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Two systems have thermodynamic probabilities of 3.0×10^27 and 1.8×10^28 respectively. Calculate the entropies of the individual systems and as well as their composite system and verify the boltzmann relation.

What is the force of the gravity that is exerted on the Earth by the sun? The mass of the sun and earth are 1.99 × 10^30kg and 5.97×10^24kg respectively. The distance between the earth and tye sun is 1.496 × 10 ^11 m.

Four particle are to be distributed in 5 states. Calculate the number of ways in which this distribution can be done if the particles obey:


1) M-B statistics 2)B-E statistics.

what is the electric potential given 0.58m away from 18uC charge?





A boy throws a ball of mass 0.293 - kg straight upward with an initial speed of 23m/s. When the ball returns to the boy, its speed is 18.24 m/s. How much work does air resistance do on the ball during its flight?


When a cylindrical capacitor is given a charge of 0.500 nC, a potential difference of 20.0 V is measured between the cylinders. What is the capacitance of this system?

The radius of the outer spear of a spherical capacitor is five times the radius of its inner shell . What are the dimensions of these capacitor if its capacitance is 5.00 picofarad?


show that the expected value of the radial <r> of the 1s electron of the He^+ ion is 0.75 a0

show that the expected value of the radial <r> of the 1s electron of the He^+ ion is 0.75 a0


How will you define a smart city? Is the characteristics of a smart city similar to smartphones? In what way(s)?


Is it possible to build a smart grid in the Philippines? What necessary actions are needed to fulfill this goal?


The capacitors have values C1 = 2.5 μF and C2 = 4.0 μF, C3 =

6.0 μF C4 = 8.0 μF and the potential difference across the battery is

12.0 V. Assume that the capacitors are connected in series. Find the

equivalent capacitance of the circuit and solve for the potential

difference across each capacitors.


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