1
AP EAPCET 2024 - 18th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
A current carrying coil experiences a torque due to a magnetic field. The value of the torque is $80 \%$ of the maximum possible torque. The angle between the magnetic field and the normal to the plane of the coil is
A
$30^{\circ}$
B
$45^{\circ}$
C
$\tan ^{-1}\left(\frac{3}{4}\right)$
D
$\tan ^{-1}\left(\frac{4}{3}\right)$
2
AP EAPCET 2024 - 18th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
An electron in moving with a velocity $\left[\mathbf{i}+3 \hat{\mathbf{j}} \mathrm{~ms}^{-1}\right.$ in an electric field $(\hat{\mathbf{i}}+6 \hat{\mathbf{j}}+2 \hat{\mathbf{k}}) \mathrm{Vm}^{-1}$ and a magnetic field of $(\Omega \mathbf{j}+3 \mathbf{k})$ T. Then, the magnitude and direction (with $X$-axis) of the Lorentz force acting on the electron is
A
$96 \times 10^{-11} \mathrm{~N}, 8=\cos ^{-1}\left(\frac{2}{\sqrt{5}}\right)$
B
$96 \times 10^{-19} \mathrm{~N}, \theta=\cos ^{-1}\left(\frac{5}{\sqrt{2}}\right)$
C
$215 \times 10^{-18} \mathrm{~N}, . \theta=\cos ^{-1}\left(\frac{2}{\sqrt{5}}\right)$
D
$2.15 \times 10^{-14} \mathrm{~N}, \theta=\cos ^{-1}\left(\frac{5}{\sqrt{2}}\right)$
3
AP EAPCET 2022 - 5th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

An electron having kinetic energy of 100 eV circulates in a path of radius 10 cm in a magnetic field. The magnitude of magnetic field $$|\mathbf{B}|$$ is approximately [Mass of electron $$=0.5 \mathrm{~MeV} \mathrm{c}^{-2}$$, where c is the velocity of light].

A
$$3.3 \times 10^{-4} \mathrm{~T}$$
B
$$2.6 \times 10^{-4} \mathrm{~T}$$
C
$$1.70 \times 10^{-4} \mathrm{~T}$$
D
$$4.3 \times 10^{-4} \mathrm{~T}$$
4
AP EAPCET 2022 - 5th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

A particle of mass $$2.2 \times 10^{-30} \mathrm{~kg}$$ and charge $$1.6 \times 10^{-19} \mathrm{C}$$ is moving at a speed of $$10 \mathrm{~km} \mathrm{~s}^{-1}$$ in a circular path of radius 2.8 cm inside a solenoid. The solenoid has $$25 \frac{\text { turns }}{\mathrm{cm}}$$ and its magnetic field is perpendicular to the plane of the particle's path. The current in the solenoid is

(Take, $$\mu_0=4 \pi \times 10^{-7} \mathrm{~Hm}^{-1}$$)

A
1.25 mA
B
10.20 mA
C
2.50 mA
D
1.56 mA
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