NTA JEE Main 26th June 2022 Shift 2

The dimension of mutual inductance is

In the arrangement shown in figure $$a_1, a_2, a_3$$ and $$a_4$$ are the accelerations of masses $$m_1, m_2, m_3$$ and $$m_4$$ respectively. Which of the following relation is true for this arrangement?

Arrange the four graphs in descending order of total work done; where $$W_1, W_2, W_3$$ and $$W_4$$ are the work done corresponding to figure a, b, c and d respectively.

A solid spherical ball is rolling on a frictionless horizontal plane surface about its axis of symmetry. The ratio of rotational kinetic energy of the ball to its total kinetic energy is

Given below are two statements. One is labelled as Assertion A and the other is labelled as Reason R.
Assertion A: If we move from poles to equator, the direction of acceleration due to gravity of earth always points towards the center of earth without any variation in its magnitude.
Reason R: At equator, the direction of acceleration due to the gravity is towards the center of earth.
In the light of above statements, choose the correct answer from the options given below

If $$p$$ is the density and $$\eta$$ is coefficient of viscosity of fluid which flows with a speed $$v$$ in the pipe of diameter $$d$$, the correct formula for Reynolds number $$R_e$$ is

A flask contains argon and oxygen in the ratio of $$3 : 2$$ in mass and the mixture is kept at $$27°$$C. The ratio of their average kinetic energy per molecule respectively

For a specific wavelength $$670$$ nm of light coming from a galaxy moving with velocity $$v$$, the observed wavelength is $$670.7$$ nm. The value of $$v$$ is

Sixty four conducting drops each of radius $$0.02$$ m and each carrying a charge of $$5$$ $$\mu$$C are combined to form a bigger drop. The ratio of surface density of bigger drop to the smaller drop will be

The charge on capacitor of capacitance $$15\mu$$F in the figure given below is