Question

explain the difference in weight when an object is in moon and earth

Answer 1

Yes. It does. The mass remains constant. While mass is the amount of matter of a body, weight is the pull of the gravity. Earth has a different gravitational pull than moon. An object on Earth will usually weigh much heavier than on moon.
Weight is given by
F = mg
where m is mass, and g is accelration due to gravity on the planet.

But, mass will be a constant, and will not change anywhere.

Coming to your question, yes, weight will change. 'g' on moon is 6 times lesser than that on earth, and weight will be almost 6 times lesser, too..

The Moon's gravity is much less than the Earth's gravity - approximately one sixth. So, a 100 kg astronaut weighs 980N on Earth. On the Moon, the astronaut would weigh only 162.2N. However, the astronaut's mass is 100kg where-ever they are.

Weight on Earth: 100kg x 9.8m/s² = 980N.
Weight on Moon: 100kg x 1.622 m/s² = 162.2N.