1 find the de broglie wavelength and frequency of an


1. Find the de Broglie wavelength and frequency of an electron whose speed is 10% of the speed of light. Using the EM spectrum chart, what kinds of EM waves could this de Broglie wavelemgth represent? Please show all calculations and explanations!

2. Calculate the de Brogile wavelength of
a. a particle of mass 1 g traveling with a speed of 2.0 m/s.
b. a He atom traveling ith a speed of 103 m/s.

3) Two isolated conducting spheres of radii a and b are placed distance d away from each other. The first sphere (with radius a) has positive charge q, the second one has no excess charge. Then, the spheres are connected by thin wire. Find charges on the spheres after they are connected.

4. The electric motor of a model train accelerates the train from rest to 0.690 m/s in 20.0 ms.The total mass of the train is 875 g. Find the average power delivered to the train during the acceleration.

5. A high-speed drill reaches 2500 rpm in 0.60 s .
A.) What is the drill's angular acceleration?
B.) Through how many revolutions does it turn during this first 0.60 s ?

6. Consider a current-carrying conductor of length L placed in a uniform magnetic field of strength B. Derive the force experienced by the conductor.

7. An 4.0-cm-tall object is 25.0 cm in front of a concave mirror with a focal length of 20 cm. Determine the position of the image. What is the magnification? What is the image size?

8.Find the capacitance of a parallel -plate capacitor with area 23 cm^2, separetion distance 0.95 mm, and dielectric with constant 2.5. usee Epsilon 0 = 8.85 x 10^-12 C^2/N X M^2.

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