A cause the sugar cubes are small enough to dissolve fast
Answer:
The power of the distance is -1.
Explanation:
The equation for the electric potential of a point charge is given by 
where V is the electric potential, k is Coulomb's constant (it has a value of
with units
), q is the electric charge of the small charge and r is the distance from the charge.
Now, the power of a number is how many times we multiply that number by itself; we see r appears only once in the equation. So we know the power is 1. But we can see in the equation that k and q are divided by r, which means r is the denominator. This means the power of r is negative (-).
Therefore, the power of r is -1.
The resistance of the cylindrical wire is
.
Here
is the resistance,
is the length of the wire and
is the area of cross section. Since the wire is cylindrical
. Rearranging the above equation,

Here
.
Substituting numerical values,

The length of the wire is 
Answer:
Explanation:
Given
mass of ethanol 
mass of aluminium cup 
both are at an initial temperature of 
specific heat of ethanol 
specific heat of aluminium 
specific heat of ice 
specific heat of water 
Latent heat of fusion 
suppose m is the mass of ice added
Heat loss by Al cup and ethanol after
is reached

Heat gained by ice such that ice is melted and reached a temperature of 

Comparing 1 and 2 we get

Thus 23.65 gm of ice is added