Van der waals,equation of state is(p+a/v²)(V-b)=nRT. The dimensions of a and b are
Options
(a) [ML³T²],[ML³T⁰] (b) [ML⁵T⁻²],[M⁰L³T⁰] (c) [M²LT²],[ML³T²] (d) [ML²T],[ML²T²]
Correct Answer:
[ML⁵T⁻²],[M⁰L³T⁰]
Explanation:
((p+a/v²)(V-b)) / nT =R
Since we have (p+a/v²), […]
If the dimensions of a physical quantity are givenby Mᵃ Lᵇ Tᶜ, then the physical quantity will be:
Options
(a) Velocity if a= 1, b = 0, c = – 1 (b) Acceleration […]
Young’s modulus of the material of a wire is 18 x 10¹¹ dyne cm⁻². Its value in SI is
Options
(a) 18 x 10¹⁵ Nm⁻² (b) 18 x 10¹⁰ Nm⁻² (c) 18 x 10⁹ […]
Let A = i Acosθ +j B sinθ be any vector.Another vector B which is normal to A is
Options
(a) i B cosθ + i B sinθ (b) i B sinθ + j […]
The physical quantity which doesnot have the same dimensions as the other three is
Options
(a) spring constant (b) surface tension (c) surface energy (d) acceleration due to gravity
Correct Answer:
acceleration due […]
A circular disc rolls down an inclined plane. The ratio of rotational kinetic energy to total kinetic energy is
Options
(a) 1/2 (b) 1/3 (c) 2/3 (d) 3/4
Correct Answer:
1/3
Explanation:
No explanation […]
The momentum of a body is increased by 20%.The percentage increases in kinetic energy is
Options
(a) 54 % (b) 44 % (c) 100 % (d) 50 %
Correct Answer:
44 %
Explanation:
Increase […]
The ratio of the dimensions of Planck’s constant and that of the moment of inertia is the dimensions of
Options
(a) frequency (b) velocity (c) angular momentum (d) time
Correct Answer:
frequency
Explanation:
The dimensional […]
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:
Force = Mass x Acceleration
F […]
The dimension of 1/2ε₀E², where ε₀ is permittivity of free space and E is electric field, is:
Options
(a) ML²T⁻² (b) ML⁻¹T⁻² (c) ML²T⁻¹ (d) MLT⁻¹
Correct Answer:
ML⁻¹T⁻²
Explanation:
1/2 ?￢ﾂﾀE² represents […]
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