Home
Class 12
PHYSICS
A solid sphere having radius R and unifo...

A solid sphere having radius R and uniform charge density `rho` has a cavity of radius `R/2` as shown in figure.Find the value of `|E_A /E_B|`

A

`18/19`

B

`11/17`

C

`9/17`

D

`9/19`

Text Solution

Verified by Experts

The correct Answer is:
C
NA
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise PHYSICS SECTION B|30 Videos

Similar Questions

Explore conceptually related problems

A solid sphere having radius R and uniform charge density rho has a cavity of radius R/2 as shown in figure then the value of |(E_(A)/(E_(B)))| = (m)/(17) .Find the value of m

A thick shell with inner radius R and outer radius 3R has a uniform charge density rho.It has a spherical cavity of radius R as shown in figure.The electric field at the centre of the cavity is (n rho R)/(12 varepsilon_(0)) . Find n.

Knowledge Check

  • A solid non-conducting sphere of radius R is charged with a uniform volume charge density rho . Inside the sphere a cavity of radius r is made as shown in the figure. The distance between the centres of the sphere and the cavity is a. An electron of charge 'e' and mass 'm' is kept at point P inside the cavity at angle theta = 45^(@) as shown. If at t = 0 this electron is released from point P, calculate the time it will take to touch the sphere on inner wall of cavity again.

    A
    `sqrt((3Rm epsilon_(0)r)/(e rho a))`
    B
    `sqrt((6m epsilon_(0)r)/(e rho a))`
    C
    `sqrt((6sqrt(3) m epsilon_(0)R)/(e rho a))`
    D
    `sqrt((6sqrt(2)m epsilon_(0)r)/(e rho a))`

    • Similar Questions

    Explore conceptually related problems

    An infinitely long solid cylinder of radius R has a uniform volume charge density rho . It has a spherical cavity of radius R//2 with its centre on the axis of cylinder, as shown in the figure. The magnitude of the electic field at the point P , which is at a distance 2 R form the axis of the cylinder, is given by the expression ( 23 r R)/( 16 k e_0) . The value of k is . .

    A sphere of radius 2R and mas M has a spherical cavity of radius R as shown in the figure. Find the value of gravitational field at a point P at a distance of 6R from centre of the sphere.

    A fixed sphere of radius R and uniform density rho has a spherical cavity of radius R//2 such that the surface of the cavity passes through the centre of the sphere. A particle of mass m is located at the centre (A) of the velocity. Calculated (a) The gravitational field at A . (b) The velocity with which the particle strikes the centre O of the sphere. (Neglect earth's gravity)

    A non conducting solid sphere of mass m and radius R having uniform charge density +rho and -rho as shown in figure. It is then placed on a rough non conducting horizontal plane. At t=0 a uniform electric field vecE=E_(0)hati N//C is switched on and the solid sphere starts rolling with sliding. The magnitude of frictional force at t=0 is (2rhopiR^(3)E_(0))/K . Find the value of K

    An infinitely long solid cylinder of radius R has a uriform volume charge density rho . It has a spherical cavity of radius R / 2 with its centre on the axis of the cylinder, as shown in the figure. The magnitude of the clectric field at the point P, which at a distance 2 R (from the axis of the cylinder, is given by the expression (23 rho R)/(16 n varepsilon_(0)) , The value of n is '(##CEN_KSR_PHY_JEE_C18_E01_040_Q24##)'

    A solid sphere having uniform charge density rho and radius R is shown in figure. A spherical cavity ofradius (R)/(2) is made in it. What is the potential at point O?

    A cylindrical portion of radius r is removed from a solid sphere of radius R and uniform volume charge density rho in such a way that the axis of the hollow cylinder coincides with one of the diameters of the sphere. (r is negligible compared to R). Then the electric field intensity at point A is

    Home
    Profile