Physics 2003 JAMB Past Questions - Question 46: In a fission process.the decrease in mass is 0.01%. How much energy could be obtained from the fission of 1.0g of the material? < c = 3.0 x 10J¸ms¹

Correct Answer

B

Explanation

To calculate the energy that can be obtained from the fission of 1.0 gram of a material with a mass decrease of 0.01%, you can use Einstein's famous equation, E=mc², where:

E is the energy produced,
m is the mass decrease,
c is the speed of light.

First, you need to convert the mass decrease from a percentage to a decimal fraction:

0.01% = 0.01/100 = 0.0001

Now, you can calculate the energy produced:

E = (0.0001 grams) × (3.0 x 10^8 m/s)²

First, let's convert the mass from grams to kilograms (since the speed of light is in meters per second):

1 gram = 0.001 kilograms

So, 0.0001 grams = 0.0001 × 0.001 kilograms = 0.0000001 kilograms

Now, you can calculate the energy:

E = (0.0000001 kilograms) × (3.0 x 10^8 m/s)²

E = 0.0000001 kg × (9.0 x 10^16 m²/s²)

E = 9.0 x 10^10 Joules

So, the energy obtained from the fission of 1.0 gram of the material with a mass decrease of 0.01% is approximately 9.0 x 10^10 Joules.