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 50 g, the numerical value of density of the material
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Dear Student,
◆ Answer -
Density = 40 units
● Explanation -
Suppose x and y be units for length and mass in new system.
x = 25 cm, 1 cm = 1/25 x
y = 50 g, 1 g = 1/50 y
Given that density of material is -
d = 128 kg/m^3
d = 128 (1 kg) /(1 m^3)
d = 128 × (1000 g)/(100 cm)^3
d = 128 × (10^3 g)/(10^6 cm^3)
d = 128/1000 (1 g)/(1 cm^3)
d = 128/1000 (1/50 y)/(1/25 x)^3
d = 128/1000 × (25^3/50) × y/x^3
d = 40 y/x^3
d = 40 units
Hence, numerical value of density of the material in new units is 40.
Thanks dear. Hope this helps you...
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