If the time period (T) of vibration of a liquid drop depends on surface tension (S), radius (r) of the drop and density (ρ) of the liquid, then the expression of T is 

(1) T=kρr3/S

(2) T=kρ1/2r3/S

(3) T=kρr3/S1/2

(4) None of these

Subtopic:  Dimensions |
 65%
From NCERT
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
Links
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

ML3T1Qis dimension of 

(1) Resistivity

(2) Conductivity

(3) Resistance

(4) None of these

Subtopic:  Dimensions |
 56%
From NCERT
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
Links
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

The fundamental physical quantities that have same dimensions in the dimensional formulae of torque and angular momentum are 

(1) Mass, time

(2) Time, length

(3) Mass, length

(4) Time, mole

Subtopic:  Dimensions |
 77%
From NCERT
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
Links
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

If pressure P, velocity V and time T are taken as fundamental physical quantities, the dimensional formula of force is  

(1) PV2T2

(2) P1V2T2

(3) PVT2

(4) P1VT2

Subtopic:  Dimensions |
 75%
From NCERT
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
Links
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

The physical quantity which has dimensional formula as that of EnergyMass×Lengthis 

(1) Force

(2) Power

(3) Pressure

(4) Acceleration

Subtopic:  Dimensions |
 80%
From NCERT
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
Links
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

If energy (E), velocity (v) and force (F) be taken as fundamental quantity, then what are the dimensions of mass 

(1) Ev2

(2) Ev-2

(3) Fv1

(4) Fv2

Subtopic:  Dimensions |
 76%
From NCERT
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
Links
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

A physical quantity x depends on quantities y and z as follows: x = Ay + BtanCz, where A, B and C are constants. Which of the following do not have the same dimensions? 

(1) x and B

(2) C and z–1

(3) y and B/A

(4) x and A

Subtopic:  Dimensions |
From NCERT
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
Links
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

Which of the following pair does not have similar dimensions  

(1) Stress and pressure

(2) Angle and strain

(3) Tension and surface tension

(4) Planck's constant and angular momentum

Subtopic:  Dimensions |
 64%
From NCERT
AIIMS - 2001
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
Links
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

Out of the following which pair of quantities do not have the same dimensions?

(1) Planck's constant and angular momentum

(2) Work and energy

(3) Pressure and Young's modulus

(4) Torque & moment of inertia

Subtopic:  Dimensions |
 77%
From NCERT
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
Links
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh

Identify the pair which has different dimensions:

(1) Planck's constant and angular momentum

(2) Impulse and linear momentum

(3) Angular momentum and frequency

(4) Pressure and Young's modulus

Subtopic:  Dimensions |
 80%
From NCERT
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh
Hints
Links
To view explanation, please take trial in the course.
NEET 2023 - Target Batch - Aryan Raj Singh