UNITS AND MEASUREMENTS-QUIZ 16

As per analysis for previous years, it has been observed that students preparing for NEET find Physics out of all the sections to be complex to handle and the majority of them are not able to comprehend the reason behind it. This problem arises especially because these aspirants appearing for the examination are more inclined to have a keen interest in Biology due to their medical background. Furthermore, sections such as Physics are dominantly based on theories, laws, numerical in comparison to a section of Biology which is more of fact-based, life sciences, and includes substantial explanations. By using the table given below, you easily and directly access to the topics and respective links of MCQs. Moreover, to make learning smooth and efficient, all the questions come with their supportive solutions to make utilization of time even more productive. Students will be covered for all their studies as the topics are available from basics to even the most advanced. .

Q1. The ratio of the dimension of Planck’s constant and that of moment of inertia is the dimension of
•  Frequency
•  Velocity
•  Angular momentum
•  Time
Solution
(a) h/I=[(ML2 T-1/(ML2 )]=[T-1]

Q2.The equation of a wave is given by Y = A sin⁡Ï‰ ((x/Ï…-k ))
where Ï‰ is the angular velocity and Ï… is the linear velocity. The dimension of k is
•  LT
•  T
•   T-1
•  T2
Solution
(b) From the principle of homogenity (x/v) has dimensions of T

Q3. The dimensional formula for impulse is
•   [MLT-1 ]
•  [ML-1 T]
•  [M-1 LT-1]
•  [ML-1 T-1 ]
Solution
(a) Impulse=force ×time =[MLT-2 ][T]
=[MLT-1 ]

Q4. The radius of the sphere I (4.3±0.1)cm. The percentage error in its volume is
•  0.1/4.3×100
•   3×(0.1×100)/4.3
•  1/3×(0.1×100)/4.3
•  3+(0.1×100)/4.3
Solution
(a) Percentage error in radius is 0.1/4.3×100. again, V∝R3

•  Ten million light years
•  Million light years
•  Hundred million light years
•  10 million light years
Solution
(d) Size of universe is about 1026 m=106×(9.46×1015)m =1010ly

Q6. A cube has a side of length 1.2 ×10-2 m. Calculate its volume.
•  1.7×10-6 m3
•  1.73×10-6 m3
• 1.70×10-6 m3
•  1.732×10-6 m3
Solution
(a) Volume V=I3=(1.2×10-2 m)3=1.728×106 m3 ∵ length lhas two significance figures. Therefore, the correct answer is
V=1.7×10-6 m3

Q7.The SI unit of momentum is
•  kg/(m )
•  (kg.m)/sec
•  (kg.m^2)/sec
•  kg×newton
Solution
(b) mv=kg((m/sec ))

Q8.A calorie is a unit of heat and equal 4.2 J. Suppose we employ a system of units in which the unit of mass is Î±kg,
the unit of length is Î² metre and the unit of time is Î³ sec. In this new system. 1 calorie =
•  Î±-1 Î²-2 Î³2
•  4.2Î±Î²2 Î³2
•  Î±Î²2 Î³2
•  4.2Î±-1 Î²-2 Î³2
Solution
(d) [Calorie]=[ML2 T-2] Comparing with general dimensional formula [Ma Lb Tc ], we get
a=1,b=2,c=-2. n2=4.2[1kg/Î±kg]1 [1m/Î²m]2 [1s/Î³s]-2=4.2Î±-1 Î²-2 Î³2

Q9.Number of base SI unit is (Given that radius of earth = 6400 km)
•  4
•  7
•  3
•  5
Solution
(b)7

Q10. Dimensions of bulk modulus are
•  [M-1 LT-2 ]
•  [ML-1 T-2 ]
•  [ML-1 T-2 ]
•  [M2 L2 T-1 ]
Solution
(b) Bulk modulus K=(normal stress)/(volumetric strain)
=(F/A)/(-∆V/V) =-FV/(A ∆V) Now, F/A=p ∴ K=pV/∆V As volumetric strain is dimensionless.
∴Dimensions of K=dimensions of normal stress
⇒ [K]=[Ml-1 T-2 ]

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UNITS AND MEASUREMENTS-QUIZ 16