Questions
If earth suddenly shrinks to th of its original volume while mass remaining the same, then duration of day (in hour) will be
detailed solution
Correct option is A
Original volume of the earth, V=43πR3Volume of earth after shrinkingV'=V4⇒ 43πR3=18×43πR3R'=R2By conservation of angular momentum,I'ω'=Iω⇒ 25MR2×2πT'=25MR2×2πT⇒ TT'=RR'2⇒ TT=RR/22⇒ TT'=4⇒ T'=T4=244 [∵T=24 h]=6 hTalk to our academic expert!
Similar Questions
A disc rotates freely with rotational kinetic energy E about a normal axis through centre. A ring having the same radius but double the mass of disc is now, gently placed on the disc. The new rotational kinetic energy of the system would be
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