Units and Measurements-Quiz-5

UNITS AND MEASUREMENTS QUIZ-5

Dear Readers,

JEE Advanced Physics Syllabus can be referred by the IIT aspirants to get a detailed list of all topics that are important in cracking the entrance examination. JEE Advanced syllabus for Physics has been designed in such a way that it offers very practical and application-based learning to further make it easier for students to understand every concept or topic by correlating it with day-to-day experiences. In comparison to the other two subjects, the syllabus of JEE Advanced for physics is developed in such a way so as to test the deep understanding and application of concepts.

Q1. The product PV has the dimension

•  M L^-1 T^-2
•  M¹ L² T^-1
•  M¹ L² T^-2
•  M¹ L² T^-3

Solution
(c)
Pressure × volume gives work =[ML² T^-2]

Q2. Choose the physical quantity that is different from others in some respect

•  Moment of inertia
•  Electric current
•  Pressure energy
•  Rate of change in velocity

Solution

(d)
Rate of change of velocity is equal to acceleration, which is a vector quantity and all others are scalar quantities

Q3. 

•  M¹ L^7/2 T^-2
•  M¹ L^11/2 T^-2
•  M¹ L^5/2 T^-2
•  M¹ L^9/2 T^-2

Solution

Q4. Dimensional formula for angular momentum is

•  M L² T^-2
•  M L² T^-1
•  M L T^-1
•  M⁰ L² T^-2

Solution
(b) Angular momentum = mvr = [ MLT^-1)][L]=[ML² T^-1]

Q5. The dimensional representation of latent heat is identical to that of

•  Internal energy
•  Angular momentum
•  Gravitational potential
•  Electric potential

Solution

Q6. The dimensional formula for Planck’s constant (h) is

•  M L^-2 T^-3
•  M L² T^-2
•  M L² T^-1
•  M L^-2 T^-2

Solution

Q7. If L,C and R represent inductance, capacitance and resistance respectively, then which of the following does not represent dimensions of frequency

•  
  
•  
  
•  
  
•  
  

Solution

Q8. While measuring the acceleration due to gravity by a simple pendulum, a student makes a positive error of 1% in the length of the pendulum and a negative error of 3% in the value of time period. His percentage error in the measurement of g by the relation g=4π² (l/T²) will be

•  2 %
•  4 %
•  7 %
•  10 %

Solution

Q9. The dimensional formula for magnetizing field H is

•  [M⁰ L^-1 T⁰ A]
•  [M⁰ L T^-3 A]
•  [M⁰ L T A^-1]
•  [M⁰ L¹ T^-1 A]

Solution

Q10. If L and R denote inductance and resistance, respectively, then the dimensions of L/R are

•  M¹ L⁰ T⁰ Q^-1
•  M⁰ L⁰ T Q⁰
•  M⁰ L¹ T^-1 Q⁰
•  M^-1 L T⁰ Q^-1

Solution
(b)
Dimension of L/R is same as that of time