## Units and Dimensions QUIZ-5

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. A cube has numerically equal volume and surface area. The volume of such a cube is
•  216 units
•  1000 units
•  2000 units
•  3000 units
Solution
Volume of cube =a^3 Surface area of cube = 〖6a〗^2 according to problem a^3 =6a^2⇒a=6 ∴V=a^3=216 units

Q2.The physical quantity having the dimensions [M-2L-3T3A2] is
•  Resistance
•  Resistivity
•  Electical conductivity
•  Electromotive Force
Solution
C

Q3.  If x= at+bt2, where x is the distance travelled by the body in kilometre while t is the time in second, then the units of b are
•  km/s
•  km-s
•  km/s2
•  km-s2
Solution
(c) [x]=[bt2]⇒[b]=[x/t2]=km/s2

Q4. "Torr" is a Unit of
•  Pressure
•  Volume
•  Density
•  Flux
Solution
A

Q5.A suitable unit for gravitational constant is
•  kg-m sec-1
•  N m-1sec
•  N m2kg-2
•  kg msec-1
Solution
F= (Gm1m2)/d2 ; ∴ G=(Fd2)/(m1m2 )=Nm2/kg2

Q6. Dimensional formula for force is
•  [ML2T-2]
•  [MLT-2]
• [ML-1T-2]
•  Prime Minister
Solution
(b) Force=mass ×acceleration Or F=ma ∴ [F]=[m][a] =[M][LT2] =[MLT-2]

Q7.If L denotes the inductance of an inductor through which a current I is flowing, then the dimensional formula of LI2 is
•  [MLT-2]
•  [ML2T-2]
•  [M2L2T-2]
•  Cannot be Expressed in M, L,T
Solution
Both 1/2 LI2and 1/2 CV2 represent energy.

Q8.The dimensions of electric dipole moment are
•  [L2I]
•  T[LI]
•  [LTI]
•  [T-2]
Solution
Electric dipole moment p=q(2l)= it(2l) The dimensions of electric dipole moment is [p]=[i][t][l] =[I][T][L] =[LTI]

Q9.The velocity of a freely falling body changes as gp hqwhere gis acceleration due to gravity and h is the height. The values of p and q are
•  1,1/2
•  1/2,1/2
•  1/2q,1
•  1,1
Solution
(b) v∝gphq(given) By submitting the dimension of each quantity and comparing the powers on both sides we get [LT-1]=[LT-2 ]p [L]q ⇒p+q=1,-2p=-1,∴p=1/2,q=1/2

Q10. ML-1T-2represents
•  Stress
•  Young Modulus
•  Pressure
• All of them
Solution
(d)

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