1
JEE Main 2022 (Online) 26th June Evening Shift
+4
-1 Which is the correct ascending order of wavelengths?

A
$$\lambda$$visible < $$\lambda$$X-ray < $$\lambda$$gamma-ray < $$\lambda$$microwave
B
$$\lambda$$gamma-ray < $$\lambda$$X-ray < $$\lambda$$visible < $$\lambda$$microwave
C
$$\lambda$$X-ray < $$\lambda$$gamma-ray < $$\lambda$$visible < $$\lambda$$microwave
D
$$\lambda$$microwave < $$\lambda$$visible < $$\lambda$$gamma-ray < $$\lambda$$X-ray
2
JEE Main 2022 (Online) 26th June Evening Shift
+4
-1 A radioactive nucleus can decay by two different processes. Half-life for the first process is 3.0 hours while it is 4.5 hours for the second process. The effective half-life of the nucleus will be:

A
3.75 hours
B
0.56 hours
C
0.26 hours
D
1.80 hours
3
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
$${{{p_e}} \over {{p_{ph}}}} = {v \over {2c}}$$
4
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
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