Question

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Answer 1

tring is given in terms of the tension, T, and mass per unit length, m, by

U = (T/M)1/2

Find the error in U in terms of the errors in T and m.

(3.8) The index of refraction of a prism is given by:

n = sin[(A+D)/2]/sin[A/2]

where A is the prism angle and D is the angle of deviation of a light ray passing through the prism. Find an expression for the absolute error in n.

(3.9) The focal length, f, of a lens if given by:

1 1 1

— = — + —

f p q

where p and q are the object and image distances. Write an expression for the fractional error in f. When is this error largest? When is it least?

6.4 INDETERMINATE ERRORS

The use of the chain rule described in section 6.2 correctly preserves relative signs of all quantities, including the signs of the errors. It is therefore appropriate for determinate (signed) errors.

Indeterminate er

Answer 2

Answer:

a) 24690

b) proportion

c) loss

d) negative

e) multiplication

f) multiplicative inverse

g) rational

h) constant

i) Linear

j) parallel