ICT CORNER

ICT CORNER Step4 Step2 Step1 Step3 Hint: If moment of inertia is relatively large, it is very difficult to accelerate in angular direction. - - - - . Find the dimensions of a and b in the formula [P + a V V b RT ][ ] where P is pressure and V is the volume of the gas Solution: By the principle of homogeneity, a / V is of the dimensions of pressure and b is of the dimensions of volume. [a] = [pressure] [V ] = [ML − T − ] [ L ] [ ] MLT [b] = [V] = [L ] . Show that (P / / / ) E is of the dimension of time. Here P is the pressure, ρ is the density and E is the energy of a bubble) Solution: Dimension of Pressure = [ML - T ] Dimension of density = [ML - ] Dimension of Energy = [ML T - ] By substituting in the given equation, = [ML - T ] - / / [ ] [ ML ML T - ] / M L T M L T T / / / / / / / / [ ] . Find the dimensions of mass in terms of Energy, length and time Solution: Let the dimensions of Energy, Length and Time be [ ],[ ],[ ] E L T respectively. We know that Force = mass x acceleration Mass Force acceleration Workdone or Energy acceleration disp ( ) lacement [m] = Energy acceleration displacement [ ][ ] [ ] [ ][ ] [ ] ] [ ] E LT L E L T EL T . A physical quantity Q is found to depend on quantities x,y,z obeying