Gravitation Question 218

Question: If the radius of the earth decreases by 10%, the mass remaining unchanged, what will happen to the acceleration due to gravity?

Options:

A) Decreases by 19%

B)Increases by 19%

C)Decreases by more than 19%

D)Increase by more than 19%

Show Answer

Answer:

Correct Answer: D

Solution:

  • $ [g=\frac{GM}{R^{2}}] $ (i) $ [g’=\frac{Gm}{{{\left( \frac{90}{100}R \right)}^{2}}}=\frac{100}{81}-\frac{GM}{R^{2}}] $ (ii) From Eqs. (i) and (ii), $ [g’=\frac{100}{81}g\Rightarrow \frac{g’}{g}=\frac{100}{81}] $ $ [\frac{g’}{g}-1=\frac{100}{81}-1] $ $ [\therefore \Delta g=\frac{19}{81}g=23%] $ of g. So increase is more then 19% of g.


जेईई के लिए मॉक टेस्ट

एनसीईआरटी अध्याय वीडियो समाधान

दोहरा फलक