Atoms And Nuclei Question 166

Question: Order of magnitude of density of uranium nucleus is (mp=1.67×1027kg) [MP PET 1995; IIT-JEE 1999; MP PMT 2000; UPSEAT 2003]

Options:

A) 1020kg/m3

B) 1017kg/m3

C) 1014kg/m3

D) 1011kg/m3

Show Answer

Answer:

Correct Answer: B

Solution:

The order of magnitude of mass and volume of uranium nucleus will be m ≃ A(1.67 ´ 10-27 kg) (A is atomic number)

V=43πr3~43π [(1.25×1015m)A1/3]3 ~(8.2×1045m3)A

Hence, ρ=mV=A(1.67×1027kg)(8.2×1045m3)A

~2.0×1017kg/m3 .



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