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The second's pendulum is taken from earth to moon, to keep the time period constant(a) the length of the second's pendulum should be decreased (b) the length of the second's pendulum should be increased (c) the amplitude should increase (d) the amplitude should decrease

Two particles are in space, separated by a distance r. Masses are 2M and M. With the particle of mass 2M held stationary, the other particle is released. It moves under gravitational pull of mass 2M. The speed of M when separation between the particles reduces to 2r​ is n32​rGM​​, then find the value of n.

Telecommunications(10 Marks) 9. A base station transceiver is used to provide a cellular service for a specific area with a blocking probability of 1% and a number of channels of 20. Assume that each user generates 0.1 Erlang of traffic with an average call duration of 2 minutes. For the system, calculate: i. Total number of users which can be supported; and (2 Marks) ii. Peak hour traffic (3 Marks)

5. Find the current through cach circuit element (battery or resistor). Also, find the potential at cach node in the circuit, assuming node a is at ground (0 potential)24582AS10S

The following table shows measured data for I_m versus V_mX 20 Gadget: Current vs. VoltageMeasured voltage V (V): 1.00, 1.30, 1.95, 2.32, 3.50, 4.30, 4.74, 5.50, 7.65Measured current I (mA): 0.73, 1.39, 3.25, 4.54, 10.75, 18.80, 23.39, 30.10, 66.25a) Write a MATLAB program that uses subplot to draw a 2x2 grid of I versus V using: linear linear axes semilog axes (both lin x, log y and log x, lin y) log log axes Apply the principles of making good graphs (i.e., full axes labels, titles, markers, etc.). For fun, use a different marker type and marker color for each subplot. Also, turn on the grid to make it easier to see the scale divisions. Attach a printout of your graph to your paper assignment.b) From examining the graphs, determine the type of functional relationship that exists between the independent and dependent data (i.e., is it linear, power, or exponential)?c) Calculate the numeric fitting parameters (i.e., m and b) for your selected relationship. Derive the correct curve fitting equations. You may perform calculations first and then round off at the end.Upload your MATLAB code (named hw_a3p1.m) to the HW a3 D2L Submission Folder.

Question: A shaped pipe having an inner diameter of 76 mm is mounted to an open atmosphere tank as shown in the figure given below. The tank is filled with water. The shaped pipe is filled with an unknown liquid. Equilibrium is reached as shown in the figure. Calculate the density of the unknown liquid in terms of ton/m^3. Given: p_water = 1 g/cm^3; p_air = 0.0013 g/cm^3; g = 9.81 m/s^2; Y_water = 9810 N/m^3.h/2hhWaterAirh/245h/2Unknown Liquid2h