Units and Measurements-Quiz-8

UNITS AND MEASUREMENTS QUIZ-8

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 number of significant figures in 5.69 × 10¹⁵ kg is

•  1
•  2
•  3
•  18

Solution

(c)
5.69×10¹⁵ kg has three significant figures as the power of 10 is not considered for significant figures

Q2. Dimensional representation of coefficient of friction is

•  [M L² T^-2]
•  [M L T^-2]
•  [M⁰ L⁰ T⁰]
•  [M L T^-1]

Solution

(c)
Coefficient of friction is a dimensionless quantity

Q3. 

•  
  
•  
  
•  
  
•  
  

Solution

Q4. 

•  [M L² T]
•  [M^-1 L² T¹]
•  [M L² T^-2]
•  [M L T^-2]

Solution

Q5. The pair having the same dimensions is

•  Angular momentum, work
•  Work, torque
•  Potential energy, linear momentum
•  Kinetic energy, velocity

Solution

(b)
Dimension of work and torque =[ML^2 T^(-2)]

Q6. If the velocity (V), acceleration (A), and force (F) are taken as fundamental quantities instead of mass (M), length (L), and time (T), the dimensions of young’s modulus (Y) would be

•  F A² V^-4
•  F A² V^-5
• F A² V^-3
•  F A² V^-2

Solution

Q7. The dimensions of intensity of wave are

•  [M L² T^-3]
•  [M L⁰ T^-3]
•  [M L^-2 T^-3]
•  [M¹ L² T³]

Solution

Q8. Assuming that the mass m of the largest stone that can be moved by a flowing river depends upon the velocity v of the water, its density ρ and the acceleration due to gravity g. Then m is directly proportional to

•  v³
•  v⁴
•  v⁵
•  v⁶

Solution

Q9. 

•  M⁰ L T^-1 and T^-1
•  M⁰ L T⁰ and T^-1
•  M⁰ L T^-1 and L T^-2
•  M⁰ L T^-1 and T

Solution

Q10. A cube has a side of length 1.2 ×10^-2 m. Calculate its volume.

•  1.7 x 10^-6 m³
•  1.73 x 10^-6 m³
•  1.70 x 10^-6 m³
•  1.732 x 10^-6 m³

Solution