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Question Number 28044 by Tinkutara last updated on 19/Jan/18

Commented by Tinkutara last updated on 19/Jan/18

Please check question 101 and it's answer. Is the answer correct?

Commented by mrW2 last updated on 19/Jan/18

Q101: D

$${Q}\mathrm{101}:\:{D} \\ $$

Commented by Tinkutara last updated on 19/Jan/18

Why is D correct? Why Reason is false?

Commented by mrW2 last updated on 19/Jan/18

The mass of cap ice will be distributed  as water mass elsewhere over the earth,   the moment of inertia of earth will  increase and the rotation of earth will  be slower, it means a day will be longer.  Therefore the assertion is false.  The reason is also false, since the  moment of inertia will increase and  this decreases the speed of rotation.

$${The}\:{mass}\:{of}\:{cap}\:{ice}\:{will}\:{be}\:{distributed} \\ $$$${as}\:{water}\:{mass}\:{elsewhere}\:{over}\:{the}\:{earth},\: \\ $$$${the}\:{moment}\:{of}\:{inertia}\:{of}\:{earth}\:{will} \\ $$$${increase}\:{and}\:{the}\:{rotation}\:{of}\:{earth}\:{will} \\ $$$${be}\:{slower},\:{it}\:{means}\:{a}\:{day}\:{will}\:{be}\:{longer}. \\ $$$${Therefore}\:{the}\:{assertion}\:{is}\:{false}. \\ $$$${The}\:{reason}\:{is}\:{also}\:{false},\:{since}\:{the} \\ $$$${moment}\:{of}\:{inertia}\:{will}\:{increase}\:{and} \\ $$$${this}\:{decreases}\:{the}\:{speed}\:{of}\:{rotation}. \\ $$

Commented by mrW2 last updated on 19/Jan/18

Commented by mrW2 last updated on 19/Jan/18

Commented by mrW2 last updated on 19/Jan/18

I_2 >I_1   I_2 ω_2 =I_1 ω_1   ⇒ω_2 <ω_1

$${I}_{\mathrm{2}} >{I}_{\mathrm{1}} \\ $$$${I}_{\mathrm{2}} \omega_{\mathrm{2}} ={I}_{\mathrm{1}} \omega_{\mathrm{1}} \\ $$$$\Rightarrow\omega_{\mathrm{2}} <\omega_{\mathrm{1}} \\ $$

Commented by Tinkutara last updated on 19/Jan/18

Thank you very much Sir! I got the answer from diagrams.

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