NEET · Physics · STD 11 - 7. gravitation

The acceleration due to gravity at a height \(1\, km\) above the earth is the same as at a depth \(d\) below the surface of earth. Then \(d\,=\) ......... \(km\)

A \(\frac{4}{3}\)
B \(\;\frac{3}{2}\)
C \(\;\frac{2}{3}\)
D \(2\)

Verified Solution

Answer & Solution

Correct Answer

(D) \(2\)

Step-by-step Solution

Detailed explanation

The acceleration due to gravity at a height \(h\) is given as \({g_h} = g\left( {1 - \frac{{2h}}{{{R_e}}}} \right)\)

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

Same subject

Explore more questions on app

From NEET

A Carnot engine has an efficiency of \(50 \%\) when its source is at a temperature \(327^{\circ}\,C\). The temperature of the sink is \(.........^{\circ} C\)

NEET 2023 Medium

Match List \(- I\) with List \(- II.\)

List \(- I\)	List \(- II\)
\((a)\) Scapula	\((i)\) Cartilaginous joints
\((b)\) Cranium	\((ii)\) Flat bone
\((c)\) Sternum	\((iii)\) Fibrous joints
\((d)\) Vertebral column	\((iv)\) Triangular flat bone

Choose the correct answer from the options given below. \((a)- (b) -(c) -(d)\)

NEET 2021 Easy

Explore more questions on app