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1.The equivalent resistance of two resistors Ri and Rz connected in parallel is given Rey = If R, = 100.0 +5% and R = 47.0 + 5%, find the expected maximum and minimum value of their equivalent resistance when they are connected in parallel.



2. A particle moves in a straight line such that its displacement, x meters, from a fixed point on the line at time t seconds is given by x = 40[e-2t - e-4]. (a) Find the time when the particle is instantaneously at rest. (b) Find the displacement of the particle from O when t = 3 s. (c) Find the total distance travelled during the first 3 seconds of its

Which one of the following is not a kinematic variable that appears in the equations of kinematics?


For the velocity potential function, ϕ = x ^ 2 - y ^ 2 find the velocity components at the point (4, 5)


The velocity potential function ϕ is given by ϕ = x2 - y^2. Find the velocity components in x and y direction. Also, show that ϕ represents a possible case of fluid flow.


 A fluid flow is given by : V = x * y ^ 2 * i - 2y * z ^ 2 * j - (z * y ^ 2 - (2z ^ 3)/3) * k. Prove that it is a case of possible steady incompressible fluid flow Calculate the velocity and acceleration at the point [1, 2, 3] .


The electron and proton of a hydrogen atom are separated (on the average) by a distance of approximately 5.3x10^-11 m. Find the magnitude of the electric force and the gravitational force between the two particles


Calculate the magnitude and direction of the electric field at a point P which is 30 cm to the right of a point charge Q = -3.0 x 10-6 C


You attach an object to the bottom end of


a hanging vertical spring. It hangs at rest after


extending the spring 18.3 cm. You then set


the object vibrating. Do you have enough


information to find its period? Explain your


answer and state whatever you can about its


period.

Consider an electron which has been  accelerated from rest through a potential difference of 500kV. Find a) Its kinetic energy, b.) its rest energy, c.) its total energy, d.) its mass and e.) its speed.


An oscillatory body of mass In attached to a spring of stiffness constant s performs simple harmonic motion in the x-direction. Show that the oscillation is described by the equation mx + sx =0