If C and L denote capacitance and inductance respectively, then the dimensions of LC are 

(1) M0L0T0

(2) M0L0T2

(3) M2L0T2

(4) MLT2

Subtopic:  Dimensions |
 70%
From NCERT
PMT - 1981
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 quantities has the same dimensions as that of energy?

(1) Power

(2) Force

(3) Momentum

(4) Work

Subtopic:  Dimensions |
 84%
From NCERT
PMT - 1976
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 "time constant" LR during growth and decay of current in all inductive circuit is same as that of  

(1) Constant

(2) Resistance

(3) Current

(4) Time

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

The period of a body under SHM is presented by T=PaDbSc; where P is pressure, D is density and S is surface tension. The value of a, b and c are:

1. 32,12,1

2. 1,2,3

3. 12,32,12

4. 1, 2, 13

Subtopic:  Dimensions |
 60%
From NCERT
PMT - 1981
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 pairs of physical quantities has the same dimensions 

(1) Work and power

(2) Momentum and energy

(3) Force and power

(4) Work and energy

Subtopic:  Dimensions |
 85%
From NCERT
PMT - 1978
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 velocity of a freely falling body changes according to gphq where g is acceleration due to gravity and h is the height. The values of p and q are:

(1) 1, 12

(2) 12, 12

(3) 12, 1

(4) 1, 1

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

Which one of the following does not have the same dimensions

(1) Work and energy

(2) Angle and strain

(3) Relative density and refractive index

(4) Planck constant and energy

Subtopic:  Dimensions |
 74%
From NCERT
PMT - 1985
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 one has the dimensions different from the remaining three

(1) Power

(2) Work

(3) Torque

(4) Energy

Subtopic:  Dimensions |
 79%
From NCERT
PMT - 1988
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 small steel ball of radius r is allowed to fall under gravity through a column of a viscous liquid of coefficient of viscosity η. After some time the velocity of the ball attains a constant value known as terminal velocity vT. The terminal velocity depends on (i) the mass of the ball m, (ii) η, (iii) r and (iv) acceleration due to gravity g. Which of the following relations is dimensionally correct?

1. vTmgηr

2. vTηrmg

3. vTηrmg

4. vTmgrη 

Subtopic:  Dimensions |
 55%
From NCERT
PMT - 1992
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 quantity X=ε0LVt; ε0 is the permittivity of free space, is length, V is the potential difference and t is time. The dimensions of X are the same as that of:

1. Resistance

2. Charge

3. Voltage

4. Current

Subtopic:  Dimensions |
 53%
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