DIMENTIONS

3 DIMENTIONAL GEOMETRY | JEE Mains 2019| Lecture 16

Two Dimentional Motion (2D)

A charged particle of charge e and mass m is moving in an electric field vecE and magnetic field vecB . Constant dimensionless quantities and quantities of dimention [T]^-1 .

Packing refers to the arrangement of constituent units in such a way that the forces of attraction among the constituent particles is the maximum and the contituents occupy the maximum available space. In two dimensions, there are hexagonal close packing and cubic close packing. In three dimentions, there are hexagonal, cubic as well as body centred close packings. The pattern of successive layers in ccp arrangement is:

Packing refers to the arrangement of constituent units in such a way that the forces of attraction among the constituent particles is the maximum and the contituents occupy the maximum available space. In two dimensions, there are hexagonal close packing and cubic close packing. In three dimentions, there are hexagonal, cubic as well as body centred close packings. The space occupied by spheres in bcc arrangement is:

Packing refers to the arrangement of constituent units in such a way that the forces of attraction among the constituent particles is the maximum and the contituents occupy the maximum available space. In two dimensions, there are hexagonal close packing and cubic close packing. In three dimentions, there are hexagonal, cubic as well as body centred close packings. The empty space left in hcp packing is:

In one dimentional collision between two idential particles 'A' and 'B'. 'B' is stationary and 'A' has momentum 54 kg-m // sec before impact. During impact , 'B' gives an impulse 3kg-m // sec to 'A' . The coefficient of restitution between A and B is

Rule out or accept the following formula for displacement y of particle undergoing periodic motion on the basis of dimentional arguments : (i) a sin 2pi t"/"T (ii) a cos vt (iii) a sin (omegat -kx) where a= maximum displacement of the particle T= time period of motion, t= time interval, v= speed of particle, omega = Angular speed of particle, k= displacement constant.

Packing refers to the arrangement of constituent units in such a way that the forces of attraction among the constituent particles is the maximum and the contituents occupy the maximum available space. In two dimensions, there are hexagonal close packing and cubic close packing. In three dimentions, there are hexagonal, cubic as well as body centred close packings. A certain oxide of a metal M crystallises in such a way that O^(2-) ions occupy hcp arrangement following ABAB... pattern. The metal ions however occupy 2//3 rd of the octahedral voids. The formula of the compound is :