AP EAMCET · PHYSICS · Thermal Properties of Matter
Three rods of equal lengths are joined to form an equilateral triangle \(A B C . D\) is the mid-point of \(A B\). The coefficient of linear expansion is \(\alpha_1\) for material of rod \(A B\) and \(\alpha_2\) for material of rods \(A C\) and \(B C\). If the distance \(D C\) remains constant for small changes in temperature, then
- A \(\alpha_1=2 \alpha_2\)
- B \(\alpha_1=4 \alpha_2\)
- C \(\alpha_1=8 \alpha_2\)
- D \(\alpha_1=\alpha_2\)
Answer & Solution
Correct Answer
(B) \(\alpha_1=4 \alpha_2\)
Step-by-step Solution
Detailed explanation
\(C D^2=(A C)^2-(A D)^2=l^2-\left(\frac{l}{2}\right)^2\) After small change in temperature \(C D^2=(A C)^2-(A D)^2\) \(=\left[l\left(1+\alpha_2 t\right)\right]^2-\left[\frac{l}{2}\left(1+\alpha_1 t\right)\right]^2\)…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from PHYSICS
- In a photodiode, the value of the \(\mathrm{emf}\) produced by a monochromatic light beam is directly proportional toAP EAMCET 2020 Easy
- Magnetic moment due to the motion of the electron in \(n\)th energy state of hydrogen atom is proportional to ..........AP EAMCET 2019 Easy
- The force required to move a body up a rough inclined plane is double the force required to prevent the body from sliding down the plane. The coefficient of friction, when the angle of inclination of the plane is \(60^{\circ}\) isAP EAMCET 2014 Hard
- In a plane electromagnetic wave, the magnetic field is given by \(\vec{B}=3 \times 10^{-7} \sin \left(100 \pi x+10^{12} t\right) T\), then the wavelength of the wave is (In the equation \(x\) is in metre and \(t\) is in second)AP EAMCET 2025 Easy
- The focal length of an equi-convex lens is greater than the radius of curvature of any of the surfaces. Then the refractive index of the material of the lens isAP EAMCET 2005 Medium
- A mass of \(2.9 \mathrm{~kg}\) is suspended from a string of length \(50 \mathrm{~cm}\) and is at rest. Another body of mass \(100 \mathrm{~g}\), which is moving horizontally with a velocity of \(150 \mathrm{~m} / \mathrm{s}\) strikes and sticks to it. Subsequently when the string makes an angle of \(60^{\circ}\) with the vertical, the tension in the string is \(\left(g=10 \mathrm{~m} / \mathrm{s}^2\right)\)AP EAMCET 2013 Medium
More PYQs from AP EAMCET
- Let \(f(x)= \begin{cases}\frac{5 e^{1 / x}+2}{3-e^{1 / x}}, & x \neq 0 \\ 0, & x=0\end{cases}\) Then at \(x=0, x f(x)\) and \(f(x)\) are respectivelyAP EAMCET 2023 Easy
- The ionization potential of hydrogen atom is . How much energy need to be supplied to ionize the hydrogen atom in the first excited state.AP EAMCET 2021 Easy
- A body of mass is attached to a wire of length. The breaking stress is . The area of cross-section from the wire is . The maximum angular velocity with which it can be rotated in a horizontal circle isAP EAMCET 2021 Medium
- The point \((3,2)\) undergoes the following three transformations in the order given
(i) Reflection about the line \(y=x\).
(ii) Translation by the distance 1 unit in the positive direction of \(x\)-axis.
(iii) Rotation by an angle \(\frac{\pi}{4}\) about the origin in the anti-clockwise direction.
Then, the final position of the point isAP EAMCET 2012 Medium - An inorganic compound \((A)\) made of two most occurring elements in the Earth's crust and used in building construction, when made to react with carbon, forms a poisonous gas \((B)\) which is most stable diatomic molecule, compound \((A)\) and \((B)\) areAP EAMCET 2021 Easy
- For transmitting a signal of frequency 1000 kHz, the minimum length of the antenna isAP EAMCET 2025 Easy