If 12 m uniform rod weight 42 kg, then the weight of 5 m rod of the same type will be

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

17.5 m

20 m

18 m

16.5 m

answer is A.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Given a 12 m uniform rod weight of 42 kg.
We need to find the weight of 5 m rod of the same type.
Assume that the weight of 5 m rod would be

w

kg.
Understand the fact that mass of rod is in direct proportion with length of rod and hence the ratio of mass and length would be constant.

\frac{mass of rod}{length of rod} = constant

Equate the ratio of 42 kg mass and length 12 m with ratio of

w

kg mass and 5 m length to solve for

w

\frac{w}{5} = \frac{42}{12}

w = \frac{5 \times 42}{12}

w = \frac{210}{12}

w = 17.5

The weight of 5 m rod of the same type will be 17.5 m
Hence, the correct option is 1.

Watch 3-min video & get full concept clarity

JEE

NEET

Foundation JEE

Foundation NEET

CBSE