NTA JEE Main 2025 April 4th Shift 1

An alternating current is represented by the equation $$i = 100\sqrt{2} \sin(100\pi t)$$ ampere. The RMS value of current and the frequency of the given alternating current are

Consider the sound wave travelling in ideal gases of He, $$CH_4$$, and $$CO_2$$. All the gases have the same ratio $$\dfrac{p}{\rho}$$, where P is the pressure and $$\rho$$ is the density. The ratio of the speed of sound through the gases $$v_{He} : v_{CH_4} : v_{CO_2}$$ is given by

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 value of 'Q' and 'R' are

When an object is placed 40 cm away from a spherical mirror an image of magnification $$\dfrac{1}{2}$$ is produced. To obtain an image with magnification of $$\dfrac{1}{3}$$, the object is to be moved:

Given below are two statements:
Assertion A: In photoelectric effect, on increasing the intensity of incident light the stopping potential increases.
Reason R: Increase in intensity of light increases the rate of photoelectrons emitted, provided the frequency of incident light is greater than threshold frequency.
Choose the correct answer:

If $$\vec{L}$$ and $$\vec{P}$$ represent the angular momentum and linear momentum respectively of a particle of mass 'm' having position vector $$\vec{r} = a(\hat{i}\cos\omega t + \hat{j}\sin\omega t)$$. The direction of force is

A body of mass m is suspended by two strings making angles $$\theta_1$$ and $$\theta_2$$ with the horizontal ceiling with tensions $$T_1$$ and $$T_2$$ simultaneously. $$T_1$$ and $$T_2$$ are related by $$T_1 = \sqrt{3}T_2$$. The angles $$\theta_1$$ and $$\theta_2$$ are

Current passing through a wire as function of time is given as $$I(t) = 0.02t + 0.01$$ A. The charge that will flow through the wire from $$t = 1$$ s to $$t = 2$$ s is:

Given below are two statements:
Assertion A: The kinetic energy needed to project a body of mass m from earth surface to infinity is $$\dfrac{1}{2}mgR$$, where R is the radius of earth.
Reason R: The maximum potential energy of a body is zero when it is projected to infinity from earth surface.
In the light of the above statements, choose the correct answer from the option given below

The Boolean expression $$Y = \overline{A}BC + \overline{A}C$$ can be realised with which of the following gate configurations.
A. One 3-input AND gate, 3 NOT gates and one 2-input OR gate, One 2-input AND gate,
B. One 3-input AND gate, 1 NOT gate, One 2-input NOR gate and one 2-input OR gate
C. 3-input OR gate, 3 NOT gates and one 2-input AND gate
Choose the correct answer: