SATHEE: Properties of Matter 1 Question 12

Properties of Matter 1 Question 12

12. The adjacent graph shows the extension $(Δ l)$ of a wire of length $1 m$ suspended from the top of a roof at one end and with a load $w$ connected to the other end. If the cross-sectional area of the wire is $10^{- 6} m^{2}$ , calculate from the graph the Young’s modulus of the material of the wire.

(2003, 2M)

(a) $2 \times 10^{11} N / m^{2}$

(b) $2 \times 10^{- 11} N / m^{2}$

(d) $2 \times 10^{13} N / m^{2}$

Show Answer

Answer:

Correct Answer: 12. (a)

Solution:

$Δ l = (\frac{l}{Y A}) \cdot w$

i.e. graph is a straight line passing through origin (as shown in question also), the slope of which is $\frac{l}{Y A}$ .

$\begin{aligned} ∴ & Slope & = (\frac{l}{Y A}) \\ ∴ & Y & = (\frac{l}{A}) (\frac{1}{slope}) = (\frac{1.0}{10^{- 6}}) \frac{(80 - 20)}{(4 - 1) \times 10^{- 4}} \\ = 2.0 \times 10^{11} N / m^{2} \end{aligned}$

पिछला

अगला

Properties of Matter 1 Question 12

Answer:

इंजीनियरिंग की तैयारी

चिकित्सा तैयारी

एनसीईआरटी पुस्तकें और समाधान

महत्वपूर्ण संसाधन

अन्य संसाधन

पाठ्यक्रम

परीक्षा मंच

नमूना मॉक टेस्ट

सदस्यता

एनसीईआरटी व्यायाम वीडियो समाधान

Properties of Matter 1 Question 12

12. The adjacent graph shows the extension (Δl) of a wire of length 1m suspended from the top of a roof at one end and with a load w connected to the other end. If the cross-sectional area of the wire is 10−6m2, calculate from the graph the Young’s modulus of the material of the wire.

Answer:

इंजीनियरिंग की तैयारी

चिकित्सा तैयारी

एनसीईआरटी पुस्तकें और समाधान

महत्वपूर्ण संसाधन

अन्य संसाधन

पाठ्यक्रम

परीक्षा मंच

नमूना मॉक टेस्ट

सदस्यता

एनसीईआरटी व्यायाम वीडियो समाधान

Menu