Question

A physical quantity 'y' is represented by the
mia
formula y = m^2 r^-4 g^x L^-3/2
If the percentage errors found in y, m, r, 1 and g are
18, 1, 0.5, 4 and p respectively, then find the value​

Answer 1

Answer:

P=a

1/2

.b

2

.c

3

.d

−4

Taking log on both sides

logP=

2

1

loga+2logb+3logc−4logd

Now differentiating on both sides

P

dP

=

2a

da

+2

b

db

+3

c

dc

−4

d

d(d)

or

P

ΔP

=

2a

Δa

±2

b

Δb

±3

c

Δc

±4

d

Δd

Now, given,

a

Δa

×100=2,

⇒

b

Δb

×100=1,

⇒

c

Δc

×100=3,

⇒

d

Δd

×100=5,

⇒

P

ΔP

×100=

2

2

±2×1±3×3±4×5

⇒

P

ΔP

×100=32%

Answer 2

Answer:

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Explanation:

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