SATHEE: Properties of Matter 1 Question 10

Properties of Matter 1 Question 10

10. One end of a horizontal thick copper wire of length $2 L$ and radius $2 R$ is welded to an end of another horizontal thin copper wire of length $L$ and radius $R$ . When the arrangement is stretched by applying forces at two ends, the ratio of the elongation in the thin wire to that in the thick wire is

(a) 0.25

(b) 0.50

(d) 4.00

(2013 Adv.)

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Answer:

Correct Answer: 10. (c)

Solution:

$\begin{aligned} Δ l = \frac{F L}{A Y} = \frac{F L}{(π r^{2}) Y} \\ \Rightarrow Δ l \propto \frac{L}{r^{2}} \\ ∴ \frac{Δ l_{1}}{Δ l_{2}} = \frac{L R^{2}}{2 L (2 R)^{2}} = 2 \end{aligned}$

Properties of Matter 1 Question 10

Answer:

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Properties of Matter 1 Question 10

10. One end of a horizontal thick copper wire of length 2L and radius 2R is welded to an end of another horizontal thin copper wire of length L and radius R. When the arrangement is stretched by applying forces at two ends, the ratio of the elongation in the thin wire to that in the thick wire is

Answer:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

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