JEE Advanced | 2013X raysHard

Question

Using the expression 2d sin θ = λ one calculates the values of d by measuring the corresponding angles θ in the range 0 to 90o. The wavelength λ is exactly known and the error in θ is constant for all values of θ. As θ increases from 0o :-

Options

A.the absolute error in d remains constant
B.the absolute error in d increases
C.the fractional error in d remains constant
D.the fractional error in d decreases

Solution


cosθ δθ             θ{δθ = constant}
as θ increases, decreases so
Absolute error |δ(d)| decreases
Also fractional error
fractional error
as θ increases, cotθ decreases
So fractional error decreases

Create a free account to view solution

View Solution Free
Topic: X rays·Practice all X rays questions

More X rays Questions

Which one of the following statements is WRONG in the context of X-rays generated from a X-ray tube?...λmin of X-rays depends on :-...The ionisation energies of K-shell for cobalt, copper, and molebdenum are 7.8, 9.0 and 20.1 KeV respectively. If any met...Which of the following radiations has the least wavelength?...If voltage of X-ray tube is doubled then intensity of X-rays will :-...