1
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

A uniformly charged semicircular arc of radius '$$r$$' has linear charge density $$(\lambda)$$, is the electric field at its centre? ( $$\in_0=$$ permittivity of free space)

A
$$\frac{\lambda}{4 \epsilon_0 r}$$
B
$$\frac{2 \pi \epsilon_0}{\lambda}$$
C
$$\frac{\lambda}{4 \epsilon_0}$$
D
$$\frac{2 \epsilon_0}{\lambda}$$
2
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

A hollow charged metal sphere has radius 'R'. If the potential difference between its surface and a point at a distance '5 R' from the centre is $$\mathrm{V}$$, then magnitude of electric field Intensity at a distance '5R' from the centre of sphere is

A
$$\frac{V}{2 R}$$
B
$$\frac{\mathrm{V}}{20 \mathrm{R}}$$
C
$$10 \mathrm{VR}$$
D
$$20 \mathrm{VR}$$
3
MHT CET 2021 20th September Morning Shift
MCQ (Single Correct Answer)
+1
-0

An electric dipole having dipole moment $$\mathrm{P}=\mathrm{q} \times 2 \ell$$ is placed in a uniform electric field '$$\mathrm{E}$$'. The dipole moment is along the direction of the field. The force acting on it and its potential energy are respectively

A
$$\mathrm{qE}$$ and minimum
B
$$\mathrm{qE}$$ and maximum
C
$$2 \mathrm{qE}$$ and minimum
D
zero and minimum
4
MHT CET 2021 20th September Morning Shift
MCQ (Single Correct Answer)
+1
-0

A uniformly charged half ring of a radius ' $R$ ' has linear charge density '$$\sigma$$'. The electric potential at the centre of the half ring is ( $$\epsilon_0=$$ permittivity of free space)

A
$$\frac{\sigma}{6 \epsilon_0}$$
B
$$\frac{\sigma}{2 \epsilon_0}$$
C
$$\frac{\sigma}{\epsilon_0}$$
D
$$\frac{\sigma}{4 \epsilon_0}$$
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