The re<span>sistance of the second wire is 16 R.
where R is the resistance of the first wire.
R = </span>ρ

where l = length of the wire
A = area of the wire
A =

where, r =

Thus, on finding the ratio of resistance of the two wires, we get,

here, R1 = R
l1 = 8m
l2 = 2m
A1=π

A1=π

we get. R2 = 16R
Answer:
The new period will be reduced by 50%
Explanation:
The period of pendulum is given by;

When the length is decreased by 25%, the new length L₂ is given by;
L₂ = 25/100(L₁)
L₂ = 0.25L₁

Thus, the new period will be reduced by 50%
(a) At its maximum height, the ball's vertical velocity is 0. Recall that

Then at the maximum height
, we have


(b) The time the ball spends in the air is twice the time it takes for the ball to reach its maximum height. The ball's vertical velocity is

and at its maximum height,
so that


which would mean the ball spends a total of about 5.6 seconds in the air.
(c) The ball's horizontal position in the air is given by

so that after 5.6 seconds, it will have traversed a displacement of


Answer:
The correct option is A. 18 V
Therefore,
Explanation:
Given:
Total Voltage,
V = 56 V,
Voltage drop


To Find:
(Assumed ,as it is not given clearly in the question)
Solution:
So in series combination total Voltage is given as

Substituting the values we get

Therefore,
We know, Applied force(f) = Spring constant (K) * Extension of material (x)
Here, f = 12 N
x = 0.070 m
Substitute their values,
12 = k * 0.070
k = 12 / 0.070
k = 171.43 N/m
In short, Your Answer would be 171.43 N/m
Hope this helps!