If dimensions of critical velocity of a liquid flowing through a tube are expressed ad npr, where n,p and r are the coefficient of viscosity of liquid, density of liquid and radius of the tube […]
If energy(E), velocity(V) and time(T) are chosen as fundamental quantities, the dimensional formula of surface tension will be
Options
(a) EV⁻¹T⁻² (b) EV⁻²T⁻² (c) E⁻²V⁻¹T⁻³ (d) EV⁻²T⁻¹
Correct Answer:
EV⁻²T⁻²
Explanation:
Let surface […]
If force(F), Velocity(V) and time(T) are taken as fundamental units, then the dimensions of mass are
Options
(a) FVT⁻¹ (b) FVT⁻² (c) FV⁻¹T⁻¹ (d) FV⁻¹T
Correct Answer:
FV⁻¹T
Explanation:
Using Newton’s Second law equation, […]
Dimensions of resistance in an electrical circuit, in terms of dimension of mass M, of length L, of time T and of current I would be
Options
(a) [ML²T⁻²] (b) [ML²T⁻¹I⁻¹] (c) [ML²T⁻³I⁻²] […]
Dimensional formula of magnetic field in terms of mass M, length L, time T and Charge Q is
Options
(a) MT²Q (b) MT²Q⁻¹ (c) MT⁻¹Q⁻¹ (d) MT⁻³Q⁻¹
Correct Answer:
MT⁻¹Q⁻¹
Explanation:
No explanation […]
The difference in the lengths of a mean solar day and a sidereal day is about
Options
(a) 1 min (b) 4 min (c) 15 min (d) 56 min
Correct Answer:
56 min
Which of the following pairs is wrong
Options
(a) Pressure-Barometer (b) Relative density-Pyrometer (c) Temperature-Thermometer (d) Earth-Seismograph
Correct Answer:
Relative density-Pyrometer
Explanation:
Barometer – Used to measure a atmospheric pressure
Pyrometer – Used to […]
The dimensional formula for Young’s modulus is
Options
(a) [ML⁻¹T⁻²] (b) [M⁰LT⁻²] (c) [MLT⁻²] (d) [ML²T⁻²]
Correct Answer:
[ML⁻¹T⁻²]
Explanation:
Young’s modulus Y=Stress/Strain=(Force/Area)/(elongation/Iength)
Y=[MLT⁻²][L]/[L²][L] = [ML⁻¹T⁻²]
The heat dissipated in a resistance can be obtained by measuring of resistance, the current and time. The maximum error in the measurement of these quantities is 1%, 2% and 1% respectively. The maximum error […]
The physical quantities not having same dimensions are
Options
(a) Speed and (μ₀ε₀)⁻¹/₂ (b) Torque and work (c) Momentum and Planck’s constant (d) Stress and Young’s modulus
Correct Answer:
Momentum and Planck’s constant
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