A) d. 10T
When a charged particle moves at right angle to a uniform magnetic field, it experiences a force whose magnitude os given by

where q is the charge of the particle, v is the velocity, B is the strength of the magnetic field.
This force acts as a centripetal force, keeping the particle in a circular motion - so we can write

which can be rewritten as

The velocity can be rewritten as the ratio between the lenght of the circumference and the period of revolution (T):

So, we get:

We see that this the period of revolution is directly proportional to the mass of the particle: therefore, if the second particle is 10 times as massive, then its period will be 10 times longer.
B) 
The frequency of revolution of a particle in uniform circular motion is

where
f is the frequency
T is the period
We see that the frequency is inversely proportional to the period. Therefore, if the period of the more massive particle is 10 times that of the smaller particle:
T' = 10 T
Then its frequency of revolution will be:

Answer: Earth scientists have theorized that the Earth's core is responsible for the planet's magnetic field as well as plate tectonics.
Explanation:
C. The object is not in motion, ruling out A. We are not adding mass in any way, nor does adding heat to object increase its mass, therefore also ruling out B. Finally, we are not changing the object's position in such a way that gives it a higher ability to do work, ruling out D.
Complete Question
The complete question is shown on the first uploaded image
Answer:
The components of reaction at the fixed support are
,
,
,
,
, 
Explanation:
Looking at the diagram uploaded we see that there are two forces acting along the x-axis on the fixed support
These force are 400 N and
[ i.e the reactive force of 400 N ]
Hence the sum of forces along the x axis is mathematically represented as

=> 
Looking at the diagram uploaded we see that there are two forces acting along the y-axis on the fixed support
These force are 500 N and
[ i.e the force acting along the same direction with 500 N ]
Hence the sum of forces along the x axis is mathematically represented as

=> 
Looking at the diagram uploaded we see that there are two forces acting along the z-axis on the fixed support
These force are 600 N and
[ i.e the reactive force of 600 N ]
Hence the sum of forces along the x axis is mathematically represented as

=> 
Generally taking moment about A along the x-axis we have that

=> 
Generally taking moment about A along the y-axis we have that

=> 
Generally taking moment about A along the z-axis we have that

=> 