The linear strain in `x,y` and `z` direction are `e_(x),e_(y)` and `e_(z)` respectively. Then the volumetric strain is givne by

If x, y, z are in A.P then e^(-x) , e^(-y) and e^(-z) are

If y=sin(x^(2)), z=e^(y^(2)) and t=sqrt(z) , then the value of (dt)/(dx) is -

A plane wave of frquency omega propagates so that a certain phase of oscillation moves along the x,y,z axes with velocities upsilon_(1), upsilon_(2), upsilon_(3) . Respectively. Find the wave vector k , assuming the unit vetors e_(x), e_(y), e_(z) of the coordinate axes to be assigned.

IF y=e^xsinx and z=e^xcosx , then-

For an isotropic solid,if alpha_(x) , alpha_(y) , alpha_(z) represent the mean coefficient of linear expansion along three mutually perpendicular directions then coefficient of volumetric expansion can be written as, A) sqrt(alpha_(x)alpha_(y)alpha_(z)) B) alpha_(x)+alpha_(y)+alpha_(z) C) alpha_(x)alpha_(y)+alpha_(y)alpha_(z)+alpha_(z)alpha_(x) D) alpha_(x)alpha_(y)alpha_(z)

Find the least value of the expression E=(x+y)(y+z) where x,y and z are positive real numbers satisfying the equation xyz(x+y+z)=1

The electron affinity values ( in KJ m o l e^(-1) ) of three halogens x,y and z are respectively -349, -333 and - 325 . Then x,y and z respectively are

The electric field in a region of space has the components E_(y) = E_(z) =0 and E_(x)= (4.00 N//C)x^(2) . Point A is on the y axis at y = 3.00 m, and point B is on the x axis at x = 4.00 m. What is the potential difference V_(B) - V_(A) ?