Q.
Let g be the acceleration due to gravity at earth's surface and K be the rotational kinetic energy of the earth. Suppose the earth's radius decreases by 2% keeping all other quantities same, then
see full answer
High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET
🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.
An Intiative by Sri Chaitanya
a
g decreases by 2% and K decreases by 4%
b
g decreases by 4% and K increases by 2%
c
g increases by 4% and K increases by 4%
d
g decreases by 4% and K increases by 4%
answer is C.
(Unlock A.I Detailed Solution for FREE)
Detailed Solution
Radius is decreased by 2% i.e., -2% g=GMR2 g∝1R2 g∝R-2 g%=-2R%=-2(-2%)=+4% and K=L22I==L222MR25 K∝1R2 K∝R-2 K%=-2R%=-2(-2%)=+4%We are clearly given in the question that all the other quantities remain constant other than the radius of earth. So, we could conclude that earth’s mass and angular momentum remains constant.
Watch 3-min video & get full concept clarity