The number of protons, neutrons, and electrons in  \( _{71}^{175}Lu\) respectively, are:

1.  104, 71 and 71

2.  71, 71 and 104

3.  175, 104 and 71

4.  71, 104 and 71

Assertion: The spectrum of ${\mathrm{He}}^{+}$ is expected to be similar to that of hydrogen

Reason: He⁺ is also a one-electron system.

1. If both assertion and reason are true and the reason is the correct explanation of assertion.

2. If both assertion and reason are true but the reason is not the correct explanation of assertion.

3. If the assertion is true but the reason is false

4. If both assertion and reason are false

For d-electron, the orbital angular momentum is

1. $\frac{\sqrt{2}h}{2\mathrm{\pi }}$

2. $\frac{\sqrt{2h}}{2\mathrm{\pi }}$

3. $\frac{\sqrt{2\times 4}h}{2\mathrm{\pi }}$

4. $\frac{\sqrt{6}h}{2\mathrm{\pi }}$

Assertion: The number of radials and angular nodes for 3p orbital is 1, 1 respectively.

Reason: The number of radials and angular nodes depends only on the principal quantum number.

1. both assertion and reason are true and the reason is the correct explanation of assertion.

2. both assertion and reason are true but the reason is not the correct explanation of
assertion.

3. assertion is true but the reason is false

4. both assertion and reason are false

Electron density in the yz plane of 3d_xy orbital is

1. zero 

2. 0.50 

3. 0.75 

4. 0.90

A macroscopic particle of mass 100 g and moving at a velocity of 100 cm s–1 will
have a de Broglie wavelength of

1. 6.6 × 10^–29 cm 

2. 6.6 × 10^–30 cm 

3. 6.6 × 10^–31 cm 

4. 6.6 × 10^–32 cm

Which of the following does not represent the mathematical expression for the Heisenberg uncertainty principle? 

1. $∆x.∆p\ge \frac{h}{4\mathrm{\pi }}$

2. $∆x.∆v\ge \frac{h}{4\mathrm{\pi m}}$

3. $∆E.∆t\ge \frac{h}{4\mathrm{\pi }}$

4. $∆E.∆x\ge \frac{h}{4\mathrm{\pi }}$

The wavelength associatedd with a golf ball weighing 200 g and moving at a speed of 5 m/h is of the order:

(1) ${10}^{-10} m$

(2) ${10}^{-20} m$

(3) ${10}^{-30} m$

(4) ${10}^{-40} m$

The energy of an electron in the first Bohr's orbit of an H-atom is -13.6 eV. The possible energy value (s) of the excited state(s) for electrons in Bohr's orbits of hydrogen is (are):

1. -3.4 eV

2. -4.2 eV

3. -6.8 eV

4. +6.8 eV

In Bohr series of lines of hydrogen spectrum, the third line from the red end corresponds to which one of the following inter orbit jumps of the electron for Bohr's orbits in an atom of hydrogen?

(1) $3\to 2$

(2) $5\to 2$

(3) $4\to 1$

(4) $2\to 5$