BSc Sem IV 2014 2015 2015 Physics Add Question Paper - Mumbai University | munotes

Questions asked in this paper

1. Q3 For Q.4 Attempt any three.(each
2. Q1 differential equation
3. Q2 Define an exact differential equation and solve following
4. Q1 Define an order and de sree of differential equation and Write order and degree of Define linear differential equation and solve + (=) y=1 Prove that The Bernoulli Differential equation + Py = Qy” reduces to linear
   • (a) Attempt any one integral and write properties of double integral and evaluate rite t he note on application of double integral to find area of closed bounded ‘region R and find area of the region R bounded byy =x = x" in the ) Find mass and center massof a triangy lar lamina with vertices if
5. Q3 Find the average value of F =X) 1z, over the cube bounded by th plane
6. Q4 Sketch the region and write an equivalent double integral with order of integration
7. Q1 Define Potential func tion and Find Potential function for Define circulation around the curve, flow along the curve and Find the circulation and flux of the field F = xt + yj around and across the closed semicircular path that
   • (b) three. {Each Define the gradient field of a differentiable function fand find gradient of Define work done smooth curve by find the work done
   • z)i + xkis the velocity field of a fluid flowing through a region Find the flow along the curve r = (cost)i + Using Rule 2 to find an integrating factor , Solve following

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