Q.1
Dimensions of coefficient of viscosity is [ AIIMS 2010]
  • a) [M T2]
  • b) [ ML-3T-4]
  • c) [ M L-1 T-2 ]
  • d) [ML-1T-1]
Q.2
What is the dimensions of impedance? [ AIIMS 2007]
  • a) [ ML2T-3I-2 ]
  • b) [ M-1L-2T3I2 ]
  • c) [ ML3T-3I-2 ]
  • d) [ M-1L-3T3I2 ]
Q.3
What are the units of
ch-1_que_no-32_img_no1.png
  • a) C2N-1m-2
  • b) Nm2C-2/
  • c) Nm2C2
  • d) Unit less
Q.4
What is the dimensional formula for gravitational constant? [ AIIMS 2000]
  • a) [ M L2 T-2]
  • b) [ M L-1 T-1]
  • c) M-1L3T-2
  • d) none of these
Q.5
The dimensional formula of the constant 'a' in Vender Waal's equation.
ch-1_que_no-34_img_no1.png
  • a) [ M L4T-1 ]
  • b) [ M L2T-2 ]
  • c) [ M L5T-3 ]
  • d) [ M L5T-2 ]
Q.6
In a slide calliper, (m+1) number of vernier divisions is equal to m number of smallest main scale division s. If d is the magnitude of the smallest main scale division, then the magnitude of the vernier constant is ..... unit
  • a)
    ch-1_qn-35choice_img_no1.png
  • b)
    ch-1_qn-35choice_img_no2.png
  • c)
    ch-1_qn-35choice_img_no3.png
  • d)
    ch-1_qn-35choice_img_no4.png
Q.7
A quantity x is given by where ε0 is the permittivity of free space, L is the length, ΔV is a potential difference and Δt is a time interval. The dimensional formula for x is the same as that of .. [ BHU 2013]
ch-1_que_no-36_img_no1.png
  • a) resistance
  • b) charge
  • c) voltage
  • d) current
Q.8
The density of material in CGS system of unit is 4g/cmIn a system of units in which unit of length is 10cm and unit of mass is 100g, the value of density of material will be.. [ CBSE-PMT 2011]
  • a) 0.4
  • b) 40
  • c) 400
  • d) 0.04
Q.9
Which two of the following five physical parameters have the same dimensions? A) Energy Density B) Refractive Index C) Dielectric Constant D) Young's Modulus E)Magnetic Field [ CDSE-PMT 2008]
  • a) (B) and (D)
  • b) (C) and (E)
  • c) (A) and (D)
  • d) (A) and (E)
Q.10
If the dimensions of a physical quantity are given by Ma Lb Tc, then the physical quantity will be.. [ CBSE-PMT 2009]
  • a) Velocity if a =1, b =0, c = -1
  • b) Acceleration if a =1, b=1, c=-2
  • c) Force if a=0, b=-1, c =-2
  • d) Pressure if a =1, b= -1, c=-2
Q.11
The force F on a sphere of radius 'a' moving in a medium with velocity 'v' is given by F = 6πηav. The dimensions of η are ... [ CBSE-PMT 1997]
  • a) [ML-3]
  • b) [ML-2]
  • c) [ML-1]
  • d) [ML-1 T -1]
Q.12
The velocity 'v' of a particle at time t is given by where a, b, c are constant then dimensions of a,b, c are respectively [ CBSE-PMT 2006]
ch-1_que_no-41_img_no1.png
  • a) L2, T and LT2
  • b) LT2, LT and L
  • c) L, LT and T2
  • d) LT-2, L and T
Q.13
Which one of the following groups have quantities that do not have the same dimensions? [ CBSE-PMT 2001]
  • a) pressure, stress
  • b) velocity, speed
  • c) force and impulse
  • d) work and energy
Q.14
Which of the following is dimensional constant? [ CBSE-PMT 1995]
  • a) Refractive Index
  • b) Poisson Ratio
  • c) Relative density
  • d) Gravitational constant
Q.15
In a vernier calliper N divisions of vernier scale coincides with (N-1) division of main scale ( in which length of one division is 1mm). The least count of the instrument should be ..[ CBSE-PMT 1994]
