1
MHT CET 2024 15th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

Two progressive waves $Y_1=\sin 2 \pi\left(\frac{t}{0 \cdot 4}-\frac{x}{4}\right)$ and $Y_2=\sin 2 \pi\left(\frac{t}{0 \cdot 4}+\frac{x}{4}\right)$ superpose to form a standing wave. ' $x$ ' and ' $y$ ' are in SI system. Amplitude of the particle at $x=0.5 \mathrm{~m}$ is $\left[\sin 45^{\circ}=\cos 45^{\circ}=\frac{1}{\sqrt{2}}\right]$

A
$\sqrt{3} \mathrm{~m}$
B
$3 \sqrt{3} \mathrm{~m}$
C
$\sqrt{2} \mathrm{~m}$
D
$2 \sqrt{2} \mathrm{~m}$
2
MHT CET 2024 15th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

The strength of magnetic field at a perpendicular distance ' $x$ ' near a long straight conductor carrying current ' I ' is ' B '. The magnetic field at a distance $\frac{x}{3}$ from straight conductor will be

A
$\frac{\mathrm{B}}{3}$
B
 3 B
C
$\frac{\mathrm{B}^2}{9}$
D
$9 \mathrm{~B}^2$
3
MHT CET 2024 15th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

The ratio of the areas of the electron orbits for the second excited state to the first excited state for the hydrogen atom is

A
$3: 2$
B
$9: 4$
C
$16: 81$
D
$81: 16$
4
MHT CET 2024 15th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

Two point charges $+8 q$ and $-2 q$ are located at $\mathrm{X}=0$ (origin) and $\mathrm{X}=\mathrm{L}$ respectively. The net electric field due to these two charges is zero at point $P$ on $X$-axis. The location of point $P$ from the origin is

A
$\frac{L}{4}$
B
2L
C
4L
D
8L
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