1
JEE Main 2023 (Online) 1st February Evening Shift
+4
-1

An electron of a hydrogen like atom, having $$Z=4$$, jumps from $$4^{\text {th }}$$ energy state to $$2^{\text {nd }}$$ energy state. The energy released in this process, will be :

(Given Rch = $$13.6~\mathrm{eV}$$)

Where R = Rydberg constant

c = Speed of light in vacuum

h = Planck's constant

A
$$10.5 ~\mathrm{eV}$$
B
$$40.8 ~\mathrm{eV}$$
C
$$13.6 ~\mathrm{eV}$$
D
$$3.4 ~\mathrm{eV}$$
2
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
3
JEE Main 2023 (Online) 1st February Morning Shift
+4
-1

Match List I with List II :

List I List II
A. Microwaves I. Radio active decay of the nucleus
B. Gamma rays II. Rapid acceleration and deceleration of electron in aerials
C. Radio waves III. Inner shell electrons
D. X-rays IV. Klystron valve

Choose the correct answer from the options given below :

A
A-I, B-III, C-IV, D-II
B
A-IV, B-III, C-II, D-I
C
A-IV, B-I, C-II, D-III
D
A-I, B-II, C-III, D-IV
4
JEE Main 2023 (Online) 1st February Morning Shift
+4
-1

The mass of proton, neutron and helium nucleus are respectively $$1.0073~u,1.0087~u$$ and $$4.0015~u$$. The binding energy of helium nucleus is :

A
$$28.4~\mathrm{MeV}$$
B
$$56.8~\mathrm{MeV}$$
C
$$7.1~\mathrm{MeV}$$
D
$$14.2~\mathrm{MeV}$$
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