Question:
In a region of space having a uniform electric field \( E \), a hemispherical bowl of radius \( r \) is placed. The electric flux \( \Phi \) through the bowl is:
In a region of space having a uniform electric field \( E \), a hemispherical bowl of radius \( r \) is placed. The electric flux \( \Phi \) through the bowl is:
Show Hint
Electric flux through a hemispherical surface can be calculated using \( \Phi = E \cdot A \), where the area of the hemisphere is \( 2 \pi r^2 \).
Updated On: Mar 25, 2026
- \( 2 \pi r^2 E \)
- \( 4 \pi r^2 E \)
- \( 2 r^2 E \)
- \( \pi r^2 E \)
Show Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
Step 1: Electric flux definition.
Electric flux \( \Phi \) through a surface is given by: \[ \Phi = E \cdot A \cos \theta \] where \( E \) is the electric field and \( A \) is the area of the surface.
Step 2: Apply the formula for hemispherical bowl.
For a hemispherical bowl, the surface area is \( A = 2\pi r^2 \). Therefore, the electric flux through the bowl is \( 2 r^2 E \). Thus, the correct answer is (3).
Was this answer helpful?
0
0
Top BITSAT Physics Questions
- Two point charges $-q$ and $+ q$ are located at point's $(0, 0, - a)$ and, $(0, 0, a)$ respectively. The electric potential at a point $(0, 9, z)$, where $z > a$ is
- Which of the following must be known in order to determine the power output of an automobile?
- A large drop of oil (density $0.8 \,g / cm ^{3}$ and viscosity $\eta_{0}$ ) floats up through a column of another liquid (density $1.2\, g / cm ^{3}$ and viscosity $\eta_{L}$ ). Assuming that the two liquids do not mix, the velocity with which the oil drop rises will depend on :
- A body is projected vertically upwards at time $ t = 0$ and it is seen at a height $H$ at time $t_1$ and $t_2$ second during its flight. The maximum height attained is ($g$ is acceleration due to gravity)
- At what point of a projectile motion, acceleration and velocity are perpendicular to each other ?
View More Questions
Top BITSAT Gauss Law Questions
- A point charge $+q$ is placed at the centre of a cube of side $L$. The electric flux emerging from the cube is
- At the corners of an equilateral triangle of side a ( $1$ meter), three point charges are placed (each of $0.1\, C$ ). If this system is supplied energy at the rate of $1\, kw$, then calculate the time required to move one of the mid-point of the line joining the other two.
- A capillary tube of radius $R$ is immersed in water and water rises in it to a height $H$. Mass of water in the capillary tube is $M$. If the radius of the tube is doubled, mass of water that will rise in the capillary tube will now be :
- Two concentric conducting thin spherical shells $A$ and $B$ having radii $r _{ A }$ and $r _{ B }\left( r _{ B }> r _{ A }\right)$ are charged to $Q _{ A }$ and $- Q _{ B }\left(\left| Q _{ B }\right|>\left| Q _{ A }\right|\right)$. The electrical field along a line passing through the centre is
- A charge +q is at a distance L/2 above a square of side L. Then what is the flux linked with the surface?
View More Questions
Top BITSAT Questions
- Two point charges $-q$ and $+ q$ are located at point's $(0, 0, - a)$ and, $(0, 0, a)$ respectively. The electric potential at a point $(0, 9, z)$, where $z > a$ is
- Which of the following must be known in order to determine the power output of an automobile?
- A large drop of oil (density $0.8 \,g / cm ^{3}$ and viscosity $\eta_{0}$ ) floats up through a column of another liquid (density $1.2\, g / cm ^{3}$ and viscosity $\eta_{L}$ ). Assuming that the two liquids do not mix, the velocity with which the oil drop rises will depend on :
- A body is projected vertically upwards at time $ t = 0$ and it is seen at a height $H$ at time $t_1$ and $t_2$ second during its flight. The maximum height attained is ($g$ is acceleration due to gravity)
- At what point of a projectile motion, acceleration and velocity are perpendicular to each other ?
View More Questions