Q JEE MAIN 2026

Match the LIST-I with LIST-II Choose the correct answer from

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A ball of radius $r$ and density $\rho$ dropped through a viscous liquid of density $\sigma$ and viscosity $\eta$ attains...

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Q JEE MAIN 2026

Match the LIST-I with LIST-II

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Q JEE MAIN 2026

If $\epsilon, E$ and $t$ represent the free space permittivity, electric field and time respectively, then the unit of $...

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Q JEE MAIN 2020

If momentum (P), area (A) and time (T) are taken to be the fundamental quantities then the dimensional formula for...

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Q JEE MAIN 2019

Expression for time in terms of G(universal gravitational constant), h (Planck constant) and c (speed of light) is proportional to:

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Q JEE-MAIN 2019

The least count of the main scale of a screw gauge is 1 mm. The minimum number of divisions on...

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Q JEE MAIN 2019

The force of interaction between two atoms is given by $\mathrm{F}=\alpha \beta \exp \left(-\frac{\mathrm{x}^2}{\alpha \mathrm{kt}}\right)$; where x is the distance,...

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Q JEE MAIN 2019

In the formula $X=5 Y Z^2, X$ and $Z$ have dimensions of capacitance and magnetic field, respectively. What are the...

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Q JEE MAIN 2020

The dimension of stopping potential $V_0$ in photoelectric effect in units of Planck's constant ' $h$ ', speed of light...

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Q JEE-MAIN 2020

The quantities $x=\frac{1}{\sqrt{\mu_0 \varepsilon_0}}, y=\frac{E}{B}$ and $z=\frac{I}{C R}$ are defined where $C$-capacitance, R-Resistance, I-length, E-Electric field, B-magnetic field and $...

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Q JEE MAIN 2020

Dimensional formula for thermal conductivity is (here K deontes the temperature)

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Q JEE MAIN 2021

Expression for time in terms of G(universal gravitational constant), h (Planck constant) and c (speed of light) is proportional to:

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Q JEE MAIN 2020

A quantity x is given by (IFv²/ $\mathrm{WL}^4$ ) in terms of moment of inertia I , force F ,...

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Q JEE-MAIN 2020

Amount of solar energy received on the earth’s surface per unit area per unit time is defined a solar constant....

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Q JEE MAIN 2021

If velocity [V], time [T] and force [F] are chosen as the base quantities, the dimensions of the mass will...

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Q JEE MAIN 2021

If velocity [V], time [T] and force [F] are chosen as the base quantities, the dimensions of the mass will...

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Q JEE-MAIN 2021

If force (F), length (L) and time (T) are taken as the fundamental quantities, Then what will be the dimension...

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Q JEE MAIN 2019

In SI units, the dimensions of $\sqrt{\frac{\epsilon_0}{\mu_0}}$ is:

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Q JEE MAIN 2021

If $E, L, M$ and $G$ denote the quantities as energy, angular momentum, mass and constant of gravitation respectively, then...

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Q JEE MAIN 2021

The entropy of any system is given by $\mathrm{S}=\alpha^2 \beta 1 \mathrm{n}\left[\frac{\mu \mathrm{kR}}{\mathrm{J} \beta^2}+3\right]$ Where $\alpha$ and $\beta$ are the...

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Q JEE MAIN 2019

If Surface tension (S), Moment of Inertia (I) and Planck’s constant (h), were to be taken as the fundamental units,...

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Q JEE MAIN 2021

If time (t), velocity (v), and angular momentum (l) are taken as the fundamental units. Then the dimension of mass...

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Q JEE MAIN 2021

If e is the electronic charge, $c$ is the speed of light in free space and $h$ is Planck's constant,...

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Q JEE MAIN 2021

The workdone by a gas molecule in an isolated system is given by, $\mathrm{W}=\alpha \beta^2 \mathrm{e}^{-\frac{x}{\alpha \mathrm{kT}}}$, where x is...

