$ and $$A C$$ are $$D$$ and $$E$$ respectively. The work done in taking a charge $$Q$$ from $$D$$ to $$E$$ is ( $$\varepsilon_0=$$ permittivity of free space)

Zero

$$\frac{3 q \mathrm{Q}}{4 \pi \varepsilon_0 \mathrm{a}}$$

$$\frac{\mathrm{qQ}}{8 \pi \varepsilon_0 \mathrm{a}}$$

$$\frac{3 \mathrm{qQ}}{8 \pi \varepsilon_0 \mathrm{a}}$$

MHT CET 2023 12th May Evening Shift

MCQ (Single Correct Answer)

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Select the correct statement from the following.

Gravitational force is stronger than electrostatic force

Gravitational as well as electrostatic force always attractive.

Gravitational as well as electrostatic force always act along the line joining the two objects.

Inverse square law $$\left(\mathrm{F} \propto \frac{1}{\mathrm{r}^2}\right)$$ is not obeyed by electrostatic force.

MHT CET 2023 12th May Evening Shift

MCQ (Single Correct Answer)

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Two point charges '$$q 1$$' and '$$q 2$$' are separated by a distance '$$d$$'. What is the increase in potential energy of the system when '$$q 2$$' is moved towards '$$q 1$$' by a distance '$$\mathrm{x}$$' ? $$(x < d)(\frac{1}{4 \pi \varepsilon_0}=K$$, constant)

$$-\frac{K q_1 q_2 x}{d(d-x)}$$

$$-\frac{K q_1 q_2}{d(d-x)}$$

$$\frac{\mathrm{Kq}_1 \mathrm{q}_{2 x}}{\left(\mathrm{~d}^2-\mathrm{x}^2\right)}$$

$$\frac{\mathrm{Kq}_1 \mathrm{q}_2 \mathrm{x}}{\left(\mathrm{d}^2-\mathrm{x}^2\right)}$$

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