A Large Block Of Ice 5 M Thick Has A Vertical Hole Drilled Through It Floating In The Middle Of A Lake. What Is The Minimum Length Of A Rope Required To Scoop Up A Bucket Full Of Water Through The Hole? [RD of Ice = 0.9]                                                                               

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A large block of ice 5 m thick has a vertical hole drilled through it floating in the middle of a lake. What is the minimum length of a rope required to scoop up a bucket full of water through the hole?

[RD of ice = 0.9]



Correct option is

0.5 m


As ice is floating,  

Now If A is the cross-section of the block, L its thickness and out of L, his inside water, V = AL and Vin = Ah.   


i.e., 4.5 m of ice will be submerged in water. So the level of water in the hole will be 5 – 4.5 = 0.5 m below the top of ice and hence the length of rope required to scoop up water is 0.5 m.



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