Answer:
the ratio of the kinetic energy of an electron to that of a proton if their wavelengths are equal is 1835.16 .
Explanation:
We know, wavelength is expressed in terms of Kinetic Energy by :

Therefore , 
It is given that both electron and proton have same wavelength.
Therefore,
.... equation 1.
.... equation 2.
Now, dividing equation 1 by 2 .
We get ,

Putting value of mass of electron =
and mass of proton = 
We get :

Hence , this is the required solution.
Answer:
45°.
It is a property of the parabolas.. When the angle between a parabola and the x-axis is 45° the range is maximum.
Let the vector position of the object in the (x-y) plane be

The applied force is

By definition, the applied torque is

Answer: