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castortr0y [4]
3 years ago
15

Multiply the following numbers, using scientific notation and the correct amount of significant digits. 1.003 m⋅3.09 = _____ 3.0

99 m 3.10 m 3.0993 m 3.1 m
Physics
2 answers:
Misha Larkins [42]3 years ago
6 0

Answer:

3.10 m

Explanation:

When we multiply or divide there is a rule for significant digits given below:

“The answer will be rounded off to the shortest number of significant digits among the numbers which are being multiplied or divided”.  

When we multiply 1.003 m and 3.10, we get 3.1093 m. But we have round it off according to the rule up to 3 significant digits because one of the numbers has 3 significant digits. Hence, answer will be 3.10m.  

lozanna [386]3 years ago
3 0

Answer

correct answer is 3.10

Explanation:

in this question we have to multiply  two numbers 1.003 and 3.09.

1.003 has 4 significant digits and 3.09 has 3 significant digits so answer must have 3 significant digits.

1.003\times 3.09=3.09927

1.003\times 3.09=3.10              


Hope it will help you

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1.

n₁ = index of refraction of diamond = 2.4

n₂ = index of refraction of water = 1.33

θ₁ = angle of incidence = 24 deg

θ₂ = angle of refraction = ?

using snell's law

n₁ Sinθ₁ = n₂ Sinθ₂

inserting the values

(2.4) Sin24 = (1.33) Sinθ₂

θ₂ = 47.22 deg


2.

c = specific heat = 4.18

m = mass of water = 3.5 kg

ΔT = change in temperature = 55 - 25 = 30 C

Q = heat taken

heat taken is given as

Q = m c ΔT

inserting the values

Q = (3.5) (4.18) (30)

Q = 439 J


3.

n = number of moles = 1

m = molar mass = 0.0399 kg

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v = average velocity

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v = sqrt(3RT/m)

v = sqrt(3 x 8.314 x 275/0.0399)

v = 414.6m/s


4.

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5.

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6.

R = resistance of each resistance in series = 10 ohm

R' = equivalent resistance in series

equivalent resistance is given as

R' = 3 R

R' = 3 x 10

R' = 30 ohm


7.

R = resistance of each resistance in parallel = 10 ohm

R'' = equivalent resistance in parallel

equivalent resistance is given as

R'' = R/3

R'' = 10/3

R'' = 3.3 ohm


8.

for series circuit

R' = equivalent resistance in series = 30 ohm

V = Voltage applied = 60 Volts

i' = current in each resistor in series

current in each resistor in series is given as

I' = V/R'

i' = 60/30

i' = 2 A


for parallel circuit :

i = current in each resistor = V/R = 60/10 = 6 A








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4 years ago
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