The density of a material in S I units is 128   k g   m - 3 . In certain units in which the unit…

The density of a material in SI units is 128 kg m-3. In certain units in which the unit of length is 25 cm and the unit of mass is 50g, the numerical value of density of the material is:
  1. 410
  2. 16
  3. 40
  4. 640

Solution

ρ=ML3

n1u1=n2u2

128M1L1-3=n2M2L2-3

n2=128×M1M2L2L13

 =128×100050×251003

=128×20×164

=40

Asked in: JEE Main 2019 (10 Jan Shift 1)

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