JEE Questions for Physics Units And Measurements Quiz 13

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LT
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T
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T–1
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T2

The dimensions of coefficient of thermal conductivity is

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2)
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0%

The dimension of magnetic field in M, L, T and C (coulomb) is given as

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2)
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0%

Dimensional formula of heat energy is

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2)
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None of these

If C and L denote capacitance and inductance respectively, then the dimensions of LC are

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2)
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0%

The physical quantity having the dimensions [M^–1L^–3T³A²]

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Resistance
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Resistivity
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Electrical conductivity
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Electromotive force

The velocity of a particle (v) at an instant t is given by v = at + bt². The dimension of b is

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L
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LT–1
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LT–2
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LT–3

The velocity of a freely falling body changes as g^ph^q where g is acceleration due to gravity and h is the height. The values of p and q are

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1, 1/2
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1/2, 1/2
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1/2, 1
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1, 1

Dimensions of frequency are

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2)
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0%

Which one has the dimensions different from the remaining three?

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Power
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Work
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Torque
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Energy

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Resistance
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Charge
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Voltage
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Current

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2)
0%
0%

The dimensions of CV² matches with the dimensions of

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L2 I
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L2I2
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LI2
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AT2

An athletic coach told his team that muscle times speed equals power. What dimensions does he view for muscle?

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2)
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L

Dimensions of ohm are same as (h - Planck\'s constant, e-charge)

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h/e
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h2/e
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h/e2
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h2e2

The dimensions of stress are equal to

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Force
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Pressure
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Work
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1/Pressure

Density of a liquid in CGS system is 0.625 g/cm³. What is its magnitude in SI system?

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0.625
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0.0625
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0.00625
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625

If P represents radiation pressure, c represents speed of light and Q represents radiation energy striking a unit area per second, then non-zero integers x, y and z such that P^xQ^yc^z is dimensionless are

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x = 1, y = 1, z = –1
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x = 1, y = –1, z = 1
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x = –1, y = 1, z = 1
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x = 1, y = 1, z = 1

Inductance L can be dimensionally represented as

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2)
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0%

Dimensions of strain are

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2)
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Dimensions of kinetic energy are

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2)
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0%

Dimensions of coefficient of viscosity are

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2)
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0%

The dimensions of quantity (L/RCV) is

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[A]
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[A2]
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[A–1]
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None of these

The dimensions of surface tension are

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2)
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0%

In the following list, the only pair which have different dimensions, is

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Linear momentum and moment of a force
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Planck's constant and angular momentum
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Pressure and modulus of elasticity
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Torque and potential energy

If velocity v, acceleration A and force F are chosen as fundamental quantities, then the dimensional formula of angular momentum in terms of v, A and F would

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2)
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0%

Dimensions of the following three quantities are the same

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Work, energy, force
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Velocity, momentum, impulse
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Potential energy, kinetic energy, momentum
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Pressure, stress, coefficient of elasticity

Out of following four dimensional quantities, which one quantity is to be called a dimensional constant?

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Acceleration due to gravity
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Surface tension of water
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Weight of a standard kilogram mass
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The velocity of light in vaccum

[2T^–] is the dimension of

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Work
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Power
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Force
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Momentum

two quantities A and B have different dimensions. Which mathematical operation given below is physically meaningful?

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A/B
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A + B
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A – B
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None of these

Given that v is speed, r is the radius and g is the acceleration due to gravity. Which of the following is dimensionless?

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2)
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0%

The physical quantity which has the dimensional formula M¹T^–3 is

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Surface tension
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Solar constant
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Density
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Compressibility

The dimensions of inter atomic force constant are

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2)
0%
0%

If the speed of light (c), acceleration die to gravity (g) and pressure (p) are taken as the fundamental quantities, then the dimension of gravitational constant is

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2)
0%
0%

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Resistivity
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Conductivity
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Resistannce
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None of these

If energy (E), velocity (v) and force (F) be taken as fundamental quantity, then what are the dimensions of mass?

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0%
2)
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0%

Dimensions of luminous flux are

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2)
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0%

A physical quantity x depends on quantity y and z as follows: x = Ay + BtanCz, where A, B and C are constants. Which of the following don not have the same dimensions?

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x and B
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C and z–1
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y and B/A
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x and A

Out of the following which pair of quantities do not have same dimensions?

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Planck's constant and angular momentum
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Work and energy
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Pressure and Young's modulus
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Torque and moment of inertia

Identify the pair which has different dimensions

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Planck's constant and angular momentum
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Impulse and linear momentum
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Angular momentum and frequency
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Pressure and Young's modulus

Which of the following groups have different dimensions?

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Potential difference, EMF, voltage
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Pressure, stress, young's modulus
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Heat, energy, work done
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Dipole moment, electric flux, electric field

Which of the following units denotes the dimensions ML²/Q², where Q denotes the electric charge

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Henry (H)
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H/m2
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Weber (Wb)
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Wb/m2

If L, C and R demote then inductance, capacitance and resistance respectively, the dimensional formula for C²LR is

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2)
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0%

If the velocity of light (c), gravitational constant (G) and Planck\'s constant (h) are chosen as fundamental units, then the dimensions of mass in new system is

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2)
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0%

Identify the pair whose dimensions are equal

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Torque and work
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Stress and energy
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Force and Stress
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Force and work

The dimensions of pressure is equal to

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Energy
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Force per unit volume
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Energy per unit volume
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Force

Which of the two have same dimensions?

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Force and strain
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Force and stress
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Angular velocity and frequency
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Energy and strain

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