JEE Mains · Physics · STD 11 - Surface tension
- JEE Mains 2026
- Hard
- MCQ
Match List-I with List-II.
| List-I | List-II | ||
| A. | Coefficient of viscosity | I. | \(\left[ ML ^{-1} T^{-2}\right]\) |
| B. | Surface tension | II. | \(\left[ ML ^2 T^{-2}\right]\) |
| C. | Pressure | III. | \(\left[ ML ^0 T^{-2}\right]\) |
| D. | Surface energy | IV. | \(\left[ ML ^{-1} T^{-1}\right]\) |
Pick an option to check your answer.
Answer & Solution
Correct Answer
(B) A-IV, B-III, C-I, D-II
Step-by-step Solution
Detailed explanation
(A) \(\eta=\frac{ Fdr }{ Adv }=\frac{\left[ MLT ^{-2}\right][ L ]}{\left[ L ^2\right]\left[ LT ^{-1}\right]}=\left[ ML ^{-1} T^{-1}\right]\)
(B) \(S =\frac{ F }{ L }=\frac{\left[ MLT ^{-2}\right]}{[ L ]}=\left[ MT ^{-2}\right]\)
(C) \(P =\frac{ F }{ A }=\frac{\left[ MLT ^{-2}\right]}{\left[ L ^2\right]}=\left[ ML ^{-1} T^{-2}\right]\)
(D) \(E = S \times A =\left[ MT ^{-2}\right]\left[ L ^2\right]=\left[ ML ^2 T^{-2}\right]\)
(B) \(S =\frac{ F }{ L }=\frac{\left[ MLT ^{-2}\right]}{[ L ]}=\left[ MT ^{-2}\right]\)
(C) \(P =\frac{ F }{ A }=\frac{\left[ MLT ^{-2}\right]}{\left[ L ^2\right]}=\left[ ML ^{-1} T^{-2}\right]\)
(D) \(E = S \times A =\left[ MT ^{-2}\right]\left[ L ^2\right]=\left[ ML ^2 T^{-2}\right]\)
More questions from Physics
- A coil having \(100\) turns, area of \(5 \times 10^{-3} \mathrm{~m}^2\), carrying current of \(1 \mathrm{~mA}\) is placed in uniform magnetic field of \(0.20 \mathrm{~T}\) such a way that plane of coil is perpendicular to the magnetic field. The work done in turning the coil through \(90^{\circ}\) is _______ \(\mu \mathrm{J}\).JEE Mains 2024 Hard
- A block of mass \(m\), lying on a smooth horizontal surface, is attached to a spring (of negligible mass) of spring constant \(k\). The other end of the spring is fixed, as shown in the figure. The block is initially at rest in a equilibrium position. If now the block is pulled with a constant force \(F\), the maximum speed of the block is
JEE Mains 2019 Hard - The velocity of a particle is given as \(\vec{v} = -x\hat{i} + 2y\hat{j} - z\hat{k}\) m/s. The magnitude of acceleration at point \((1, 2, 4)\) is _______ m/s\(^2\).JEE Mains 2026 Hard
- A compound microscope consists of an objective lens of focal length \(1 \,cm\) and an eye piece of focal length \(5 \,cm\) with a separation of \(10 \,cm\) The distance between an object and the objective lens, at which the strain on the eye is minimum is \(\frac{ n }{40}\, cm .\) The value of \(n\) is\(....\)JEE Mains 2020 Medium
- An insulating thin rod of length \(l\) has a linear charge density \(\rho \left( x \right) = {\rho _0}\,\frac{x}{l}\) on it. The rod is rotated about an axis passing through the origin \((x = 0)\) and perpendicular to the rod. If the rod makes \(n\) rotations per second, then the time averaged magnetic moment of the rod isJEE Mains 2019 Hard
- Moment of inertia of a body about a given axis is \(1.5\, kg\, m^2\) Initially the body is at rest. In order to produce a rotational kinetic energy of \(1200\, J\), the angular acceleration of \(20\, rad/s^2\) must be applied about the axis of rotation for a duration of ......... \(\sec\).JEE Mains 2019 Medium
More PYQs from JEE Mains
- This question has Statement \(-1\) and Statement \(-2\) Of the four choices given after the Statements, choose the one that best describes the two Statements Statement \(1\) : No work is required to be done to move a test charge between any two points on an equipotential surface Statement \(2\) : Electric lines of force at the equipotential surfaces are mutually perpendicular to each otherJEE Mains 2013 Hard
- A radioactive sample has an average life of \(30\, {ms}\) and is decaying. A capacitor of capacitance \(200\, \mu\, {F}\) is first charged and later connected with resistor \(^{\prime}{R}^{\prime}\). If the ratio of charge on capacitor to the activity of radioactive sample is fixed with respect to time then the value of \(^{\prime}R^{\prime}\) should be \(....\,\Omega\)JEE Mains 2021 Hard
- A screw gauge of pitch \(0.5\,mm\) is used to measure the diameter of uniform wire of length \(6.8\,cm\), the main scale reading is \(1.5\,mm\) and circular scale reading is \(7\). The calculated curved surface area of wire to appropriate significant figures is \(......cm^2\) . [Screw gauge has \(50\) divisions on the circular scale]JEE Mains 2022 Hard
- A body is performing simple harmonic with an amplitude of \(10 \,cm\). The velocity of the body was tripled by air Jet when it is at \(5 \,cm\) from its mean position. The new amplitude of vibration is \(\sqrt{ x } \,cm\). The value of \(x\) is________JEE Mains 2022 Hard
- A convex lens is made from glass material having refractive index of \(1.4\) with same radius of curvature on both sides. The ratio of its focal length and radius of curvature is ______.JEE Mains 2026 Medium
- A body having specific charge \(8\,\mu {C} / {g}\) is resting on a frictionless plane at a distance \(10\, {cm}\) from the wall (as shown in the figure). It starts moving towards the wall when a uniform electric field of \(100 \,{V} / {m}\) is applied horizontally toward the wall. If the collision of the body with the wall is perfectly elastic, then the time period of the motion will be \(....\, S.\)
JEE Mains 2021 Hard