JEE Main 2026 · 5 Apr · Shift 2 · Physics Q26

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PhysicsList match+4 / -1Question 26 of 75

Match List - I with List - II.

where $h$ (Planck's constant), $G$ (gravitational constant) and $c$ (speed of light in vacuum) as fundamental units.

Choose the correct answer from the options given below :

List - I

A
Meter (L)
B
Second (S)
C
Kilogram (M)
D
Kelvin (K)

List - II

I
$\sqrt{\dfrac{hc}G}$
II
$\sqrt{\dfrac{Gh}{c^5}}$
III
$\sqrt{\dfrac{K^2L^2c^3}{Gh}}$
IV
$\sqrt{\dfrac{Gh}{c^3}}$

A-II, B-IV, C-I, D-III

A-IV, B-II, C-I, D-III

A-IV, B-I, C-II, D-III

A-III, B-I, C-II, D-IV

Answer and worked solution

Official answer: B

Planck units from $h$ , $G$ and $c$ :

Length: $\sqrt{\dfrac{Gh}{c^3}}$ (IV).
Time: $\sqrt{\dfrac{Gh}{c^5}}$ (II).
Mass: $\sqrt{\dfrac{hc}G}$ (I).

Temperature. That leaves III for the kelvin. (The Planck temperature is $\sqrt{hc^5/G}/k_B$ ; III is printed in an unusual form, but it is the only remaining entry.)

Match: A-IV, B-II, C-I, D-III.

(B)

Topics:Dimensional analysis

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JEE Main 2026 · 5 Apr · Shift 2, Physics question 26