Answer:

Explanation:
When calculating Hall voltage, it is crucial to have the current, magnetic field strength, length, area, and number of charge carriers available. The Hall voltage can be expressed using the equation:

Where:
i= the current
B= the magnetic field strength
L = the length
n = the number of charge carriers
e= charge of an electron
We need to replace values and solve for n:



As a result, the charge carrier density is 
Answer:
a) The frequency is 3.191x10^11.
b) The type of radiation is microwave radiation.
c) The energy of one quantum of this radiation amounts to 1.32x10^-3ev.
Explanation:
For further details and calculations, please refer to the image below.
Answer:
Explanation:
According to the parameters provided,
mass of the clay lump, m₁ = 0.05 kg
initial velocity of the lump, u₁ = 12 m/s
mass of the cart, m₂ = 0.15 kg
initial speed of the cart, u₂ = 0
As the clay adheres to the cart, we have an inelastic collision scenario. Let v represent the combined speed of both the cart and lump post-collision. Given that momentum is conserved, we have:



The resultant speed is v = 3 m/s.
Thus, the final speed of both cart and lump following the collision is 3 m/s. This concludes the solution.