1
JEE Main 2022 (Online) 26th June Morning Shift
+4
-1

An electron with speed v and a photon with speed c have the same de-Broglie wavelength. If the kinetic energy and momentum of electron are Ee and pe and that of photon are Eph and pph respectively. Which of the following is correct?

A
$${{{E_e}} \over {{E_{ph}}}} = {{2c} \over v}$$
B
$${{{E_e}} \over {{E_{ph}}}} = {v \over {2c}}$$
C
$${{{p_e}} \over {{p_{ph}}}} = {{2c} \over v}$$
D
$${{{p_e}} \over {{p_{ph}}}} = {v \over {2c}}$$
2
JEE Main 2022 (Online) 25th June Evening Shift
+4
-1

A proton, a neutron, an electron and an $$\alpha$$ particle have same energy. If $$\lambda$$p, $$\lambda$$n, $$\lambda$$e and $$\lambda$$a are the de Broglie's wavelengths of proton, neutron, electron and $$\alpha$$ particle respectively, then choose the correct relation from the following:

A
$$\lambda$$p = $$\lambda$$n > $$\lambda$$e > $$\lambda$$a
B
$$\lambda$$a < $$\lambda$$n < $$\lambda$$p < $$\lambda$$e
C
$$\lambda$$e < $$\lambda$$p = $$\lambda$$n > $$\lambda$$a
D
$$\lambda$$e = $$\lambda$$p = $$\lambda$$n = $$\lambda$$a
3
JEE Main 2022 (Online) 25th June Evening Shift
+4
-1

Which of the following figure represents the variation of $${l_n}\left( {{R \over {{R_0}}}} \right)$$ with $${l_n}A$$ (if R = radius of a nucleus and A = its mass number)

A
B
C
D
4
JEE Main 2022 (Online) 25th June Morning Shift
+4
-1

The ratio for the speed of the electron in the 3rd orbit of He+ to the speed of the electron in the 3rd orbit of hydrogen atom will be :

A
1 : 1
B
1 : 2
C
4 : 1
D
2 : 1
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