Answer:
[tex]\dfrac{1}{28.15432}\ s[/tex]
Explanation:
The factor by which the shutter speed is increased is [tex]\dfrac{7.92}{2.8}[/tex]
Exposure time will be increased by
[tex]f=2^{\dfrac{7.92}{2.8}}=7.1037\ s[/tex]
The proper shutter speed is given by
[tex]\dfrac{1}{T}f=\dfrac{1}{200}\times 2^{\dfrac{7.92}{2.8}}=\dfrac{1}{\dfrac{200}{2^{\dfrac{7.92}{2.8}}}}\\ =\dfrac{1}{28.15432}\ s[/tex]
The proper shutter speed is [tex]\dfrac{1}{28.15432}\ s[/tex]
