One milligram of matter converted into energy will give

Question

One milligram of matter converted into energy will give (A) 90 J (B)  9 × 103 J  (C)  9 × 1010 J  (D)  9 × 105 J

Tardigrade Admin · Accepted Answer

Given, mass of the matter = 1 mg=1×10-6 kg As we know, C=3×108 m /s Matter will be converted into energy by the formula, E=mc2 =1×10-6×(3×108)2 =1×10-6×9×1016 =9×1010 J

Q. One milligram of matter converted into energy will give

90 J

$9 \times 1 0^{3} J$

$9 \times 1 0^{10} J$

$9 \times 1 0^{5} J$

Given, mass of the matter $= 1 m g = 1 \times 1 0^{- 6} k g$
As we know, $C = 3 \times 1 0^{8} m / s$
Matter will be converted into energy by the formula, $E = m c^{2}$
$= 1 \times 1 0^{- 6} \times (3 \times 1 0^{8})^{2}$
$= 1 \times 1 0^{- 6} \times 9 \times 1 0^{16}$
$= 9 \times 1 0^{10} J$

Q. One milligram of matter converted into energy will give

90 J

9×103J

9×1010J

9×105J

Given, mass of the matter =1mg=1×10−6kg As we know, C=3×108m/s Matter will be converted into energy by the formula, E=mc2 =1×10−6×(3×108)2 =1×10−6×9×1016 =9×1010J

$9 \times 1 0^{3} J$

$9 \times 1 0^{10} J$

$9 \times 1 0^{5} J$

Given, mass of the matter $= 1 m g = 1 \times 1 0^{- 6} k g$
As we know, $C = 3 \times 1 0^{8} m / s$
Matter will be converted into energy by the formula, $E = m c^{2}$
$= 1 \times 1 0^{- 6} \times (3 \times 1 0^{8})^{2}$
$= 1 \times 1 0^{- 6} \times 9 \times 1 0^{16}$
$= 9 \times 1 0^{10} J$