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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 | Toppr 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 - 5876 Votes

3537

Answer Key : (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



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