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Gravitation question

2022 · Q159
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Gravitation question

2022 · Q159

NEETPhysicsGravitationMCQ+4 / −1

Match List - I with List - II

List - I List - II
(a) Gravitational constant (G) (i) [L2T−2][{L^2}{T^{ - 2}}][L2T−2]
(b) Gravitational potential energy (ii) [M−1L3T−2][{M^{ - 1}}{L^3}{T^{ - 2}}][M−1L3T−2]
(c) Gravitational potential (iii) [LT−2][L{T^{ - 2}}][LT−2]
(d) Gravitational intensity (iv) [ML2T−2][M{L^2}{T^{ - 2}}][ML2T−2]

Choose the correct answer from the options given below

  1. A
    (a)-(ii), (b)-(i), (c)-(iv), (d)-(iii)
  2. B
    (a)-(ii), (b)-(iv), (c)-(i), (d)-(iii)
  3. C
    (a)-(ii), (b)-(iv), (c)-(iii), (d)-(i)
  4. D
    (a)-(iv), (b)-(ii), (c)-(i), (d)-(iii)
View written solutionFree

Correct answer: B

(a) $$[G] = {{F{r^2}} \over {{m_1}{m_2}}}$$

$$[G] = {{F{r^2}} \over {{m_1}{m_2}}} = {{[ML{T^{ - 2}}]{L^2}} \over {[MM]}} = [{M^{ - 1}}{L^3}{T^{ - 2}}]$$

(b) Gravitational potential energy $ = [M{L^2}{T^{ - 2}}]$

(c) Gravitational potential $$ = {{PE} \over m} = [{L^2}{T^{ - 2}}]$$

(d) Gravitational field intensity $$ = {F \over m} = [L{T^{ - 2}}]$$

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