1
MHT CET 2021 23th September Morning Shift
+1
-0

A charged spherical conductor has radius '$$r$$'. The potential difference between its surface and 3 point at a distance '$$3 r$$' from the centre is '$$v$$' The electric intensity at a distance '$$3 r$$' from the centre of the conductor is

A
$$\frac{v}{8 r}$$
B
$$\frac{v}{2 r}$$
C
$$\frac{v}{4 r}$$
D
$$\frac{v}{6 r}$$
2
MHT CET 2021 22th September Evening Shift
+1
-0

Two spherical conductors of radii $$4 \mathrm{~cm}$$ and $$5 \mathrm{~cm}$$ are charged to the same potential. If '$$\sigma_1$$' and '$$\sigma_2$$' be the respective values of the surface density of charge on the two conductors then the ratio $$\sigma_1: \sigma_2$$ is

A
$$5: 4$$
B
$$3: 2$$
C
$$4: 3$$
D
$$2: 1$$
3
MHT CET 2021 22th September Evening Shift
+1
-0

An electron of mass '$$m$$' and charge '$$q$$' is accelerated from rest in a uniform electric field of strength '$$E$$'. The velocity acquired by the electron when it travels a distance '$$L$$' is

A
$$\sqrt{\frac{2 \mathrm{qE}}{\mathrm{mL}}}$$
B
$$\sqrt{\frac{2 \mathrm{Em}}{\mathrm{qL}}}$$
C
$$\sqrt{\frac{2 \mathrm{qEL}}{\mathrm{m}}}$$
D
$$\times \sqrt{\frac{\mathrm{qE}}{\mathrm{mL}}}$$
4
MHT CET 2021 22th September Evening Shift
+1
-0

Two particles $$A$$ and $$B$$ having same mass have charge $$+q$$ and $$+4 q$$ respectively. When they are allowed to fall from rest through same electric potential difference, the ratio of their speeds '$$V_A$$' to '$$\mathrm{V}_{\mathrm{B}}$$' will become

A
$$1: 2$$
B
$$2: 1$$
C
$$1: 4$$
D
$$4: 1$$
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