General
✓✗Which pair do not have equal dimensions?
- Energy and torque
- Force and impulse
- Angular momentum and Plank's constant
- Elastic modulus and pressure
General
✓✗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 be
- 8%
- 2%
- 4%
- 6%
General
✓✗In an experiment the percentage of error occurred in the measurement of physical quantities A, B, C and D are 1%, 2%, 3% and 4% respectively. Then the maximum percentage of error in the measurement X, where X = 
, will be
, will be- 10%
- (3/13)%
- 16%
- –10%
General
✓✗If x = at + bt2, where x is the distance travelled by the body in kilometers while t is the time in seconds, then the units of b is
- km/s
- km s
- km/s2
- km s2
General
✓✗Dimensional formula of self inductance is
- [MLT–2A–2]
- [ML2T–1A–2]
- [ML2T–2A–2]
- [ML2T–2A–1]
General
✓✗The density of a material in CGS system of units is 4 g cm–3. In a system of units in which unit of length is 10 cm and unit of mass is 100 g, the value of density of material will be
- 0.04
- 0.4
- 40
- 400
General
✓✗Turpentine oil is flowing through a tube of length 
and radius r. The pressure difference between the two ends of the tube is P. The viscosity of oil is given by 
where v is the velocity of oil at a distance x from the axis of the tube. The dimensions of h are
and radius r. The pressure difference between the two ends of the tube is P. The viscosity of oil is given by where v is the velocity of oil at a distance x from the axis of the tube. The dimensions of h are- [M0L0T0]
- [MLT–1]
- [ML2T–2]
- [ML–1T–1]
General
✓✗According to Newton, the viscous force acting between liquid layers of area A and velocity gradient Dv/DZ is given by 
, where h is constant called coefficient of viscosity. The dimensional formula of h is
, where h is constant called coefficient of viscosity. The dimensional formula of h is- [ML–2T–2]
- [M0L0T0]
- [ML2T–2]
- [ML–1T–1]
General
✓✗The velocity v of a particle at time t is given by 
, where a, b and c are constants. The dimensions of a, b and c are)
, where a, b and c are constants. The dimensions of a, b and c are)- [L], [LT] and [LT–2]
- [LT–2], [L] and [T]
- [L2], [T] and [LT–2]
- [LT–2], [LT] and [L]
General
✓✗An equation is given here 
where P = Pressure, V = Volume and q = Absolute temperature. If a and b are constants, the dimensions of a will be
where P = Pressure, V = Volume and q = Absolute temperature. If a and b are constants, the dimensions of a will be- [ML–5T–1]
- [ML5T1]
- [ML5T–2]
- [M–1L5T2]
General
✓✗If C and R denote capacitance and resistance, the dimensional formula of CR is
- [M0L0T1]
- [M0L0T0]
- [M0L0T–1]
- not expressible in terms of MLT
General
✓✗Which two of the following five physical parameters have the same dimensions?
(1) energy density
(2) refractive index
(3) dielectric constant
(4) Young's modulus
(5) magnetic field)
(1) energy density
(2) refractive index
(3) dielectric constant
(4) Young's modulus
(5) magnetic field)
- 1 and 4
- 1 and 5
- 2 and 4
- 3 and 5
General
✓✗The main scale of a vernier callipers has n divisions/cm. n divisions of the vernier scale coincide with (n – 1) divisions of main scale. The least count of the vernier callipers is,
General
✓✗The dimensional formula of permeability of space m0 is
- [MLT–2A–2]
- [M0L1T]
- [M0L2T–1A2]
- none of these
General
✓✗P represents radiation pressure, c represents speed of light and S represents radiation energy striking per unit area per sec. The non zero integers x, y, z such that PxSycz is dimensionless are
- x = 1, y = 1, z = 1
- x = –1, y = 1, z = 1
- x = 1, y = –1, z = 1
- x = 1, y = 1, z = –1