Assume that a uniform magnetic field is directed into thispage. if an electron is released with an initial velocity directedfrom the bottom edge to the top edge of the page, which of thefollowing describes the direction of the resultant force acting onthe electron?
a. out of the page
b. to the right
c. to the left
d. into the page

B). to the right

Explanation:

Since the direction of magnetic field is into the page

So here we know that

now the velocity is from bottom to top

so we have

now the force on the moving charge is given as

now we have

so force will be towards Right

1) Yes

2)

Explanation:

1)

To solve this part, we have to calculate the pressure at the depth of the batyscaphe, and compare it with the maximum pressure that it can withstand.

The pressure exerted by a column of fluid of height h is:

where

is the atmospheric pressure

is the fluid density

is the acceleration due to gravity

h is the height of the column of fluid

Here we have:

is the sea water density

h = 5440 m is the depth at which the bathyscaphe is located

Therefore, the pressure on it is

Since the maximum pressure it can withstand is 60 MPa, then yes, the bathyscaphe can withstand it.

2)

Here we want to find the force exerted on the bathyscaphe.

The relationship between force and pressure on a surface is:

where

p is hte pressure

F is the force

A is the area of the surface

Here we have:

is the pressure exerted

The bathyscaphe has a spherical surface of radius

r = 3 m

So its surface is:

Therefore, we can find the force exerted on it by re-arranging the previous equation: