The cubical container ABCDEFGH which is completely filled with an ideal (nonviscous and incompressible) fluid, moves in a gravity free space with a acceleration of `a=a_0 (hat i -hatj +hat k)` where `a_0` is a positive constant. Then the minimum pressure at the point will be

A particle moves uniformly with speed v along a parabolic path y = kx^(2) , where k is a positive constant. Find the acceleration of the particle at the point x = 0.

A hollow sphere of radius R is filled completely with an ideal liquid of density rho .Sphere is moving horizontally with an acceleration 2g ,where g is acceleration due to gravity in the space.If minimum pressure of liquid is P_(0) ,then pressure at the centre of sphere is

A positively charged particle is moving along the positive x-axis in a unifom electric field vec E= E_0hatj and magnetic field vec B = B_0hat k (where E_0 and B_0 are positive constants), then

One mole of an ideal gas undergoes a process in which T = T_(0) + aV^(3) , where T_(0) and a are positive constants and V is molar volume. The volume for which pressure with be minimum is

One mole of an ideal gas undergoes a process in which T = T_(0) + aV^(3) , where T_(0) and a are positive constants and V is molar volume. The volume for which pressure with be minimum is

One mole of an ideal gas undergoes a process in which T = T_(0) + aV^(3) , where T_(0) and a are positive constants and V is molar volume. The volume for which pressure with be minimum is

A particle of charge qgt0 is moving at speed v in the +z direction through a region of uniform magnetic field. The magnetic force on the particle vec F = F_0 (3 hat i + 4 hat j) , where F_0 is a positive constant. (a) Determine the components B_x, B_y and B_z or at least as many of the three components as is possible from the information given. (b) If it is given in addition that the magnetic field has magnitude 6F_0 / (qv) , determine the magnitude of B_z .

A particle of charge qgt0 is moving at speed v in the +z direction through a region of uniform magnetic field. The magnetic force on the particle vec F = F_0 (3 hat i + 4 hat j) , where F_0 is a positive constant. (a) Determine the components B_x, B_y and B_z or at least as many of the three components as is possible from the information given. (b) If it is given in addition that the magnetic field has magnitude 6F_0 / (qv) , determine the magnitude of B_z .