यदि पृथ्वी की त्रिज्या `1%` कम्र कर दिया जाये तो पलायन वेग का मान कितना हो जायेगा ?

Explanation

`v=sqrt(2gR) rArr v prop sqrt(R) rArr (v_(1))/(v_(2))=sqrt((R_(1))/(R_(2)))`
`rArr" "(v_(1))/(v_(2))=sqrt((R_(1))/(R_(1)-(1)/(100)R_(1)))`
`=sqrt((1)/(1-(1)/(100)))=(1)/((1-(1)/(100))^(1//2))`
या `v_(2)=v_(1)(1-(1)/(100))^(1//2)=(1-(1)/(2)xx(1)/(100))v_(1)`
`=(1-(0.5)/(100))v_(1)=v_(1)-(0.5)/(100)v_(1)`
अर्थात `0.5%` कम हो जायेगा।.