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Question

A lead shot of diameter 1mm falls through a long column of glycerin The variation of the velocity ‘v’ with distance covered (s) is represented by

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The correct answer is:

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text 1)  end text stack B with rightwards arrow on top subscript 1 end subscript equals 3 stack i with hat on top plus 7 stack j with hat on top minus 5 t stack k with hat on top comma text  2)  end text stack B with rightwards arrow on top subscript 2 end subscript equals 5 t stack i with hat on top minus 4 stack j with hat on top minus 15 stack k with hat on top comma text  3)  end text stack B with rightwards arrow on top subscript 3 end subscript equals 2 stack i with hat on top minus 5 stack t with hat on top minus 12 stack k with hat on top
Where stack B with rightwards arrow on topis in milliteslas and t is in seconds. If the induced current in the loop due to stack B with rightwards arrow on top subscript 1 end subscript comma stack B with rightwards arrow on top subscript 2 end subscript text end textand stack B with rightwards arrow on top subscript 3 end subscriptare i subscript 1 end subscript comma i subscript 2 end subscript text  and  end text i subscript 3 end subscriptrespectively then

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text 1)  end text stack B with rightwards arrow on top subscript 1 end subscript equals 3 stack i with hat on top plus 7 stack j with hat on top minus 5 t stack k with hat on top comma text  2)  end text stack B with rightwards arrow on top subscript 2 end subscript equals 5 t stack i with hat on top minus 4 stack j with hat on top minus 15 stack k with hat on top comma text  3)  end text stack B with rightwards arrow on top subscript 3 end subscript equals 2 stack i with hat on top minus 5 stack t with hat on top minus 12 stack k with hat on top
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