Units and Measurements-Quiz-2

UNITS AND MEASUREMENTS QUIZ-2

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. Force F is given in terms of time t and distance x by F=A sin⁡〖Ct+B cos⁡Dx 〗. Then the dimensions of A/B and C/D are:

•  [M⁰ L⁰ T⁰], [M⁰ L⁰ T^-1]
•  [MLT^-2], [M⁰ L^-1 T⁰]
•  [M⁰ L⁰ T⁰], [M⁰ LT^-1]
•  [M⁰ L¹ T^-1], [M⁰ L⁰ T⁰]

Solution

Q2. If X=a+b, the maximum percentage error in the measurement of X will be

•  1/2, 1/2
•  -1/2, -1/2
•  1/2, -1/2
•  -1/2, 1/2

Solution

Q3. The mass of the liquid flowing per second per unit area of cross section of the tube is proportional to P^x and v^y, where P is the pressure difference and v is the velocity, then the relation between x and y is

•  x = y
•  x = -y
•  y² = x
•  y = -x²

Solution

Q4. The dimensional formula for resistivity of conductor is

•  [M L²T^-2A^-2]
•  [M L³T^-3A^-2]
•  [M L^-2T^-2A²]
•  [M L²T^-2A^-3]

Solution

Q5. 

•  M⁰ L³ T⁰
•  M⁰ L³ T^-1
•  M¹ L³ T⁰
•  M⁰ L³ T⁰

Solution

Q6. The resistance of a metal is given by R=V/I, where V is potential difference and I is the current. In a circuit, the potential difference across resistance ,is V=(8 ± 0.5)V and current in resistance, I=(4 ± 0.2)Å. What is the value of resistance with its percentage error?

•  (2 ± 5.6%) Ω
•  (2 ± 0.7%) Ω
• (2 ± 35%) Ω
•  (2 ± 11.25%) Ω

Solution

Q7. 

•  Wavelength
•  Volume
•  Pressure
•  Area

Solution

Q8. The percentage errors in the measurement of mass and speed are 2% and 3%, respectively. How much will be the maximum error in the estimation of KE obtained by measuring mass and speed?

•  5%
•  1%
•  8%
•  11%

Solution

Q9. Inductance L can be dimensionally represented as

•  M L²T^-2A^-2
•  M L²T^-4A^-3
•  M L^-2T^-2A^-2
•  M L²T⁴A³

Solution

Q10. A student writes four different expressions for the displacement y in a periodic motion as a function of time t,a as amplitude, T as time period. Which of the following can be correct?

•  
  
•  
  
• 
• 

Solution

(d) Since L.H.S. is displacement, so R.H.S. should have dimensions of displacement. In (a), aT does not have the dimensions of displacement. Also the argument of a trigonometric function should be dimensionless. In (b), argument is not dimensionless and in (c), a/T does not have the dimensions of displacement. Hence, the correct choice is (d)