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Exam
NEET
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Physics
Chapter
Gravitation

NEET · Physics · Gravitation

The variation of acceleration due to gravity (g) with distance (r)...

The variation of acceleration due to gravity (g)\left(g\right) with distance (r)\left(r\right) from the center of the earth is correctly represented by

(Given R=R = radius of earth)

The variation of acceleration due to gravity (g) with distance (r) from the center of the earth is correctlyThe variation of acceleration due to gravity (g) with distance (r) from the center of the earth is correctlyThe variation of acceleration due to gravity (g) with distance (r) from the center of the earth is correctlyThe variation of acceleration due to gravity (g) with distance (r) from the center of the earth is correctlyThe variation of acceleration due to gravity (g) with distance (r) from the center of the earth is correctly

Options

  1. AConsider a water tank as shown in the figure. It's cross-sectional area is 0 . 4 m ^ 2 . The tank has an opening B near
  2. BConsider a water tank as shown in the figure. It's cross-sectional area is 0 . 4 m ^ 2 . The tank has an opening B near
  3. CConsider a water tank as shown in the figure. It's cross-sectional area is 0 . 4 m ^ 2 . The tank has an opening B near
  4. DConsider a water tank as shown in the figure. It's cross-sectional area is 0 . 4 m ^ 2 . The tank has an opening B near

Correct answer

A. Consider a water tank as shown in the figure. It's cross-sectional area is 0 . 4 m ^ 2 . The tank has an opening B near

Step-by-step solution

We know that the gravitational field strength varies according to the variation of the distance of an object from the centre of the earth.

So, gravitational field strength inside the earth varies as,

g=GMrR3g = \dfrac{GMr}{{R}^{3}} if 0≤r≤R0 \le r \le R.

So, g∝rg ∝ r.

At the surface, it is maximum, g=GMR2g = \dfrac{GM}{{R}^{2}}.

Outside the earth, it varies as, g∝1r2g ∝ \dfrac{1}{{r}^{2}} for (r≥R)( r \ge R ).

So, this is the possible graph,

The variation of acceleration due to gravity (g) with distance (r) from the center of the earth is correctly

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