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- Question 1 of 31
If force(F),length(L) and time(T) be considered fundamental units, then the units of mass will beCorrectIncorrect
Think about formula which relates force, mass, length and time. Recollect F=ma and acceleration is rate of change of speed.
- Question 2 of 31
The ratio of the dimensions of planck’s constant and that of the moment of inertia is the dimensions ofCorrectIncorrect
Write dimensions of Plank’s constant / Moment of Inertia
- Question 3 of 31
Young’s modulus of the material of a wire is 18 x 10¹¹ dyne cm⁻².its value in SI isCorrectIncorrect
1 dyne = 10⁻⁵ Newton
- Question 4 of 31
If the dimensions of a physical quantity are given by Mᵃ Lᵇ Tᶜ, then the physical quantity will be:CorrectIncorrect
For all the options given below, find out the dimensions
- Question 5 of 31
Van der waals,equation of state is(p+a/v²)(V-b)=nRT. The dimensions of a and b areCorrectIncorrect
For subtraction v-b to work, constant b should have the same unit as that of v(volume)
- Question 6 of 31
If L and C denote inductance and capacitance,then the dimensions of L-C areCorrectIncorrect
Dimensions of Capacitance is M⁻¹L⁻²T⁴A²
What could be the dimensions of Inductance?
- Question 7 of 31
Which of the following physical quantities has neither dimensions nor unitCorrectIncorrect
Which one is constant among the options?
- Question 8 of 31
Which of the following pairs of physical quantities does not have same dimensional formulae?CorrectIncorrect
Relax yourself. Take a deep breath.
- Question 9 of 31
If h is planck’s constant and λ is wavelength, h/λ has dimensions ofCorrectIncorrect
Dimension of Planck’s constant = ML²T⁻¹
- Question 10 of 31
In the equation y=a sin(ωt+kx),the dimensionals formula of ? isCorrectIncorrect
Angle is dimension less quantity.
- Question 11 of 31
Which of the following quantities has units but not dimensionsCorrectIncorrect
Projectile Motion: More than the speed, this is important while playing angry birds game.
- Question 12 of 31
The quantity having the same units in all systems of unit isCorrectIncorrect
This question can be answered within 1 second
- Question 13 of 31
Pressure gradient has the same dimensions as that ofCorrectIncorrect
Gradient means rate of change
- Question 14 of 31
Which of the following measurement is most precise?CorrectIncorrect
Precision is the smallest unit which can be measured
- Question 15 of 31
The pair of quantities having same dimensions isCorrectIncorrect
Both can be expressed as newton-meter
- Question 16 of 31
The dimensions of universal gas constant areCorrectIncorrect
Use PV = nRT, where P is the pressure, V is the volume, n is the no of moles, R is gas constant and T is temperature.
- Question 17 of 31
The number of significant figures in 0.06900CorrectIncorrect
The zero before decimal point should also be counted as significant figure
- Question 18 of 31
Dimensions formula for surface tension isCorrectIncorrect
Formula for surface tension = force/length
- Question 19 of 31
Dimensions of electrical resistance areCorrectIncorrect
Volt = Work / Charge= (Force x Length) / (Amp x Time)
- Question 20 of 31
The magnetic moment has dimensions ofCorrectIncorrect
Unit of magnetic moment is Ampere – metre²
- Question 21 of 31
Pascal-second has the dimensions ofCorrectIncorrect
The poiseuille is equivalent to the pascal second
- Question 22 of 31
In an experiment four quantities a, b, c and d are measured with percentage error 1%, 2%, 3% and 4% respectively. Quantity P is calculated as follows P =a³b²/cd, % error in P isCorrectIncorrect
Error % doubles when the parameter is squared.
- Question 23 of 31
If momentum (P), area (A), and time (T) are taken to be fundamental quantities, the energy has the dimensional formulaCorrectIncorrect
Substitute dimension of momentum and Length in the dimensional formula of energy
- Question 24 of 31
Which two of the following five physical parameters have the same dimensions?
D (Young’s modulus) appears thrice in the answer, so find the other quantity which has same dimension.
- Question 25 of 31
If L is the inductance,C capacitance and R resistance the ratios L/R and R-C have the same dimensions as those ofCorrectIncorrect
It is enough to find one of L/R or R-C to find the answer.
- Question 26 of 31
If the error in the measurement of radius of a sphere is 2%, then the error in the determination of volume of the sphere will beCorrectIncorrect
Volume = 4/3 π r³
- Question 27 of 31
The refractive index of a material is given by the equation n=A+B/λ², where A and B are constants. The dimensional formula for B isCorrectIncorrect
The dimension for B and λ² should be same
- Question 28 of 31
A physical quantity is given by X=[MᵃLᵇT⁻ᶜ]. The percentage error in measurements of M, L and T are A, B and C. Then, the maximum % error in the quantityCorrectIncorrect
Power of dimension should be multiplied to get the error percentage
- Question 29 of 31
The numerical value of a given quantity isCorrectIncorrect
Any quantity is measured against some standard unit
- Question 30 of 31
If energy (E),velocity(v) and time (T) are chosen as the fundamental quantities,the dimensional formula of surface tension will beCorrectIncorrect
Write the formula of surface tension and express it in terms of Energy, Velocity, and time
- Question 31 of 31
The time period of body T is represented by T=P D S where P is pressure, D is density and S is surface tension, then values of a,b and c areCorrectIncorrect
Write down in terms of dimensions and solve it.
M⁰L⁰T¹ = (ML⁻¹T⁻²)ᵃ (ML⁻³)ᵇ (MT⁻²)ᶜ
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