1
JEE Main 2023 (Online) 6th April Morning Shift
+4
-1

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) 1st February Evening Shift
+4
-1

The threshold frequency of a metal is $$f_{0}$$. When the light of frequency $$2 f_{0}$$ is incident on the metal plate, the maximum velocity of photoelectrons is $$v_{1}$$. When the frequency of incident radiation is increased to $$5 \mathrm{f}_{0}$$, the maximum velocity of photoelectrons emitted is $$v_{2}$$. The ratio of $$v_{1}$$ to $$v_{2}$$ is :

A
$$\frac{v_{1}}{v_{2}}=\frac{1}{2}$$
B
$$\frac{v_{1}}{v_{2}}=\frac{1}{16}$$
C
$$\frac{v_{1}}{v_{2}}=\frac{1}{4}$$
D
$$\frac{v_{1}}{v_{2}}=\frac{1}{8}$$
3
JEE Main 2023 (Online) 1st February Morning Shift
+4
-1

A proton moving with one tenth of velocity of light has a certain de Broglie wavelength of $$\lambda$$. An alpha particle having certain kinetic energy has the same de-Brogle wavelength $$\lambda$$. The ratio of kinetic energy of proton and that of alpha particle is:

A
1 : 4
B
2 : 1
C
4 : 1
D
1 : 2
4
JEE Main 2023 (Online) 31st January Evening Shift
+4
-1
If the two metals $\mathrm{A}$ and $\mathrm{B}$ are exposed to radiation of wavelength $350 \mathrm{~nm}$. The work functions of metals $\mathrm{A}$ and $\mathrm{B}$ are $4.8 \mathrm{eV}$ and $2.2 \mathrm{eV}$. Then choose the correct option.
A
Metal B will not emit photo-electrons
B
Both metals $\mathrm{A}$ and $\mathrm{B}$ will not emit photo-electrons
C
Metal A will not emit photo-electrons
D
Both metals A and B will emit photo-electrons
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