Statement-I : If we move upward and downward from the surface of earth surface acceleration due to gravity decreases in both upward and downward direction.
Statement-II : Acceleration due to gravity changes by same amount when we go up to height h and depth d when h = d.
Choose the correct options based on above statements.
Both statement-I and Statement-II are true.
Statement-I is true and Statement-II is false.
Statement-I is false and Statement-II are true.
Both statement-I and Statement-II are false.
The correct option is B
Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R. Assertion A: The kinetic energy needed to project a body of mass $m$ from earth surface to infinity is $\frac{1}{2} \mathrm{mgR}$, where R is the radius of earth. Reason R: The maximum potential energy of a body is zero when it is projected to infinity from earth surface.
Match List-I with List-II: List-I
The dimension of $ \sqrt{\frac{\mu_0}{\epsilon_0}} $ is equal to that of: (Where $ \mu_0 $ is the vacuum permeability and $ \epsilon_0 $ is the vacuum permittivity)
In mechanics, the universal force of attraction acting between all matter is known as Gravity, also called gravitation, . It is the weakest known force in nature.
According to Newton’s law of gravitation, “Every particle in the universe attracts every other particle with a force whose magnitude is,
On combining equations (1) and (2) we get,
F ∝ M1M2/r2
F = G × [M1M2]/r2 . . . . (7)
Or, f(r) = GM1M2/r2
The dimension formula of G is [M-1L3T-2].