Electric Charges and Fields Test

Result

Electric Charges and Fields Test - 87

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Weekly Quiz Competition

Question 1
1 / -0

The electric field in a region is given by $\vec{E}=a\hat{i}+b\hat{j}$ . Here a and b are constants. Find the net flux passing through a square area of side $l$ parallel to y-z plane:

A
$al^{2}$

B
$bl^{2}$

C
Zero

D
$(a+b)l^{2}$

Solution
Question 2
1 / -0

A charge Q is placed at the centre of cube. The electric flux emerging from any one surface of the cube is .

A
$\dfrac { Q }{ { \varepsilon }_{ 0 } }$

B
$\dfrac { Q }{ 2{ \varepsilon }_{ 0 } }$

C
$\dfrac { Q }{ 4{ \varepsilon }_{ 0 } }$

D
$\dfrac { Q }{ 6{ \varepsilon }_{ 0 } }$

Solution
Question 3
1 / -0

Identify the wrong statement in the following. Coulomb's law correctly describes the electric force that

A
Binds the electrons of an atom to its nucleus

B
Binds the protons and neutrons in the nucleus of an atom

C
Binds atoms together to form molecules

D
Binds atoms and molecules together to form solids

Solution
Question 4
1 / -0

Two identical poles each of strength m are placed at two corners of an equilateral triangle of side 1 m. Then the force on another like pole of same strength at the the other corner is

A
$\frac{{3}.m^2}{10^7} N$

B
$\frac{m^2}{\sqrt{3} \times 10^7} N$

C
$\frac{{\sqrt{3} m^2}}{ 10^7} N$

D
$\frac{m^2}{10^7} N$

Solution
Question 5
1 / -0

Given a uniform electric field $E=5\times 10^3\hat{i} \ N/C$ , find the flux of this field through a square of $10\ cm$ on a side whose plane is parallel to the $y-z$ plane. What would be the flux through the square if the plane makes $30^\circ$ angle with the x-axis.

A
$23.3N/Cm^2$

B
$25N/Cm^2$

C
$33.3N/Cm^2$

D
$43.3N/Cm^2$

Solution
Question 6
1 / -0

A hemispherical surface (half of a spherical surface) of radius $R$ is located in a uniform electric field $E$ that is parallel to the hemisphere. What is the magnitude of the electric flux through the hemisphere surface ?

A
$0$

B
$4 \pi R ^ { 2 } E / 3$

C
$2 \pi R ^ { 2 } E$

D
$\pi R ^ { 2 } E$

Solution
Question 7
1 / -0

When a $10\mu C$ charge is enclosed by a closed surface, the flux passing through the surface is $\phi .$ Now another $- 5\mu C$ charge is placed inside the same closed surface, then the flux passing through the surface is__________

A
$2\phi$

B
$\phi /2$

C
$\phi$

D
Zero

Solution
Question 8
1 / -0

The electric flux $\phi$ through a hemisphere surface of radius R, placed in a uniform electric field of intensity E parallel to the axis of its circular plane is:

A
$2 \pi RE$

B
$2 \pi R^2 E$

C
$\pi R^2 E$

D
$\pi R^3 E$

Solution
Question 9
1 / -0

A positive charge $q$ is enclosed by a Gaussian spherical surface of radius ' $a$ ' . If its radius is increased to $4a$ then the net outwards flux will

A
Become four time

B
Become two times

C
Become sixten times

D
Remain same

Solution
Question 10
1 / -0

In the given figure flux through surface $S _ { 1 }$ is $\phi _ { 1 }$ $\&$ through $S _ { 2 }$ is $\phi _ { 2 }.$ Which is correct ?

A
$\phi _ { 1 } = \phi _ { 2 }$

B
$\phi _ { 1 } > \phi _ { 2 }$

C
$\phi _ { 1 } < \phi _ { 2 }$

D
None of these

Solution