Read the assertion and reason carefully to mark the correct option ou...
The universal gravitational constant G is totally different from g.
The constant G is scalar and posses the dimensions [M−1L3T−2]
g is a vector and has got the dimensions [M0LT−2]. It is not a universal constant.
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Read the assertion and reason carefully to mark the correct option ou...
Assertion: The universal gravitational constant is same as acceleration due to gravity.
Reason: Gravitational constant and acceleration due to gravity have the same dimensional formula.
The correct answer is option 'D' - If the assertion and reason both are false.
Explanation:
The assertion is false because the universal gravitational constant (G) and the acceleration due to gravity (g) are not the same. They have different values and represent different physical quantities.
The reason is also false because the gravitational constant and acceleration due to gravity do not have the same dimensional formula. Dimensional formula represents the dimensions of a physical quantity in terms of fundamental quantities like mass, length, and time. The dimensional formula of the universal gravitational constant is [M^-1 L^3 T^-2], where M represents mass, L represents length, and T represents time. On the other hand, the dimensional formula of acceleration due to gravity is [L T^-2], which represents length divided by time squared.
Therefore, both the assertion and reason are false, and the correct answer is option 'D'.
In summary:
- The universal gravitational constant (G) is not the same as the acceleration due to gravity (g).
- The dimensional formula of the universal gravitational constant is [M^-1 L^3 T^-2].
- The dimensional formula of acceleration due to gravity is [L T^-2].
- The assertion and reason are both false, leading to option 'D' as the correct answer.
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