## UNITS AND MEASUREMENTS QUIZ-7

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. A length is measured as 7.60 m. This is the same as
•  7600 mm
•  0.0076 mm
•  760 cm
•  0.76 dm
Solution
(c)
All the choices are equivalent, but the answer must possess three significant digits as significant digits does not change on conversion from one system to another. So appropriate choice is (c)

Q2. A highly rigid cubical block A of small mass M and side L is fixed rigidly on the other cubical block of same dimensions and of modulus of rigidity Î· such that the lower face of A completely covers the upper face of B. The lower face of B is rigidly held on a horizontal surface. A small force F is applied perpendicular to one of the side faces of A. After the force is withdrawn, block A executes small oscillations, the time-period of which is given by
•
•
•
•
Solution

Q3. The dimensions of surface tension are
•  M L-1 T-2
•  M L T-2
•  M L-1 T-1
•  M T-2
Solution

Q4.
•  The unit of ct is same as that of Î»
•  The unit of x is same as that of Î»
•  The unit of 2Ï€c/Î» us same as that of 2Ï€x/Î»t
•  The unit of c/Î» is same as that of x/Î»
Solution

Q5.
•  1.2
•  1.25
•  2.20
•  2.25
Solution

Q6.
•  ± 12.5 %
•  ± 7 %
•  ± 1 %
•  ± 4 %
Solution

Q7. If the velocity of light C, the universal gravitational constant G, and Planck’s constant h are chosen as fundamental units, the dimensions of mass in this system are
•  h1/2 C1/2 G1/2
•  h-1 C-1 G
•  h C G-1
•  h C G
Solution

Q8. The order of magnitude of 0.00701 is
•  -2
•  -1
•  2
•  1
Solution
(a)
0.00701 = 0.701 × 10-2
Order of magnitude of 0.00701 is -2

Q9. The dimensional formula for a physical quantity x is [M-1 L3 T-2]. The errors in measuring the quantities M,L, and T, respectively, are 2%, 3%, and 4%. The maximum percentage of error that occurs in measuring the quantity x is
•  9
•  10
•  14
•  19
Solution

Q10. The order of magnitude of 379 is
•  1
•  2
•  3
•  4
Solution
(b)
379 = 3.79 × 10⇒ Order of magnitude of 379 is 2

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