  • a) N
  • b) N-1
  • c) 1/10N
  • d) 1/(N-1)
Q.16
A certain body weights 22.42 gm and has a measured volume of 4.7cc. The possible error in the measurement of mass and volume are 0.01gm and 0.1cc. The maximum error in the density will be .. [ CBSE-PMT 1991]
  • a) 22%
  • b) 2%
  • c) 0.2%
  • d) 0.02%
Q.17
The percentage error in the measurement of mass and speed are 2% and 3% respectively. The error i kinetic energy obtained by measuring mass and speed will be.. [ CBSE PMT 1995]
  • a) 12%
  • b) 10%
  • c) 8%
  • d) 2%
Q.18
the density of cube is measured by measuring its mass and length of its sides. If the maximum error in the measurement of mass and length are 4% and 3% respectively, the maximum error in the measurement of density will be.. [ BSE-PMT 1996]
  • a) 7%
  • b) 9%
  • c) 12%
  • d) 13%
Q.19
the dimensions of Planck's constant are same as.. [ CBSE-PMT 201]
  • a) Energy
  • b) power
  • c) momentum
  • d) angular momentum
Q.20
Of the following quantities, which one has dimension different from the remaining three? [ CBSE-PMT 1989]
  • a) Energy per unit volume
  • b) Force per unit area
  • c) Product of voltage and charge per unit volume
  • d) Angular momentum
Q.21
In a particular system, the unit of length , mass and time are chosen to be 10cm, 10g and 0.1s respectively. The unit of force in this system will be equivalent to [ CBSE-PMT 1997]
  • a) 0.1N
  • b) 1N
  • c) 10N
  • d) 100N
Q.22
The time dependence of physical quantity 'p' is given by p = poexp(-αt2), where α is a constant and t is the time. The constant α .... [CBSE-PMT 1993]
  • a) is dimensionless
  • b) has dimensions T-2
  • c) has dimensions T2
  • d) has dimensions of p
Q.23
Dimension of resistance in an electric circuit in terms of dimensions of mass M, of length L, of time T and of current I, would be.. [ CBSE PMT 2007]
  • a) ML2T-2
  • b) ML2T-1I-1
  • c) ML2T-3I-2
  • d) ML2T-3I-1
Q.24
The dimension of ½ εo E2 ( ε0 is permittivity of free space, E is electric field ) is .. [ IIT 2000]
  • a) MLT-1
  • b) ML2T-2
  • c) ML-1T-2
  • d) ML2T-1
Q.25
Which of the following set have different dimensions [ IIT 2005]
  • a) Pressure, Youg's Modulus, Stress
  • b) EMF, Potential difference
  • c) Heat , Work done , Energy
  • d) Dipole moment, Electric flux, Electric field
Q.26
A cube has a side of length 1.2×10-Calculate its volume .. [ CBSE-PMT 2003]
  • a) 1.7×10-6 m3
  • b) 1.73×10-6 m3
  • c) 1.70×10-6 m3
  • d) 1.732×10-6 m3
Q.27
Which of the following is the dimensional formula for the energy per unit area per sond
  • a) ML0T0
  • b) ML0T-3
  • c) ML2T-1
  • d) MT-2
Q.28
Identify the pair whose dimensions are equal [ AIEE 2002]
  • a) torque and work
  • b) stress and energy
  • c) force and stress
  • d) force and work
Q.29
The dimension of magnetic field in M,L,T, and C(coulomb) is given as .. [ AIEE 2008]
  • a) MLT-1C-1
  • b) MT2C-2
  • c) MT-1C-1
  • d) MT-2C-1
Q.30
A quantity is given by Where εo is the permittivity of free space, L is the length, ΔV is a potential difference and Δt is a time interval. the dimensional formula for X is the same as that of .. [ IIT 2001]
ch-1_que_no-59_img_no1.png
  • a) resistance
  • b) charge
  • c) voltage
  • d) current
0 h : 0 m : 1 s