Units and Measurements Quiz-2

Dear Readers,

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 constant of proportionality 1/(4πε0) in Coulomb’s law has the following dimensions :-
  •  C-2Nm2
  •  C2N-1m-2
  •  C2Nm2
  •  C-2N-1m-2
According to Coulombs law F=1/(4πε0) (q1q2)/r2 ∴1/(4πε0)=(Fr2)/(q1q2)=((newton) (meter)2)/((coulomb)(coulomb)) =(Nm2)/C2=C-2Nm2

Q2.A resistor of 4 kΩ with tolerance 10% is connected in parallel with a resistor of 6 kW with tolerance 100%. The tolerance of the parallel combination is nearly
  •  10%
  •  20%
  •  30%
  •  40%
Rs=(R1R2)/(R1+R2 ), (∆Rs)/Rs×100 =(∆R1)/R1 ×100+(∆R2)/R2 ×100+(∆(R1+R2))/(R1+R2)=100 Now, ∆R1=10/100×4kΩ=0.4kΩ, ΔR2=10/100×6kΩ=0.6kΩ Again, (∆Rs)/Rs×100=0.4/4×100+0.6/6×100 +(0.4+0.6)/10×100 =10+10+10=30 Rs=(R1R2)/(R1+R2), (∆Rs)/Rs×100 =(∆R1)/R1 ×100+(∆R2)/R2×100+(∆(R1+R2))/(R1+R2)=100 Now, ∆R1=10/100×4kΩ=0.4kΩ, ΔR2=10/100×6kΩ=0.6kΩ Again, (∆Rs)/Rs×100=0.4/4×100+0.6/6×100 +(0.4+0.6)/10×100 =10+10+10=30

Q3.An object is moving through the liquid. The viscous damping force acting on it is proportional to the velocity. Then dimension of constant of proportionality is
  •  ML-1T-1
  •  MLT-1
  •  MLT-1
  •  MLT-1
F∝v ⇒F=kv ⇒[k]=[F/v]=[(MLT2)/(LT-1 )]=[MT-1]

Q4.If v=A/t+Bt2+Ct3 where v is velocity, t is time and A,B and C are constants, then the dimensional formula of B is
  •  [M0LT0]
  •  [ML0T0]
  •  [M0L0T0]
  •  [M0LT-3]
Velocity v=Bt2 ∴ B=v/t2 =([LT-1])/([T2])=[LT-3]

Q5.The specific resistance ρ of a circular wire of radius r. Resistance R and and length l is given by ρ=(πr2R)/l. Given, r=0:(24±0.02)cm, R=(30±1)Ω and l=(4.80±0.01)cm. The percentage error in ρ is nearly
  •  7%
  •  9%
  •  13%
  •  20%
 Required percentage =(2×0.02)/0.24×100+1/30×100+0.01/4.80×100 =16.7+3.3+0.2 =20%

Q6.The fundamental physical quantities that have same dimensions in the dimensional formulae of torque and angular momentum are
  •  Mass, time
  •  Time,Length
  • Mass, length
  •  Time , Mole
Torque = [ML2T-2], Angular momentum = [ML2T-1] So mass and length have the same dimensions

Q7.In an experiment, to measure the height of a bridge by dropping stone into water underneath, if the error in measurement of time is 0.1s at the end of 2s, then the error in estimation of height of bridge will be
  •  0.49
  •  0.98
  •  1.96
  •  2.12
From h=ut+1/2 gt2 h=0+1/2×9.8×(2)2=19.6 m ∆h/h=±2∆t/t [∵a=g=constant] =±2(0.1/2)=±1/10 ∴ ∆h=±h/10=±19.6/10=±1.96 m

Q8.The radius of the proton is about 10-15m. The radius of the observable universe is 10^26m. identify the distance which is half-way between these two extremes on a logarithmic scale
  •  1021
  •  T106
  •  10-6
  •  0
r1=10-15 m,r2=1026m Log r=1/2[log10-15+log1026] =1/2 [-15+26]=5.5≈6⇒r=106m

Q9.Which of the following pairs is wrong
  •  Pressure-Barometer
  •  Relative density-Pyrometer
  •  Temperature-Thermometer
  •  Earthquake-Seismograph
Pyrometer is used the for measurement for temperature

Q10.The temperature of a body on Kelvin scale is found to be X K. When it is measured by a Fahrenheit thermometer, it is found to be X0F. Then X is
  •  301.25
  •  574.25
  •  313
  • 40

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Best IIT JEE Coaching Institute in Delhi | NEET Coaching Institute in Delhi: Units and Measurements Quiz-2
Units and Measurements Quiz-2
Best IIT JEE Coaching Institute in Delhi | NEET Coaching Institute in Delhi
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