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Question

Two deutrons fuse to form a helium nucleus and energy is released, because the mass of helium nucleus is

A
equal to that of two deutrons
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B
less than that of two deutrons
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C
more than that of two deutrons
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D
all the above
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Solution

The correct option is C less than that of two deutrons
Mass of deuteron nucleus is 2.0141 amu and masss of helium nucleus is 4.0026 amu. When two deuterons fuse to form a helium nucleus some of the mass will be lost and the mass defect is
Δm=(2×2.0141)4.0026
Δm=4.02824.0026
Δm=0.0256amu
This mass is converted into energy and is released.
Hence, two deuterons fuse to form a helium nucleus and energy is released, because the mass of helium nucleus is less than that of two deuterons

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