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Q JEE MAIN 2021

In a typical combustion engine the work done by a gas molecule is given $\mathrm{W}=\alpha^2 \beta e^{\frac{-\beta \mathrm{x}^2}{\mathrm{kT}}}$ where x...

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Q JEE MAIN 2022

Match List I with List II. Choose the correct answer from the options given below :

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Q JEE MAIN 2022

Consider the efficiency of Carnot's engine is given by $\eta=\frac{\alpha \beta}{\sin \theta} \log _{\mathrm{e}} \frac{\beta \mathrm{x}}{\mathrm{kT}}$, where $\alpha$ and $\beta$...

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Q JEE Main 2022

The dimension of $\left(\frac{B^2}{\mu_0}\right)$ will be : (if $\mu_0$; permeability of free space and $B$ : magnetic field)

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Q JEE MAIN 2022

If $t=\sqrt{x}+4$, then $\left(\frac{d x}{d t}\right)_{t-4}$

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Q JEE MAIN 2022

Given below are two statements : One is labeled as Assertion (A) and other is labeled as Reason (R). Assertion...

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Q JEE MAIN 2022

If momentum [P], area [A] and time [T] are taken as fundamental quantities, then the dimensional formula for coefficient of...

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Q JEE MAIN 2022

Velocity (v) and acceleration (a) in two systems of units 1 and 2 are related as $v_2=\frac{n}{m^2} v_1$ and $...

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Q JEE MAIN 2022

The SI unit of a physical quantity is pascal-second. The dimensional formula of this quantity will be

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Q JEE MAIN 2025

Consider two physical quantities A and B related to each other as $\mathrm{E}=\frac{\mathrm{B}-\mathrm{x}^2}{\mathrm{At}}$ where $\mathrm{E}, \mathrm{x}$ and t have dimensions...

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Q JEE MAIN 2024

Match List - I with List - II. Choose the correct answer from the options given below :

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Q JEE MAIN 2024

If mass is written as $\mathrm{m}=\mathrm{kc}^{\mathrm{P}} \mathrm{G}^{-1 / 2} \mathrm{~h}^{1 / 2}$ then the value of P will be :...

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Q JEE MAIN 2023

Match List I with List II

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Q JEE MAIN_2025

Match the LIST-I with LIST-II Choose the correct answer from the options given below:

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Q JEE MAIN 2025

The dimension of $\sqrt{\frac{\mu_0}{\epsilon_0}}$ is equal to that of : ( $\mu_0=$ Vacuum permeability and $\varepsilon_0=$ Vacuum permittivity)

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Q JEE MAIN 2025

In an electromagnetic system, a quantity defined as the ratio of electric dipole moment and magnetic dipole moment has dimension...

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Q JEE MAIN 2025

Match List - I with List - II. Choose the correct answer from the options given below :

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Q JEE MAIN 2025

The unit of $\sqrt{\frac{2 \mathrm{I}}{\epsilon_0 \mathrm{C}}}$ is : $\mathrm{I}=$ intensity of an electromagnetic wave, C : speed of light)

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Q JEE MAIN 2023

In the equation $\left[X+\frac{a}{Y^2}\right][Y-b]=R T, X$ is pressure, $Y$ is volume, $R$ is universal gas constant and $T$ is temperature....

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Q JEE MAIN 2023

If force (F), velocity (V) and time (T) are considered as fundamental physical quantity, then dimensional formula of density will...

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Q JEE MAIN 2023

Match List-I with List-IIMatch List-I with List-II Choose the correct answer from the options given below:

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Q JEE MAIN_2023

The equation of a circle is given by $x^2+y^2=a^2$, where $a$ is the radius. If the equation is modified to...

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Q JEE MAIN 2023

Match List–I with List–II Choose the correct answer from the options given below:

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Q JEE MAIN_2023

The frequency (v) of an oscillating liquid drop may depend upon radius (r) of the drop, density (p) of liquid...

