Final answer:
The equivalent mass for a particle if a photon has an energy of 4.9725x10^-19 J is calculated using the energy-mass equivalence formula E = mc^2. By rearranging for mass, m = E/c^2, and substituting the given values, the closest approximation to the calculated mass is option C) 5.57x10^-36 kg.
Step-by-step explanation:
To find the equivalent mass of a particle when a photon has an energy of 4.9725x10-19 J, we can use the energy-mass equivalence formula from Einstein's theory of special relativity, which is E = mc2, where E is energy, m is mass, and c is the speed of light in a vacuum (approximately 3x108 m/s). Rearranging the formula to solve for mass gives us m = E/c2.
Let's calculate the equivalent mass, m:
- m = E/c2 = 4.9725x10-19 J / (3x108 m/s)2
- m = 4.9725x10-19 J / 9x1016 m2/s2
- m = 5.525e-36 kg
None of the given options match the calculation exactly, but the closest one is option C) 5.57x10-36 kg, which is the best approximation of the calculated value.