Question

The mass of a body is found out to be 125kg. On melting the body, a cube of side 5m was formed. Find the density of the material in SI units.​

Answer 1

Answer:

Correct option is

A

6%

Given -

Mass of the body =5±0.05 kg

volume =1±0.05 m

3

we know that -

P=

V

M

Now by error analysis method-

Take logarithm both sides

logρ=logM−logV

Differentiating both sides.

P

dP

=

M

dM

−

V

dV

For maximum permissible error write

P

dP

=

M

dM

+

V

dV

⇒

p

dp

=

5

0.05

+

1

0.05

=

5

0.30

=0.06

P

dP

=6%

Hence maximum possible error in P is 6%

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