Show that `P= vecF *vecv` where P is the power , `vecF` is the force and `vecv` is the velocity.

Show that power (P)= vecF*vecV (Where vec V = velocity and vecF = force)

Water is flowing in streamline motion through a horizontal tube. The pressure at a point in the tube is p where the velocity of flow is v. At another point, where the pressure is p/2, the velocity of flow is [density of water =rho ]

Show that DeltaH = q//p .

A particle with charge q is moving with a velocity vecv in a magnetic field vecB . If the force acting on the particle is vecF then,

If P (A) is the power set of A= {1,3,5,7} then-

Write the expression for the force vecF acting on a particle of charge q moving with a velocity vecv in the prensnece of both electric field vecE and magnetic field vecB . Obtain the condition under which the particle moves undeflected through the fields.

A dipole of moment vecp is placed in a uniform field vecE . The force on the dipole is vecF and the torque is vec(tau) . Then

Given a non-empty set X, consider the binary opertion **: P(X) xx P (Y) to P (X) given by A **B= A nnB AA A, B in P (X), where P(X) is the power set of X. Show that X is the identity element for this opertion and X is the only invertible elemtn in P(X) with respect to the opertion **.