A force F is given by F = at + bt2, where t is time. What are the dimensions of a and b:

(1) MLT3 and ML2T4

(2) MLT3 and MLT4

(3) MLT1 and MLT0

(4) MLT4 and MLT1

Subtopic:  Dimensions |
 79%
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 dimensions of the interatomic force constant are:

(1) MT2

(2) MLT1

(3) MLT2

(4) ML1T1

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

If the speed of light (c), acceleration due to gravity (g) and pressure (p) are taken as the fundamental quantities, then the dimension of gravitational constant is 

(1) c2g0p2

(2) c0g2p1

(3) cg3p2

(4) c1g0p1

Subtopic:  Dimensions |
 71%
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 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