1
JEE Main 2023 (Online) 24th January Morning Shift
+4
-1

Match List I with List II

List-I
List-II
A. Planck's constant (h) I. $$\mathrm{[{M^1}\,{L^2}\,{T^{ - 2}}]}$$
B. Stopping potential (Vs) II. $$\mathrm{[{M^1}\,{L^1}\,{T^{ - 1}}]}$$
C. Work function ($$\phi$$) III. $$\mathrm{[{M^1}\,{L^2}\,{T^{ - 1}}]}$$
D. Momentum (p) IV. $$\mathrm{[{M^1}\,{L^2}\,{T^{ - 3}}\,{A^{ - 1}}]}$$

Choose the correct answer from the options given below :

A
A-I, B-III, C-IV, D-II
B
A-III, B-IV, C-I, D-II
C
A-II, B-IV, C-III, D-I
D
A-III, B-I, C-II, D-IV
2
JEE Main 2022 (Online) 29th July Evening Shift
+4
-1

Match List I with List II.

List I List II
A. Torque I. Nms$$^{ - 1}$$
B. Stress II. J kg$$^{ - 1}$$
C. Latent Heat III. Nm
D. Power IV. Nm$$^{ - 2}$$

Choose the correct answer from the options given below :

A
A-III, B-II, C-I, D-IV
B
A-III, B-IV, C-II, D-I
C
A-IV, B-I, C-III, D-II
D
A-II, B-III, C-I, D-IV
3
JEE Main 2022 (Online) 29th July Morning Shift
+4
-1

Given below are two statements : One is labelled as Assertion (A) and other is labelled as Reason (R).

Assertion (A) : Time period of oscillation of a liquid drop depends on surface tension (S), if density of the liquid is $$\rho$$ and radius of the drop is r, then $$\mathrm{T}=\mathrm{K} \sqrt{\rho \mathrm{r}^{3} / \mathrm{S}^{3 / 2}}$$ is dimensionally correct, where K is dimensionless.

Reason (R) : Using dimensional analysis we get R.H.S. having different dimension than that of time period.

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

A
Both (A) and (R) are true and (R) is the correct explanation of (A)
B
Both (A) and (R) are true but (R) is not the correct explanation of (A)
C
(A) is true but (R) is false
D
(A) is false but (R) is true
4
JEE Main 2022 (Online) 29th July Morning Shift
+4
-1

A travelling microscope has 20 divisions per $$\mathrm{cm}$$ on the main scale while its vernier scale has total 50 divisions and 25 vernier scale divisions are equal to 24 main scale divisions, what is the least count of the travelling microscope?

A
0.001 cm
B
0.002 mm
C
0.002 cm
D
0.005 cm
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