If the mass of sun were len times smaller and gravitational consitant `G` were ten times larger in magnitudes

Options

A. Walking on ground would become more difficult.
B. The acceleration due to gravity on earth will not change.
C. Raindrops will fall much faster.
D. Airplanes will have to travel much faster.

Answer

B

Explanation

(b) When G increase ten times, the acceleration due to gravity on earth becomes
`g'=((10G)(M_(E)))/(R_(E)^(2))=(10 GM_(E))/(R_(E)^(2))=10g ( :.g=(GM_(E))/(R_(E)^(2)))`
Hence, statement (b) is incorrect.
`:.` Weight of person =mg'=m(10g)=10 mg
where m is the mass of the person
Gravity pull on person will increase. Due to it, walking on ground would become more difficult.
Hence , (a) is a correct statement.
Terminal speed of rain drop, `v_(T)=(2)/(9)(r^(2)(rho-sigma)g)/(eta)`
where the symbols have their usual meanings.
Since `v_(T) prop g`, as g increase, `v_(T)` increases.
Hence, ( c) is a correct statement.
To overcome the increase gravitational pull of earth, the aeroplane will have to travel much faster.