1
JEE Main 2019 (Online) 12th January Evening Slot
+4
-1
In a radioactive decay chain, the initial nucleus is $${}_{90}^{232}$$Th. At the end there are 6 $$\alpha$$-particles and 4 $$\beta$$-particles which are emitted. If the end nucleus is $${}_Z^A$$X, A and Z are given by :
A
A = 208; Z = 80
B
A = 208; Z = 82
C
A = 200; Z = 81
D
A = 202; Z = 80
2
JEE Main 2019 (Online) 12th January Morning Slot
+4
-1
A particle of mass m moves in a circular orbit in a central potential field U(r) = $${1 \over 2}$$ kr2. If Bohr 's quantization conditions are applied, radii of possible orbitls and energy levels vary with quantum number n as :
A
rn $$\propto$$ $$\sqrt n$$, En $$\propto$$ n
B
rn $$\propto$$ $$\sqrt n$$, En $$\propto$$ $${1 \over n}$$
C
rn $$\propto$$ n, En $$\propto$$ n
D
rn $$\propto$$ n2, En $$\propto$$ $${1 \over {{n^2}}}$$
3
JEE Main 2019 (Online) 11th January Evening Slot
+4
-1
In a hydrogen like atom, when an electron jumps from the M-shell to the L-shell, the wavelength of emitted radiation is $$\lambda$$. If an electron jumps from N-shell to the L-shell, the wavelength of emitted radiation will be:
A
$${{25} \over {16}}$$ $$\lambda$$
B
$${{27} \over {20}}$$ $$\lambda$$
C
$${{16} \over {25}}$$ $$\lambda$$
D
$${{20} \over {27}}$$ $$\lambda$$
4
JEE Main 2019 (Online) 11th January Morning Slot
+4
-1
A hydrogen atom, initially in the ground state is excited by absorbing a photon of wavelength 980$$\mathop A\limits^ \circ$$. The radius of the atom in the excited state, in terms of Bohr radius a0 will be : (hc = 12500 eV$$\mathop A\limits^ \circ$$)
A
4a0
B
9a0
C
25a0
D
16a0
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