Question

Energy equivalent of mass 0.5 kg is

• A. \( 9 \times 10^{16} \, \text{J} \)
• B. \( 3 \times 10^{16} \, \text{J} \)
• C. \( 2.5 \times 10^{16} \, \text{J} \)
• D. \( 6 \times 10^{16} \, \text{J} \)
• E. \( 4.5 \times 10^{16} \, \text{J} \)

Hint:

To find the energy equivalent of mass, use the equation \( E = mc^2 \), where \( c \) is the speed of light, \( 3 \times 10^8 \, \text{m/s} \).

Answer 1

Answer: (E)

The energy equivalent of mass can be calculated using Einstein’s famous equation: \[ E = mc^2 \] Where: - \( m = 0.5 \, \text{kg} \) (mass) - \( c = 3 \times 10^8 \, \text{m/s} \) (speed of light) Substituting the values: \[ E = 0.5 \times (3 \times 10^8)^2 \] \[ E = 0.5 \times 9 \times 10^{16} = 4.5 \times 10^{16} \, \text{J} \] Thus, the correct answer is (E) \( 4.5 \times 10^{16} \, \text{J} \).