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The density of a material in SI units is...

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 is :

A

410

B

40

C

640

D

16

Text Solution

Verified by Experts

The correct Answer is:
B
`rho=M/L^3`
`n_1u_1=n_2u_2`
`:. 128 [M_(1) L_(1)^(-3)]=n_2 [M_(2) L_(2)^(-3)]`
`:. n_2=128xx[M_1/M_2][L_2/L_1]^3`
`=128 xx[(1000)/50] xx[(25)/100]^3`
`=128 xx20 xx1/64 =40`
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