1
COMEDK 2023 Evening Shift
MCQ (Single Correct Answer)
+1
-0

Two point charges $$20 \mu \mathrm{C}$$ and $$-10 \mu \mathrm{C}$$ are separated by a distance of $$1 \mathrm{~m}$$ in air. At what point on the line joining the two charges, the electric potential is zero.

A
$$0.5 \mathrm{~m}$$ from the charge $$10 \mu \mathrm{C}$$
B
$$0.76 \mathrm{~m}$$ from the charge $$20 \mu \mathrm{C}$$
C
$$0.67 \mathrm{~m}$$ from the charge $$20 \mu \mathrm{C}$$
D
$$0.25 \mathrm{~m}$$ from the charge $$10 \mu \mathrm{C}$$
2
COMEDK 2023 Evening Shift
MCQ (Single Correct Answer)
+1
-0

A spherical metal ball of density '$$\rho$$' and radius '$$r$$' is immersed in a liquid of density '$$\sigma$$'. When an electric field is applied in the upward direction the metal ball remains just suspended in the liquid. Then the expression for the charge on the metal ball is :

A
$$q=\frac{\left[\frac{4}{3} \pi r^3 \rho g\right]}{\sigma E}$$
B
$$q=\frac{\left[4 \pi r^3(\rho-\sigma) g\right]}{3 E}$$
C
$$q=\frac{\left[4 \pi r^2 \rho g\right]}{\sigma E}$$
D
$$q=\frac{\left[4 \pi r^2(\rho-\sigma) g\right]}{E}$$
3
COMEDK 2023 Evening Shift
MCQ (Single Correct Answer)
+1
-0

PQRS is square of side $$1 \mathrm{~m}$$. A charge of $$100 \mu \mathrm{C}$$ is placed at the centre of the square. Then the work done to take $$3 \mu \mathrm{C}$$ charge from the corner $$\mathrm{P}$$ to the corner $$\mathrm{R}$$.

A
$$9 \sqrt{2} \times 10^5 \mathrm{~J}$$
B
$$4.5 \times 10^5 \mathrm{~J}$$
C
Zero
D
$$1.8 \times 10^5 \mathrm{~J}$$
4
COMEDK 2023 Evening Shift
MCQ (Single Correct Answer)
+1
-0

An electron and a proton having mass $$m_e$$ and $$m_p$$ respectively, initially at rest, move through the same distance '$$s$$' in a uniform electric field '$$E$$'. If the time taken by them to cover that distance is $$t_e$$ and $$t_p$$ respectively, then $$t_e / t_p$$ is equal to:

A
$$ \sqrt{\left(\frac{m_p}{m_e}\right)} $$
B
$$ \sqrt{\left(\frac{m_e}{m_p}\right)} $$
C
$$ \frac{\sqrt{\left(m_e\right)}}{m_p} $$
D
$$ \frac{m_e}{m_p} $$
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