1
JEE Main 2025 (Online) 24th January Morning Shift
MCQ (Single Correct Answer)
+4
-1

A car of mass ' $m$ ' moves on a banked road having radius ' $r$ ' and banking angle $\theta$. To avoid slipping from banked road, the maximum permissible speed of the car is $v_0$. The coefficient of friction $\mu$ between the wheels of the car and the banked road is

A
$\mu=\frac{v_0^2+r g \tan \theta}{r g+v_0^2 \tan \theta}$
B
$\mu=\frac{v_0^2-r g \tan \theta}{\mathrm{rg}-\mathrm{v}_{\mathrm{o}}^2 \tan \theta}$
C
$\mu=\frac{v_0^2-r g \tan \theta}{r g+v_0^2 \tan \theta}$
D
$\mu=\frac{v_o^2+r g \tan \theta}{r g-v_o^2 \tan \theta}$
2
JEE Main 2025 (Online) 24th January Morning Shift
MCQ (Single Correct Answer)
+4
-1
During the transition of electron from state A to state C of a Bohr atom, the wavelength of emitted radiation is $2000 \mathop A\limits^o$ and it becomes $6000 \mathop A\limits^o$ when the electron jumps from state B to state C. Then the wavelength of the radiation emitted during the transition of electrons from state A to state B is
A
$4000 \mathop A\limits^o$
B
$6000 \mathop A\limits^o$
C
$2000 \mathop A\limits^o$
D
$3000 \mathop A\limits^o$
3
JEE Main 2025 (Online) 24th January Morning Shift
MCQ (Single Correct Answer)
+4
-1
A satellite is launched into a circular orbit of radius ' R ' around the earth. A second satellite is launched into an orbit of radius 1.03 R . The time period of revolution of the second satellite is larger than the first one approximately by
A
$3 \%$
B
$2.5 \%$
C
$4.5 \%$
D
$9 \%$
4
JEE Main 2025 (Online) 24th January Morning Shift
MCQ (Single Correct Answer)
+4
-1
A particle is executing simple harmonic motion with time period 2 s and amplitude 1 cm . If D and d are the total distance and displacement covered by the particle in 12.5 s , then $\frac{\mathrm{D}}{\mathrm{d}}$ is
A
$10$
B
$\frac{16}{5}$
C
$25$
D
$\frac{15}{4}$
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