Find the ratio of potential energy if an object is raised to thrice of its height and its mass is tripled.

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Editor">Editor Staff asked 1 year ago

Find the ratio of potential energy if an object is raised to thrice of its height and its mass is tripled.
 
(a) 1:1
 
(b) 1:4
 
(c) 1:9
 
(d) 1:3
 
The question was posed to me in unit test.
 
This interesting question is from Potential Energy topic in division Work, Energy and Power of Physics – Class 11
Select the correct answer from above options 
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Editor">Editor Staff answered 1 year ago

Correct answer is (c) 1:9
 
To elaborate: PE1 = m x g x h
 
PE2 = (3m) x g x (3h)
 
 = 9 x m x g x h
 
PE1 : PE2 = mgh : 9mgh
 
 = 1:9.

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