The energy supplied to Kolkata by the state electricity board during an average November week day was $40$ GWh. If this energy could be obtained by the conservation of matter, how much mass would have to be annihilated?

1.6

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2.2

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4.0

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1.6

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Solution

The correct option is A $1.6$ g
$E - 40 G W h = 40 \times 10^{9} J / s$
$(60 \times 60) = 1.44 \times 10^{14} J$
$E = m c^{2}$
$m = \frac{E}{c^{2}} = \frac{1.44 \times 10^{14}}{(3 \times 10^{8})^{2}} = 16 \times 10^{- 4} k g$
$m = 1.6 g$

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The energy supplied to Kolkata by the state electricity board during an average November week day was 40GWh. If this energy could be obtained by the conservation of matter, how much mass would have to be annihilated?

The correct option is A 1.6gE−40GWh=40×109J/s(60×60)=1.44×1014JE=mc2m=Ec2=1.44×1014(3×108)2=16×10−4kgm=1.6g

The energy supplied to Kolkata by the state electricity board during an average November week day was $40$ GWh. If this energy could be obtained by the conservation of matter, how much mass would have to be annihilated?

The correct option is A $1.6$ g
$E - 40 G W h = 40 \times 10^{9} J / s$
$(60 \times 60) = 1.44 \times 10^{14} J$
$E = m c^{2}$
$m = \frac{E}{c^{2}} = \frac{1.44 \times 10^{14}}{(3 \times 10^{8})^{2}} = 16 \times 10^{- 4} k g$
$m = 1.6 g$