Choose the correct answer from the options given below:
List – I | List – II |
---|---|
(a) Gravitational constant | (i) [L2T-2] |
(b) Gravitational potential energy | (ii) [M-1L3T-2] |
(c) Gravitational potential | (iii) [LT-2] |
(d) Gravitational intensity | (iv) [ML2T-2 |
(a) - (ii), (b) - (i), (c)-(iv), (d) - (iii)
(a) - (ii), (b) - (iv), (c)-(i), (d) - (iii)
(a) - (ii), (b) - (iv), (c)-(iii), (d) - (i)
(a) - (iv), (b) - (ii), (c)-(i), (d) - (iii)
If mass is written as \( m = k c^P G^{-1/2} h^{1/2} \), then the value of \( P \) will be:
List I | List II | ||
---|---|---|---|
A | Mesozoic Era | I | Lower invertebrates |
B | Proterozoic Era | II | Fish & Amphibia |
C | Cenozoic Era | III | Birds & Reptiles |
D | Paleozoic Era | IV | Mammals |
The work which a body needs to do, against the force of gravity, in order to bring that body into a particular space is called Gravitational potential energy. The stored is the result of the gravitational attraction of the Earth for the object. The GPE of the massive ball of a demolition machine depends on two variables - the mass of the ball and the height to which it is raised. There is a direct relation between GPE and the mass of an object. More massive objects have greater GPE. Also, there is a direct relation between GPE and the height of an object. The higher that an object is elevated, the greater the GPE. The relationship is expressed in the following manner:
PEgrav = mass x g x height
PEgrav = m x g x h
Where,
m is the mass of the object,
h is the height of the object
g is the gravitational field strength (9.8 N/kg on Earth) - sometimes referred to as the acceleration of gravity.