Question

If 45 m of a uniform rod weighs 171 kg, what will
be the weight of 12 m of the same rod?
(a) 49 kg
(b) 42.5 kg
(c) 55 kg
(d) 45.6 kg​

Answer 1

If 45 m of a uniform rod weighs 171 kg, what will

be the weight of 12 m of the same rod?

(a) 49 kg

(b) 42.5 kg

(c) 55 kg

(d) 45.6 kg✔︎✔︎

᯾Solution᯾

D) 45.6 kg

Description for Correct answer:

Because, Weight of 45 m rod = 171 kg

Therefore, Weight of 1 m rod = 17145 kg

Therefore, Weight of 12 mm rod = 17145×12 = 45.6 kg

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Answer 2

Answer : (d) 45.6 kg

Solution :

Let the density of rod be x

${\tt{x = \frac {mass}{length} }}$

$x = \frac{171}{45}$

Second rod is made up of same material.

$\therefore \frac {mass}{length}$

$Mass \: = \: x + \: length$

$Mass = \frac {171}{45} \times 12$

$45.6 \: kg \: \red{ Ans}..$

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