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Energy, when one milligram mass is converted in to energy (in joules ) is
- a)3 x 102
- b)3 x 1010
- c)9 x 1010
- d)9 x 102
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Energy, when one milligram mass is converted in to energy (in joules )...
Conversion of mass to energy
- According to Einstein's famous equation E=mc², energy (E) is equivalent to mass (m) times the speed of light (c) squared.
- This means that any amount of mass can be converted into a corresponding amount of energy.
- The conversion factor is the speed of light squared, which is approximately 9 x 10¹⁶ m²/s².
Calculation of energy from one milligram mass
- One milligram is equal to 0.001 grams or 0.000001 kilograms.
- To calculate the energy equivalent of this mass, we can use the formula E=mc², where m is the mass in kilograms.
- Thus, E = (0.000001 kg) x (9 x 10¹⁶ m²/s²) = 9 x 10¹⁰ joules.
Answer explanation
- The correct answer is option 'C', which is 9 x 10¹⁰ joules.
- This is the amount of energy that would be produced if one milligram of mass were completely converted into energy.
- The other options (3 x 10², 3 x 10¹⁰, and 9 x 10²) are not correct because they either underestimate or overestimate the amount of energy that would be produced.
- According to Einstein's famous equation E=mc², energy (E) is equivalent to mass (m) times the speed of light (c) squared.
- This means that any amount of mass can be converted into a corresponding amount of energy.
- The conversion factor is the speed of light squared, which is approximately 9 x 10¹⁶ m²/s².
Calculation of energy from one milligram mass
- One milligram is equal to 0.001 grams or 0.000001 kilograms.
- To calculate the energy equivalent of this mass, we can use the formula E=mc², where m is the mass in kilograms.
- Thus, E = (0.000001 kg) x (9 x 10¹⁶ m²/s²) = 9 x 10¹⁰ joules.
Answer explanation
- The correct answer is option 'C', which is 9 x 10¹⁰ joules.
- This is the amount of energy that would be produced if one milligram of mass were completely converted into energy.
- The other options (3 x 10², 3 x 10¹⁰, and 9 x 10²) are not correct because they either underestimate or overestimate the amount of energy that would be produced.
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Community Answer
Energy, when one milligram mass is converted in to energy (in joules )...
Energy E= m c²
so , E= (10-^6) (3× 10^8)² = 9 × 10^ 10
so , E= (10-^6) (3× 10^8)² = 9 × 10^ 10
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