Mass density of sphere of radius `R` is `(K)/(r^(2))`. Where `K` is constant and `r` is distance from centre. A particle is moving near surface of sphere along circular path of radius R with time period T. Then
A particle of mass m is moving along a circle of radius r with a time period T . Its angular momentum is
Charge density of a sphere of radius R is rho = rho_0/r where r is distance from centre of sphere.Total charge of sphere will be
The mass density of a spherical galaxy varies as (K)/(r) over a large distance 'r' from its centre . In that region , a small star is in a circular orbit of radius R . Then the period of revolution , T depends on R as :
A particle moves along a semicircular path of radius R in time t with constant speed. For the particle calculate
A particle of mass m carrying a charge -q_(1) starts moving around a fixed charge +q_(2) along a circulare path of radius r. Find the time period of revolution T of charge -q_(1) .
A solid sphere of radius R is charged with volume charge density p=Kr^(n) , where K and n are constants and r is the distance from its centre. If electric field inside the sphere at distance r is proportional to r^(4) ,then find the value of n.
A sphere of radius R has a charge density sigma . The electric intensity at a point at a distance r from its centre is
A solid sphere of radius R has a volume charge density rho=rho_(0) r^(2) (where rho_(0) is a constant ans r is the distance from centre). At a distance x from its centre (for x lt R ), the electric field is directly proportional to :
A solid sphere of radius R has a mass distributed in its volume of mass density rho=rho_(0) r, where rho_(0) is constant and r is distance from centre. Then moment of inertia about its diameter is
