A positively charged thin metal ring of ...

A positively charged thin metal ring of radius R is fixed in the xy plane with its centre at the origin O. A negatively charged particle P is released from rest at the point `(0, 0, z_0)` where `z_0gt0`. Then the motion of P is

periodic for all values of `Z_(0)` satisfying `0 lt Z_(0) lt oo`

simple harmonic for all values of `Z_(0)` satisfying `0 lt Z_(0) le R`

approximately simple harmonic provided `Z_(0) lt lt R`

such that P crosses O and continues to move along the negative Z-axis towards `Z =- oo`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

PRACTICE PAPPER
NCERT FINGERTIPS ENGLISH|Exercise Practice Paper 1|50 Videos
PRACTICE PAPPER
NCERT FINGERTIPS ENGLISH|Exercise Practice Paper 2|50 Videos
PRACTICE PAPPER
NCERT FINGERTIPS ENGLISH|Exercise Practice Papper 2|50 Videos
NUCLEI
NCERT FINGERTIPS ENGLISH|Exercise Assertion And Reason|15 Videos
RAY OPTICS AND OPTICAL INSTRUMENTS
NCERT FINGERTIPS ENGLISH|Exercise NCERT Exemplar|11 Videos

Similar Questions

Explore conceptually related problems

A positively charged ring is in y - z plane with its centre at origin . A positive test charge q_(e ) , held at origin is released along x axis, then its speed

A circular ring of radius R with uniform positive charge density lambda per unit length is located in the y z plane with its center at the origin O. A particle of mass m and positive charge q is projected from that point p( - sqrt(3) R, 0,0) on the negative x - axis directly toward O, with initial speed V. Find the smallest (nonzero) value of the speed such that the particle does not return to P ?

A circular ring of radius R and uniform linear charge density +lamdaC//m are kept in x - y plane with its centre at the origin. The electric field at a point (0,0,R/sqrt(2)) is

The gravitational force vec(F) upon an object of mass m placed in external gravitational field vec(E )_("ext") is given by vec(F)=m vec(E )_("ext") . Consider a fixed mass ring (of mass M, radius R) in y-z plane, with centre at (0,0) and axis of ring along x direction. If the particle (mass m) is released from rest from a point distant x = R sqrt(3) , then it will pass through the centre of ring with speed

A point P(R sqrt(3),0,0) lies on the axis of a ring of mass M and radius R. The ring is located in yx-plane with its centre at origin O. A small particle of mass m starts from P and reaches O under gravitational attraction only. Its speed at O will be

Two equal negative charges -q are fixed at points (0, -a) and (0,a) on y-axis. A poistive charge Q is released from rest at point (2a, 0) on the x-axis. The charge Q will

A circular ring carries a uniformly distributed positive charge and lies in the xy plane with center at the origin of the cooredinate system. If at a point (0,0,z) the electric field is E, then which of the following graphs is correct?

A magnetic field B is confined to a region r le a and points out of the paper (the z-axis), r = 0 being the centre of the cicular region. A charged ring (charge = Q) of radius b,bgt a and mass m lie in the x-y plane with its centre at origin. The ring is free to rotate and is at rest. The magnetic field is brougth to zero in time Delta t . Find the angular velocity omega or the ring after the field vanishes.

Eight charges each of value q are placed on a ring of radius R placed in x - y plane with origin at centre . A - q charge having mass m is projected from z=oo towards the centre of the ring with velocity v . The velocity of - q when it reaches the centre of ring is (neglect gravity)

A uniform surface charge of density sigma is given to a quarter of a disc extending upto infinity in the first quadrant of x-y plane. The centre of the disc is at the origin O. Find the z-component of the electric field at the point (0, 0, z) and the potential difference between the points (0, 0, d) & (0, 0, 2d) .

NCERT FINGERTIPS ENGLISH-PRACTICE PAPPER-Practice Papper 3

When a pentavalent imputrity is added in Ge crystal then, what type of...
Text Solution
|
A thin metal plate P is inserted between the plates of a parallel-plat...
Text Solution
|
A positively charged thin metal ring of radius R is fixed in the xy pl...
Text Solution
|
A voltmeter having a resistance of 1800 Omega employed to measure the ...
Text Solution
|
A microammeter has as resistance of 100 Omega and full scale range of ...
Text Solution
|
A 100 W bulb B(1) and two 60 W bulbs B(2) and B(3), are connected to a...
Text Solution
|
A short conducting rod P of length 3.0 cm is placed parallel to an nea...
Text Solution
|
A rectangular loop carrying a current i is situated near a long strai...
Text Solution
|
An electron and a proton enter a magnetic field at right angles to the...
Text Solution
|
A gang capacitor is formed by interlocking a number of plates as shown...
Text Solution
|
A galvanometer of resistance 25Omega is connected to a battery of 2 vo...
Text Solution
|
A rectangular coil of 20 turns and area of cross-section 25 cm^(2) has...
Text Solution
|
For perfectly coupled coils, the coupling coefficient should be equal ...
Text Solution
|
A 200 muF capacitor in series with a 100 Omega resistance is connected...
Text Solution
|
The overall efficiency of a transformer is 90%.The transformer is rate...
Text Solution
|
In an experiment to find focal length of a concave mirror, a graph is ...
Text Solution
|
In a reflecting astronomical telescope, if the objetcive (a spherical ...
Text Solution
|
Which one of the following is a possible nuclear reaction ?
Text Solution
|
A 5 W source emits monochromatic light of wavelength 5000 Å. When plac...
Text Solution
|
Calculate in how many months , (3/4)^(th) of the substance will dacay,...
Text Solution
|