Given below are two statements : Statement (I) : The dimensions o… - Vidyadip

MCQ

Given below are two statements :
Statement (I) : The dimensions of Planck's constant and angular momentum are same.
Statement (II) : In Bohr's model electron revolve around the nucleus only in those orbits for which angular momentum is integral multiple of Planck's constant.
In the light of the above statements, choose the most appropriate answer from the options given below :

A
Both Statement I and Statement II are correct
B
Statement I is incorrect but Statement II is correct
✓
Statement I is correct but Statement II is incorrect
D
Both Statement I and Statement II are incorrect

✓

Answer

Correct option: C.

Statement I is correct but Statement II is incorrect

(C) Statement I is correct but Statement II is incorrect
$E = hf$
$ML^2 T^{-2}=[h] \times\left[T^{-1}\right] $
${[h]=\left[ML^2 T^{-1}\right]} $
$L=[MVR]=\left[ML^2 T^{-1}\right] $
$L=\frac{nh}{2 \pi}$
L is integral multiple of $\frac{ h }{2 \pi}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "SECTION - A [PHYSICS MCQ]" from JEE Main 4-April-2025 Paper - Shift 2→JEE Main 4-April-2025 Paper - Shift 2 — all question types→JEE STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

A solid cylinder is released from rest from the top of an inclined plane of inclination $30^{\circ}$ and length $60\,cm$. If the cylinder rolls without slipping, its speed upon reaching the bottom of the inclined plane is $...........ms ^{-1}$. (Given $g =10\,ms ^{-2}$)

Match List$- I$ with List$- II.$

$[Image]$

Choose the correct answer from the options given below :

An ammeter of $100$ $\Omega$ resistance gives full deflection for the current of $10^{-5} \,amp$. Now the shunt resistance required to convert it into ammeter of $1\, amp$. range, will be

A coil of resistance $400 \,\,\Omega$ is placed in a magnetic field. If the magnetic flux $\phi\;(Wb)$ linked with the coil varies with time $t\;(sec)$ as $\phi = 50t^2 +4.$ The current in the coil at $t = 2$ $sec$ is.....$ A$

If the length of potentiometer wire is increased, then the length of the previously obtained balance point will

The pitch and the number of divisions, on the circular scale, for a given screw gauge are $0.5\,mm$ and $100$ respectively. When the screw gauge is fully tightened without any object, the zero of its circular scale lies $3$ divisions below the mean line. The readings of the main scale and the circular scale for a thin sheet, are $5.5\,mm$ and $48$ respectively, the thickness of this sheet is

In the given circuit, value of $Y$ is

A conductor of length $l$ and mass $m$ can slide along a pair of vertical metal guides connected by a resistance $R,$ as shown in fig. Friction, resistance of conductor and guide rails are negligible. There exist a horizontal uniform magnetic field of strength $B$ normal to the plane of the page and is directed outward. The terminal speed of fall under the unfluence of gravity is, then :-

A shell having a hole of radius $r$ is dipped in water. It holds the water upto a depth of $h$ then the value of $r$ is

At what height above the surface of earth the value of $"g"$ decreases by $2 \%$ ..... $km$ [radius of the earth is $6400 \,km$ ]