A Beam of X-Rays at a Certain Wavelength Are Scattered $45.0 ^ { \circ }$

Multiple Choice

A beam of X-rays at a certain wavelength are scattered from a free electron that is at rest, and the scattered beam is observed at $45.0 ^ { \circ }$ from the incident beam. What is the change in the wavelength of the $\mathrm { x }$ -rays during this process? (melectron $= 9.11 \times 10 ^ { - 31 } \mathrm {~kg} , c = 3.00 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } , h = 6.626 \times$ 10^-34J.s)

A) $1.75 \times 10 ^ { - 13 } \mathrm {~m}$
B) $2.76 \times 10 ^ { - 13 } \mathrm {~m}$
C) $0 \mathrm {~m}$
D) $7.10 \times 10 ^ { - 13 } \mathrm {~m}$
E) $3.56 \times 10 ^ { - 13 } \mathrm {~m}$