1
JEE Main 2023 (Online) 6th April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The kinetic energy of an electron, $$\alpha$$-particle and a proton are given as $$4 \mathrm{~K}, 2 \mathrm{~K}$$ and $$\mathrm{K}$$ respectively. The de-Broglie wavelength associated with electron $$(\lambda \mathrm{e}), \alpha$$-particle $$((\lambda \alpha)$$ and the proton $$(\lambda p)$$ are as follows:

A
$$\lambda \alpha<\lambda p<\lambda e$$
B
$$\lambda \alpha>\lambda p>\lambda e$$
C
$$\lambda \alpha=\lambda p<\lambda e$$
D
$$\lambda \alpha=\lambda p>\lambda e$$
2
JEE Main 2023 (Online) 6th April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

A monochromatic light wave with wavelength $$\lambda_{1}$$ and frequency $$v_{1}$$ in air enters another medium. If the angle of incidence and angle of refraction at the interface are $$45^{\circ}$$ and $$30^{\circ}$$ respectively, then the wavelength $$\lambda_{2}$$ and frequency $$v_{2}$$ of the refracted wave are:

A
$$\lambda_{2}=\lambda_{1}, v_{2}=\frac{1}{\sqrt{2}} v_{1}$$
B
$$\lambda_{2}=\lambda_{1}, v_{2}=\sqrt{2} v_{1}$$
C
$$\lambda_{2}=\sqrt{2} \lambda_{1}, v_{2}=v_{1}$$
D
$$\lambda_{2}=\frac{1}{\sqrt{2}} \lambda_{1}, v_{2}=v_{1}$$
3
JEE Main 2023 (Online) 6th April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language

By what percentage will the transmission range of a TV tower be affected when the height of the tower is increased by $$21 \%$$ ?

A
12%
B
15%
C
10%
D
14%
4
JEE Main 2023 (Online) 6th April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

A long straight wire of circular cross-section (radius a) is carrying steady current I. The current I is uniformly distributed across this cross-section. The magnetic field is

A
uniform in the region $$r < a$$ and inversely proportional to distance $$r$$ from the axis, in the region $$r > a$$
B
zero in the region $$r < a$$ and inversely proportional to $$r$$ in the region $$r > a$$
C
directly proportional to $$r$$ in the region $$r < a$$ and inversely proportional to $$r$$ in the region $$r > a$$
D
inversely proportional to $$r$$ in the region $$r < a$$ and uniform throughout in the region $$r > a$$
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