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A copper rod of length L and radius r is suspended from the ceiling by one of its ends. What will be elongation of the rod due to its own weight when  are the density and Young’s modulus of the copper respectively?

a)

b)

c)

d)



Question ID - 56351 | SaraNextGen Top Answer

A copper rod of length L and radius r is suspended from the ceiling by one of its ends. What will be elongation of the rod due to its own weight when  are the density and Young’s modulus of the copper respectively?

a)

b)

c)

d)

1 Answer
127 votes
Answer Key / Explanation : (b) -

(b)

The weight of the rod can be assumed to act at its mid-point.

Now, the mass of the rod is

Here,

  L= length of the rod.

Now, we know that the Young’s modulus

?  

or   

On putting the value of M from Eq.(i), we get

or

127 votes


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