1
MHT CET 2023 9th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

The charges $$2 \mathrm{q},-\mathrm{q},-\mathrm{q}$$ are located at the vertices of an equilateral triangle. At the circumference of the triangle

A
the field is zero but potential is not zero.
B
the field is non-zero but the potential is zero.
C
both, field and potential are zero.
D
both. field and potential are non-zero.
2
MHT CET 2023 9th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

A solid metallic sphere has a charge $$+3 Q$$. Concentric with this sphere is a conducting spherical shell having charge $$-\mathrm{Q}$$. The radius of the sphere is '$$A$$' and that of the spherical shell is '$$B$$'. $$(B > A)$$. The electric field at a distance '$$\mathrm{R}$$' $$(\mathrm{A} < \mathrm{R} < \mathrm{B})$$ from the centre is ( $$\varepsilon_0=$$ permittivity of vacuum)

A
$$\frac{\mathrm{Q}}{2 \pi \varepsilon_0 \mathrm{R}}$$
B
$$\frac{3 Q}{2 \pi \varepsilon_0 R}$$
C
$$\frac{3 \mathrm{Q}}{4 \pi \varepsilon_0 \mathrm{R}^2}$$
D
$$\frac{4 Q}{2 \pi \varepsilon_0 R^2}$$
3
MHT CET 2021 21th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

When a piece of polythene is rubbed with wool, a negative charge of $$4 \times 10^{-7} \mathrm{C}$$ is developed on the polythene. The number of electrons transferred from wool to polythene is $$[e=1.6 \times\left.10^{-19} \mathrm{C}\right]$$

A
$$1.5 \times 10^{12}$$
B
$$3.5 \times 10^{13}$$
C
$$2.5 \times 10^{13}$$
D
$$2.5 \times 10^{12}$$
4
MHT CET 2021 21th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

A hollow metal sphere has a radius 'r'. The potential difference between a point on its surface and at a point at a distance '3r' from its centre is 'V'. The electric intensity at the distance '3r' from the centre of the sphere will be :

A
$$\mathrm{\frac{V}{3r}}$$
B
3Vr
C
$$\mathrm{\frac{V}{r}}$$
D
$$\mathrm{\frac{V}{6r}}$$
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