1.

A spectrometer gives the following reading when used to measure the angle of a prism. Main scale reading : `58.5 degree` Vernier scale reading : `09` divisions Given that `1` division on main scale correspods to `0.5` degree. Total divisions on the vernier scale is `30` and match with `29` divisions of the main scale. the angle of the prism from the above data:A. 59 degreeB. 58.59 degreeC. 58.77 degreeD. 58.65 degree

Answer» Correct Answer - D
`1 VSD = (29)/(30)xx0.5^(@) = ((29)/(60))^(@)` and
`1 MSD = ((1)/(2))^(@)=((30)/(60))^(@)`
Least count `= 1 MSD - 1 VSD = ((1)/(60))^(@)`
Reading `= 58.5^(@)+9x((1)/(60))^(@)=58.65^(@)`.


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