If E and G respectively denote energy and gravitational constant, then E G EG has the dimensions of: 1. [ M ] [ L 0 ] [ T 0 ] ML0T0 2. [ M 2 ] [ L − 2 ] [ T − 1 ] M2L-2T-1 3. [ M 2 ] [ L − 1 ] [ T 0 ] M2L-1T0 4. [ M ] [ L − 1 ] [ T − 1 ] ML-1T-1

 From NCERT NEET - 2021

 If E and G respectively denote energy and gravitational constant, then 

$\frac{E}{G}$ has the dimensions of:

1. $\left[M\right]\left[L^0\right]\left[T^0\right]$

2. $\left[M^2\right]\left[L^{-2}\right]\left[T^{-1}\right]$

3. $\left[M^2\right]\left[L^{-1}\right]\left[T^0\right]$

4. $\left[M\right]\left[L^{-1}\right]\left[T^{-1}\right]$

Related 

Question:
Dimensional analysis can be applied to 
(a) check the dimensional consistency of equations 
(b) deduce relations among the physical quantities. 
(c) to convert from one system of units to another 
(d) All of these 

Answer: d - All of these

Question:
Two quantities A and B have different dimensions which mathematical operation given below is physically meaningful?

 (a) A/B(b) A + B (c) A – B(d) A = B 

Answer: (a)

Question:
The dimensions of pressure is equal to 
(a) force per unit volume 
(b) energy per unit volume 
(c) force
(d) energy 

Answer: b

Question:

The physical quantity that has no dimensions is
 (a) strain(b) angular velocity (c) angular momentum (d) linear momentum 

Answer: a-strain

Question:

Consider the following statements and select the correct statement(s). 

I. Light year and year, both measure time. 

II. Both have dimension of time. 

III. Light year measures length. 

(a) I and II(b) II and III (c) II only(d) III only 

Answer:(d)