1
JEE Main 2025 (Online) 2nd April Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

According to Bohr's model of hydrogen atom, which of the following statement is incorrect?

A
Radius of $4^{\text {th }}$ orbit is four times larger than that of $2^{\text {nd }}$ orbit
B
Radius of $8^{\text {th }}$ orbit is four times larger than that of $4^{\text {th }}$ orbit
C
Radius of $6^{\text {th }}$ orbit is three times larger than that of $4^{\text {th }}$ orbit
D
Radius of $3^{\text {rd }}$ orbit is nine times larger than that of $1^{\text {st }}$ orbit
2
JEE Main 2025 (Online) 29th January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

For hydrogen like species, which of the following graphs provides the most appropriate representation of E vs Z plot for a constant n?

[E : Energy of the stationary state, Z : atomic number, n = principal quantum number]

A
JEE Main 2025 (Online) 29th January Evening Shift Chemistry - Structure of Atom Question 21 English Option 1
B
JEE Main 2025 (Online) 29th January Evening Shift Chemistry - Structure of Atom Question 21 English Option 2
C
JEE Main 2025 (Online) 29th January Evening Shift Chemistry - Structure of Atom Question 21 English Option 3
D
JEE Main 2025 (Online) 29th January Evening Shift Chemistry - Structure of Atom Question 21 English Option 4
3
JEE Main 2025 (Online) 29th January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Given below are two statements :

Statement (I): It is impossible to specify simultaneously with arbitrary precision, both the linear momentum and the position of a particle.

Statement (II) : If the uncertainty in the measurement of position and uncertainty in measurement of momentum are equal for an electron, then the uncertainty in the measurement of velocity is $\geqslant \sqrt{\frac{h}{\pi}} \times \frac{1}{2 m}$.

In the light of the above statements, choose the correct answer from the options given below :

A

Statement I is false but Statement II is true

B

Both Statement I and Statement II are true

C

Both Statement I and Statement II are false

D

Statement I is true but Statement II is false

4
JEE Main 2025 (Online) 29th January Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

If $a$0 is denoted as the Bohr radius of hydrogen atom, then what is the de-Broglie wavelength (λ) of the electron present in the second orbit of hydrogen atom? [n : any integer]

A

$\frac{8 \pi a_0}{n}$

B

$\frac{2 a_0}{n \pi}$

C

$\frac{n a_0}{4 \pi}$

D

$\frac{4 \pi a_0}{n}$

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