enEnglishguગુજરાતી
JEE Mains · Physics · STD 11 - 10.1, thermonetry,thermal expansion and calorimetry
- JEE Mains 2020
- Hard
- Numerical
A bakelite beaker has volume capacity of \(500\, cc\) at \(30^{\circ} C\). When it is partially filled with \(V _{ m }\) volume (at \(30^{\circ}\) ) of mercury, it is found that the unfilled volume of the beaker remains constant as temperature is varied. If \(\gamma_{\text {(beaker) }}=6 \times 10^{-6}{ }^{\circ} C ^{-1}\) and \(\gamma_{(\text {mercury })}=1.5 \times 10^{-4}{ }^{\circ} C ^{-1},\) where \(\gamma\) is the coefficient of volume expansion, then \(V _{ m }(\)in \(cc )\) is close to
Pick an option to check your answer.
Answer & Solution
Correct Answer
(A) \(20\)
Step-by-step Solution
Detailed explanation
\(\Delta V =\left( V _{0}- V _{ m }\right)\)
After increasing temperature
\(\Delta V ^{\prime}=\left( V _{0}^{\prime}- V _{ m }^{\prime}\right)\)
\(\Delta V ^{\prime}=\Delta V\)
\(V _{0}- V _{ m }= V _{0}\left(1+\gamma_{ b } \Delta T \right)- V _{ m }\left(1+\gamma_{ M } \Delta T \right)\)
\(V _{{0} \gamma_b} = V _{ m } \gamma_{ m }\)
\(V _{ m }=\frac{ V _{0} \gamma_{ b }}{\gamma_{ m }}=\frac{(500)\left(6 \times 10^{-6}\right)}{\left(1.5 \times 10^{-4}\right)}\)
\(20\,CC\)
More questions from Physics
- Match List\(-I\) with List\(-II\) :
Choose the correct answer from the options given below :List\(-I\) List\(-II\) \((a)\) \(\omega L\,>\,\frac{1}{\omega C}\) \((i)\) Current is in phase with \(emf\) \((b)\) \(\omega {L}=\frac{1}{\omega {C}}\) \((ii)\) Current lags behind the applied \(emf\) \((c)\) \(\omega {L}\, < \,\frac{1}{\omega {C}}\) \((iii)\) Maximum current occurs \((d)\) resonant frequency \((iv)\) Current leads the \(emf\) JEE Mains 2021 Medium - A thin biconvex lens is prepared from the glass (\(\mu=1.5\)) both curved surfaces of which have equal radii of \(20\) cm each. Left side surface of the lens is silvered from outside to make it reflecting. To have the position of image and object at the same place, the object should be placed, from the lens at a distance of ________ cm.JEE Mains 2026 Hard
- A shunt of resistance \(1\,\Omega \) is connected across a galvanometer of \(120\,\Omega \) resistance. A current of \(5.5\, ampere\) gives full scale deflection in the galvanometer. The current that will give full scale deflection in the absence of the shunt is nearly ............... \(ampere\)JEE Mains 2013 Medium
- The frequency \((v)\) of an oscillating liquid drop may depend upon radius \((r)\) of the drop, density \((\rho)\) of liquid and the surface tension \((s)\) of the liquid as : \(v=r^{ a } \rho^{ b } s ^{ c }\). The values of \(a , b\) and \(c\) respectively areJEE Mains 2023 Medium
- A finite size object is placed normal to the principal axis at a distance of 30 cm from a convex mirror of focal length 30 cm. A plane mirror is now placed in such a way that the image produced by both the mirrors coincide with each other. The distance between the two mirrors is :JEE Mains 2025 Medium
- A cubical block of side \(0.5\,m\) floats on water with \(30\%\) of its volume under water. ....... \(kg\) is the maximum weight that can be put on the block without fully submerging it under water ? [Take density of water \(= 10^3\,kg/m^3\) ]JEE Mains 2019 Hard
More PYQs from JEE Mains
- A deuteron and an alpha particle having equal kinetic energy enter perpendicular into a magnetic field. Let \(r_{d}\) and \(r_{\alpha}\) be their respective radii of circular path. The value of \(\frac{r_{d}}{r_{\alpha}}\) is equal toJEE Mains 2021 Medium
- A bag of sand of mass \(9.8\,kg\) is suspended by a rope. A bullet of \(200 \,g\) travelling with speed \(10\, ms ^{-1}\) gets embedded in it, then loss of kinetic energy will be \(...J\)JEE Mains 2022 Medium
- The stopping potential for photoelectrons emitted from a surface illuminated by light of wavelength \(6630 \; \mathring A\) is \(0.42 \; V\). If the threshold frequency is \(x \times\) \(10^{13} / s\), where \(x\) is\(\dots\) (nearest integer). (Given, speed light \(=3 \times 10^{8} \; m / s\), Planck's constant \(=6.63 \times 10^{-34} \; Js\) )JEE Mains 2022 Medium
- An aluminium rod with Young's modulus \(Y =7.0\) \(\times 10^{10} N / m ^2\) undergoes elastic strain of \(0.04 \%\). The energy per unit volume stored in the rod in SI unit is:JEE Mains 2023 Easy
- Orange light of wavelength \(6000 \times 10^{-10}\, m\) in illuminates a single slit of width \(0.6 \times 10^{-4}\, m\) The maximum possible number of diffraction minima produced on both sides of the central maximum is\(........\)JEE Mains 2020 Medium
- Which of the following is not a dimensionless quantity?JEE Mains 2021 Hard