Law of Conservation of Energy

Q. You are in outer space at point A and you are “falling” towards Jupiter. But lucky for you, you’re “falling” at a speed of ‘v’ which is higher than the escape velocity of Jupiter’s gravitational field at a distance ‘R’ as shown in the figure. Your prayers to the Old Gods and the New seem to be working because luck is on your side once again. You don’t fall directly onto the planet but go around it and away from it because of your escape velocity. When you reach point B, what is your speed(v’) ? (Assume the only force that acted on you is Jupiter’s gravitational pull. Also assume Jupiter is stationary.)

1. None of these
2. 
3. 
4. 

Q.

Under a constant Electric field of 5 N/C, a positive charge moves such that its Kinetic energy is increased by 10 J. Assuming no other force acting, the work done by the field is?

1. -10 J

2. 0 J

3. None of these ​​

4. 10 J

Q.

Total Energy of the universe is constant?

1. Yes, of course

2. No, it’s conserved but not constant.
3. \N
4. \N

Q. A charge $q={10}^{-6}C$ of mass $2g$ is free to move when released at a distance ${}^{\prime }{a}^{\prime }$ from the fixed charge $Q$.
Calculate its speed, when it moves to a distance $b$
[Assume $a=1\text{m}$, $b=10\text{m},Q={10}^{-3}\text{C}]$

1. $90\text{m/s}$
2. $9\text{m/s}$.
3. $900\text{m/s}$.
4. None of these

Q. How can we create 5 Joule of energy for our use?

1. By growing crops
2. By eating food
3. By sleeping
4. By no means

Q.

Which of the following statement is/are true for a freely falling body?

1. Potential energy and kinetic energy at any point during the free fall always remain constant.

2. Potential energy gets converted into kinetic energy progressively.

3. Sum of potential energy and kinetic energy at any point during the free fall remains constant.

4. Sum of potential energy and kinetic energy at any point during the free fall does not remain constant.

Q. Internal combustion engines, nuclear reactors, hydroelectric power, tube lights, and gas stoves all are example to prove_______

1. Interconvertibility of energy
2. That we can create new energy
3. Non-interconvertibility of energy
4. None of the above

Q. Steam engine converts heat into mechanical work

1. True
2. False

Q. How can we create 5 Joule of energy for our use?

1. By growing crops
2. By eating food
3. By sleeping
4. By no means

Q. According to second law of thermodynamics ENERGY = WORK + HEAT + ___ .

1. Losses
2. Water
3. Wind
4. Nothing