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Q.

If the unit of force is 2N, that of length is 4m and that of velocity is 6 ms−1, then the unit of linear momentum is

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a

29 kg ms−1

b

43  kg  ms−1

c

92 kg  ms−1

d

25 kg  ms−1

answer is B.

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Detailed Solution

P α FaLbVcMLT−1=K[MLT−2]aLb[LT−1]cMLT−1=MaLa+b+cT−2a−ca =1   a+b+c =1  -2a-c =-1c=−1by solving above equations,a=1, b=1, c=-1b=1P=FLV=2 Newton4met6 met sec-1=43Kg met sec-2 metmet sec-1=43kg met sec-1
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If the unit of force is 2N, that of length is 4m and that of velocity is 6 ms−1, then the unit of linear momentum is