NTA JEE Main 28th June 2022 Shift 1
For the following questions answer them individually
NTA JEE Main 28th June 2022 Shift 1 - Question 1
Reason: Coefficient of viscosity = $$\frac{\text{Force}}{\text{Velocity gradient}}$$
NTA JEE Main 28th June 2022 Shift 1 - Question 2
Motion of a particle in $$x-y$$ plane is described by a set of following equations $$x = 4\sin\left(\frac{\pi}{2} - \omega t\right)$$ m and $$y = 4\sin(\omega t)$$ m. The path of the particle will be
NTA JEE Main 28th June 2022 Shift 1 - Question 3
A particle of mass $$m$$ is moving in a circular path of constant radius $$r$$ such that its centripetal acceleration $$a_c$$ is varying with time $$t$$ as $$a_c = k^2rt^2$$, where $$k$$ is a constant. The power delivered to the particle by the force acting on it is
NTA JEE Main 28th June 2022 Shift 1 - Question 4
Match List-I with List-II
| List-I | List-II |
|---|---|
| (A) M.I. of solid sphere of radius R about any tangent. | (I) $$\frac{5}{3}MR^2$$ |
| (B) M.I. of hollow sphere of radius R about any tangent. | (II) $$\frac{7}{5}MR^2$$ |
| (C) M.I. of circular ring of radius R about its diameter. | (III) $$\frac{1}{4}MR^2$$ |
| (D) M.I. of circular disc of radius R about any diameter. | (IV) $$\frac{1}{2}MR^2$$ |
NTA JEE Main 28th June 2022 Shift 1 - Question 5
Two planets $$A$$ and $$B$$ of equal mass are having their period of revolutions $$T_A$$ and $$T_B$$ such that $$T_A = 2T_B$$. These planets are revolving in the circular orbits of radii $$r_A$$ and $$r_B$$ respectively. Which out of the following would be the correct relationship of their orbits?
NTA JEE Main 28th June 2022 Shift 1 - Question 6
A water drop of diameter $$2$$ cm is broken into $$64$$ equal droplets. The surface tension of water is $$0.075$$ N m$$^{-1}$$. In this process the gain in surface energy will be
NTA JEE Main 28th June 2022 Shift 1 - Question 7
Statement - II : In the above case, when work is done on the gas, the temperature of the gas would rise.
NTA JEE Main 28th June 2022 Shift 1 - Question 8
A radar sends an electromagnetic signal of electric field $$(E_0) = 2.25$$ V m$$^{-1}$$ and magnetic field $$(B_0) = 1.5 \times 10^{-8}$$ T which strikes a target on line of sight at a distance of $$3$$ km in a medium. After that, a part of signal (echo) reflects back towards the radar with same velocity and by same path. If the signal was transmitted at time $$t = 0$$ from radar, then after how much time echo will reach to the radar?
NTA JEE Main 28th June 2022 Shift 1 - Question 9
The velocity of sound in a gas, in which two wavelengths $$4.08$$ m and $$4.16$$ m produce $$40$$ beats in $$12$$ s, will be
NTA JEE Main 28th June 2022 Shift 1 - Question 10
Statement-II : An electric dipole is placed in a uniform electric field. The net electric force on the dipole will not be zero.
