10 QA on dimension of quantity | Learn Physics

Here is 10 question Answer  based on dimension of  physical quantity

1.1.   The dimensional formula of propagation vector (K) is:

(a)    [M⁰LT^-1]

(b)   [M ⁰L ^-1T⁰]

(c)    [M ¹L ^-1T⁰]

(d)   [M -¹L ^-1T⁰]

Ans(b)

 

2. 2. The position of a particle at time t is given by the relation  x(t) = V₀(1-e^-at)/a

Where V₀ is a constant and  a >0.  The dimension of V₀ and a are respectively

(a)    [M ⁰L ¹T⁰] and  T^-1

(b)   [M ⁰L ¹T^-1] and  T

(c)    [M ⁰L ¹T^-1] and  T^-1

(d)   [M ⁰L ¹T^-1] and LT^-2

Ans: (c)

 

3 The dimensions of pressure gradient are

(a)    ML^-2T^-2

(b)   ML^-2T^-1

(c)    ML^-1T^-1

(d)   ML^-1T^-2

Ans: (a)

 

4.       Which of the following equations is dimensional correct?

(a)    Pressure = energy per unit volume

(b)   Pressure = energy per unit area

(c)    Pressure = force per unit volume

(d)   Pressure = momentum per unit volume

Ans:(a)

 

5.       The dimensions of electromotive force in terms of current A are:

(a)    ML^-2A^-2

(b)   ML ²T^-2A²

(c)    ML²A^-2T^-2

(d)   ML² T ^-3A^-2

Ans (d)

 

6.       If C and R denote capacity and resistance, the dimensions of CR are

(a)    M⁰L⁰T¹

(b)   M¹L⁰T²

(c)    M^-1L^-1T⁰

(d)   M⁰L⁰T⁰

Ans(a)

 

7.       The dimensional formula of wave number is :

(a)     M⁰L⁰T^-1

(b)   M⁰L^-1T⁰

(c)    M^-1L^-1T⁰

(d)   M⁰L⁰T⁰

Ans (b)

 

8.       Which of the following pair of the physical quantity have the same dimensions?

(a)    Frequency and angular velocity

(b)   Pressure gradient and potential gradient

(c)    Angular  frequency and velocity gradient

(d)   Force constant and surface tension

Ans(b)

9.       An athletics coach told his team that ‘muscle time speed equations power’ What dimensional does he view for ‘muscle’ ?

(a)    MLT^-2

(b)   ML²T^-2

(c)    MLT²

(d)   L

                Ans (a)

10.   If force, length and time would have been the fundamental units, what would have been the dimensional formula for mass?

(a)    FL^-1T²

(b)   FLT^-2

(c)    FLT^-1

(d)   F

              Ans (a)