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CBSE Class 12-science Answered

Asked by kvunni hj | 29 Dec, 2014, 09:40: PM
answered-by-expert Expert Answer
begin mathsize 14px style Given space that : Distance space between space the space two space slits comma space straight d space equals space 1 mm equals 10 to the power of minus 3 end exponent space straight m Wavelength space of space light comma space straight lambda space equals 6.5 space cross times 10 to the power of minus 7 end exponent space straight m Distance space between space the space slit space and space the space screen comma space straight D space equals space 1 space straight m We space know space that : Position space of space straight n to the power of th space bright space fringe space is space given space by : straight x space equals nλ straight D over straight d space where space straight n space equals space 1 comma 2 comma 3..... and space the space position space of space straight m to the power of th space end exponent dark space fringe space is space given space by : straight x space equals left parenthesis 2 straight m minus 1 right parenthesis straight lambda over 2 straight D over straight d space where space straight m space equals 1 comma 2 comma 3........ The space distance space between space the space bright space and space the space dark space fringe space can space be space obtained space by : straight x space equals space nλ straight D over straight d minus left parenthesis 2 straight n minus 1 right parenthesis straight lambda over 2 straight D over straight d straight x space equals λD over straight d open square brackets straight n minus left parenthesis 2 straight m minus 1 right parenthesis 1 half close square brackets straight x space equals λD over straight d open square brackets straight n minus straight m plus 1 half close square brackets Substituting space the space values space : ie. space here space straight n space equals space 5 space and space straight m space equals space 3 straight x space equals fraction numerator 6.5 space cross times 10 to the power of minus 7 end exponent space straight m cross times 1 space straight m over denominator 10 to the power of minus 3 end exponent space straight m end fraction open square brackets 5 minus 3 plus 1 half close square brackets straight x equals fraction numerator 6.5 space cross times 10 to the power of minus 7 end exponent space straight m cross times 1 space straight m over denominator 10 to the power of minus 3 end exponent space straight m end fraction cross times 5 over 2 straight x space equals 1.625 space cross times 10 to the power of minus 3 end exponent space straight m straight x space equals 1.625 space mm  end style
The distance between the 3 rd dark fringe and 5 th bright fringe = 1.625 mm
Answered by Jyothi Nair | 30 Dec, 2014, 09:21: AM
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