JEE Main 2023 (Online) 29th January Evening Shift | Units & Measurements Question 42 | Physics

1

JEE Main 2023 (Online) 29th January Evening Shift

MCQ (Single Correct Answer)

+4

-1

The equation of a circle is given by $$x^2+y^2=a^2$$, where a is the radius. If the equation is modified to change the origin other than (0, 0), then find out the correct dimensions of A and B in a new equation : $${(x - At)^2} + {\left( {y - {t \over B}} \right)^2} = {a^2}$$. The dimensions of t is given as $$[\mathrm{T^{-1}]}$$.

A

$$\mathrm{A=[L^{-1}T^{-1}],B=[LT^{-1}]}$$

B

$$\mathrm{A=[L^{-1}T^{-1}],B=[LT]}$$

C

$$\mathrm{A=[LT],B=[L^{-1}T^{-1}]}$$

D

$$\mathrm{A=[L^{-1}T],B=[LT^{-1}]}$$

2

JEE Main 2023 (Online) 29th January Morning Shift

MCQ (Single Correct Answer)

+4

-1

Match List I with List II :

	List I (Physical Quantity)		List II (Dimensional Formula)
A.	Pressure gradient	I.	$$\left[\mathrm{M}^{\circ} \mathrm{L}^{2} \mathrm{~T}^{-2}\right]$$
B.	Energy density	II.	$$\left[\mathrm{M}^{1} \mathrm{L}^{-1} \mathrm{~T}^{-2}\right]$$
C.	Electric Field	III.	$$\left[\mathrm{M}^{1} \mathrm{L}^{-2} \mathrm{~T}^{-2}\right]$$
D.	Latent heat	IV.	$$\left[\mathrm{M}^{1} \mathrm{~L}^{1} \mathrm{~T}^{-3} \mathrm{~A}^{-1}\right]$$

Choose the correct answer from the options given below:

A

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

B

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

C

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

D

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

3

JEE Main 2023 (Online) 25th January Evening Shift

MCQ (Single Correct Answer)

+4

-1

Match List I with List II

	List I		List II
A.	Young's Modulus (Y)	I.	$$\mathrm{[ML^{-1}T^{-1}]}$$
B.	Co-efficient of Viscosity ($$\eta$$)	II.	$$\mathrm{[ML^2T^{-1}]}$$
C.	Planck's Constant (h)	III.	$$\mathrm{[ML^{-1}T^{-2}]}$$
D.	Work function ($$\varphi $$)	IV.	$$\mathrm{[ML^2T^{-2}]}$$

Choose the correct answer from the options given below :

A

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

B

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

C

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

D

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

4

JEE Main 2023 (Online) 24th January Morning Shift

MCQ (Single Correct Answer)

+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