Nuclei - Result Question 21

«««< HEAD:content/english/neet-pyq-chapterwise/physics/nuclei/nuclei-result-question-21.md

23. The energy equivalent of $0.5 g$ of a substance is :

======= ####23. The energy equivalent of $0.5 g$ of a substance is :

3e0f7ab6f6a50373c3f2dbda6ca2533482a77bed:content/english/neet-pyq-chapterwise/physics/nuclei/nuclei—result-question-21.md (a) $4.5 \times 10^{13} J$

(b) $1.5 \times 10^{13} J$

(c) $0.5 \times 10^{13} J$

(d) $4.5 \times 10^{16} J$

[2020]

Show Answer

Answer:

Correct Answer: 23. (a)

Solution:

  1. (a) From the Einstein’s mass-energy equivalence, the relation between the mass of a substance $m$ and its energy $E$ is

$E=m c^{2}$

Here, $c=$ speed of light

$ \begin{aligned} \therefore E & =0.5 \times 10^{-3} \times(3 \times 10^{8})^{2}=0.5 \times 10^{-3} \times 9 \times 10^{16} \\ & =4.5 \times 10^{13} J . \end{aligned} $