The energy equivalent of 0.5 g of a substance is :

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NEET 2020 Official Paper (Held On: 13 September, 2020)
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  1. 1.5 × 1013 J
  2. 0.5 × 1013 J
  3. 4.5 × 1016 J
  4. 4.5 × 1013 J

Answer (Detailed Solution Below)

Option 4 : 4.5 × 1013 J
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Detailed Solution

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CONCEPT:

Mass Energy equivalence - In the equivalence, Einstein gives the relationship between the mass and energy in the system of rest frame. It states that the mass possesses some energy in the rest frame of reference and it is written as;

\(E = mc^2\) ----(1)

Here we have E as the energy, m is the mass, and c is the velocity of the light.

CALCULATION:

Mass of the substance, m = 0.5 g (given)

and velocity of light, c = 3 × 108 m/s

Putting these values in equation (1) we get;

E = mc2

⇒ 0.5 × 10-3 × (3 × 108)2

⇒ 4.5 × 1013 J

Hence, option 4) is the correct answer.

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