AP EAPCET 2025 24TH MAY MORNING SHIFT

If a force $\mathbf{F}=(3 \hat{\mathbf{i}}-2 \hat{\mathbf{j}}) \mathrm{N}$ acting on a body displaces it from point $(1 \mathrm{~m}, 2 \mathrm{~m})$ to point $(2 \mathrm{~m}, 0 \mathrm{~m})$, then work done by the force is

Two acids $A$ and $B$ are titrated separately, 25 mL of $0.5 \mathrm{M} \mathrm{Na}_2 \mathrm{CO}_3$ solution requires 10 mL of $A$ and 40 mL of $B$ for complete neutralisation. The volume (in L ) of $A$ and $B$ required to produce 1 L of 1 N acid solution respectively are

The number of solutions of the equation $\sqrt{3 x^2+x+5}=x-3$ is

If the range of a body projected with a velocity of $60 \mathrm{~ms}^{-1}$ is $180 \sqrt{3} \mathrm{~m}$, then the angle of projection of the body is

(Acceleration due to gravity $=10 \mathrm{~ms}^{-2}$ )

Which of the following represents the wavelength of spectral line of Balmer series of $\mathrm{He}^{+}$ion?

$(R=$ Rydberg constant, $n>2)$

$$\cos 13^{\circ} \sin 17^{\circ} \sin 21^{\circ} \cos 47^{\circ}=$$