Find the uncertainty in U, assuming that X = 10.0 ± 0.5, Y = 5.0 ± 0.1, and

a. U = XY2

b. U = X2 + Y2

c. U = (X + Y2)/2

Step 1 of 4:

Here,it is given that X = 10.0 ± 0.5 and Y = 5.0 ± 0.1.Also U is defined in terms of X and Y.

Using the given values of X and Y we have to find the values of U with uncertainty.

Step 2 of 4:

(a)

Here,U is expressed as U=X.

We have X=10 ,Y=5 and =0.5,=0.1

So U becomes,

U=10

=1025

=250

Now we have to find the uncertainty.

The uncertainty is given by,

=

First we have to find and .

is given by,

=

=

=25

is given by,

=2XY

=2(10)(5)

=100

Thus, becomes

=

=

=

=16.0078

Thus, uncertainty in U is 16.0078.