NTA JEE Mains 29th Jan 2025 Shift 1

Two projectiles are fired with same initial speed from same point on ground at angles of $$(45^{\circ}-\alpha)$$ and$$ (45^{\circ}+\alpha)$$, respectively, with the horizontal direction. The ratio of their maximum heights attained is :

If $$\lambda$$ and $$K$$ are de Broglie wavelength and kinetic energy, respectively, of a particle with constant mass. The correct graphical representation for the particle will be

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : Emission of electrons in photoelectric effect can be suppressed by applying a sufficiently negative electron potential to the photoemissive substance. Reason (R) : A negative electric potential, which stops the emission of electrons from the surface of a photoemissive substance, varies linearly with frequency of incident radiation. In the light of the above statements, choose the most appropriate answer from the options given below :

Consider a long straight wire of a circular cross-section (radius a) carrying a steady current I. The current is uniformly distributed across this cross-section. The distances from the centre of the wire's cross-section at which the magnetic field [inside the wire, outside the wire] is half of the maximum possible magnetic field, any where due to the wire, will be

At the interface between two materials having refractive indices $$n_{1}$$ and $$n_{2}$$, the critical angle for reflection of an em wave is $$\theta_{1C}$$. The $$n_{2}$$ material is replaced by another material having refractive index $$n_{3}$$ such that the critical angle at the interface between $$n_{1}$$ and $$n_{3}$$ materials is $$\theta_{2C}$$. If $$n_{3} > n_{2} > n_{1};\frac{n_{2}}{n_{3}}=\frac{2}{5}$$ and $$\sin \theta_{2C}-\sin \theta_{1C}=\frac{1}{2}$$, then $$\theta_{1C}$$ is

Let u and $$\upsilon$$ be the distances of the object and the image from a lens of focal length $$f$$. The correct graphical representation of U and $$\upsilon$$ for a convex lens when $$|u| >$$, is

Choose the correct answer from the options given below :

For the circuit shown above, equivalent GATE is :

The expression given below shows the variation of velocity $$(\upsilon)$$ with time $$(t),\upsilon = At^{2}+\frac{Bt}{C+t}$$. The dimension of ABC is :

The workdone in an adiabatic change in an ideal gas depends upon only :