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Q JEE MAIN_2023

Match List I with List II Choose the correct answer from the options given below:

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Q JEE MAIN 2023

The speed of a wave produced in water is given by $v=\lambda^{\mathrm{a}} \mathrm{g}^{\mathrm{b}} \rho^{\mathrm{c}}$. Where $\lambda, \mathrm{g}$ and $\rho$ are...

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Q JEE MAIN 2023

Match List I with List II Choose the correct answer from the options given below:

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Q JEE MAIN 2023

Given below are two statements: Statements I : Astronomical unit (Au). Parsec (Pc) and Light year (ly) are units for...

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Q JEE MAIN 2023

Dimension of $\frac{1}{\mu_0 \epsilon_0}$ should be equal to

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Q JEE MAINS 2024

Match List I with List II

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Q JEE MAIN 2023

Match List I with List II Choose the correct answer from the options given below:

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Q JEE MAINS 2024

A force is represented by $F=a x^2+b t^{1 / 2}$ Where $\mathrm{x}=$ distance and $\mathrm{t}=$ time. The dimensions of $...

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Q JEE MAIN

The dimensional formula of angular impulse is :

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Q JEE MAIN 2024

If G be the gravitational constant and u be the energy density then which of the following quantity have the...

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Q JEE MAIN

10 divisions on the main scale of a Vernier calliper coincide with 11 divisions on the Vernier scale. If each...

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Q JEE MAIN 2024

Match List-I with List-II.

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Q JEE MAIN 2025

Match List - I with List - II.

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Q

If $\mu_{0}$ and $\epsilon_{0}$ are the permeability and permittivity of free space, respectively, then the dimension of $\left(\frac{1}{\mu_{0} \epsilon_{0}}\right)$ is:

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Q JEE MAIN 2025

Given a charge q , current I and permeability of vacuum $\mu_{o}$. Which of the following quantity has the dimension...

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Q JEE MAIN 2024

Given below are two statements : Statement (I) : Planck's constant and angular momentum have same dimensions. Statement (II) :...

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Q JEE MAIN 2025

Match List - I with List - II. Choose the correct answer from the options given below :

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Q JEE MAIN 2025

Match List - I with List - II. Choose the correct answer from the options given below :

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Q JEE MAIN 2025

In an electromagnetic system, the quantity representing the ratio of electric flux and magnetic flux has dimension of ${M^P}{L^Q}{T^R}{A^S}$, where...

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Q JEE MAIN 2025

Three identical spheres of mass m, are placed at the vertices of an equilateral triangle of length a. When released,...

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Q JEE MAIN 2025

Match the LIST-I with LIST-II Choose the correct answer from the options given below:

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Q JEE MAIN 2025

Match List - I with List - II. Choose the correct answer from the options given below :

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Q JEE MAIN 2025

Match List - I with List - II. List - I $\hspace{5cm}$ List - II (A) Coefficient of viscosity $\hspace{2cm}$(I)...

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Q JEE MAIN 2025

The equation for real gas is given by $\left( {P + \frac{a}{{{V^2}}}} \right)(V - b) = RT$, where P, V,...

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Q JEE MAIN 2025

The pair of physical quantities not having same dimensions is :

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Q JEE MAIN 2025

The expression given below shows the variation of velocity $(v)$ with time $({\rm{t}})$, $v = A{t^2} + \frac{{Bt}}{{C + t}}$....

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Q JEE MAIN 2025

In a measurement, it is asked to find modulus of elasticity per unit torque applied on the system. The measured...

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Q JEE MAIN 2025

The electric flux is $\phi =\alpha \sigma +\beta \lambda $ where $\lambda $ and $\sigma$ are linear and surface charge...

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Q JEE MAIN 2025

The position of a particle moving on x -axis is given by $\text{x}(\text{t})=\text{A}\sin \text{t}+\text{B}{{\cos }^{2}}\text{t}+\text{C}{{\text{t}}^{2}}+\text{D}$ , where t is time....

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Q JEE MAIN 2025

Match List - I with List - II.

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Q JEE MAIN 2025

Which one of the following is the correct dimensional formula for the capacitance in F M, L, T and C...

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