Q.1.
Dimensions of coefficient of viscosity is [ AIIMS 2010]
-
17%
a) [M T2]
-
10%
b) [ ML-3T-4]
-
20%
c) [ M L-1 T-2 ]
-
53%
d) [ML-1T-1]
Explanation
Q.2.
What is the dimensions of impedance? [ AIIMS 2007]
-
16%
a) [ ML2T-3I-2 ]
-
44%
b) [ M-1L-2T3I2 ]
-
32%
c) [ ML3T-3I-2 ]
-
8%
d) [ M-1L-3T3I2 ]
Q.3.
What are the units of
-
16%
a) C2N-1m-2
-
36%
b) Nm2C-2/
-
8%
c) Nm2C2
-
40%
d) Unit less
Explanation
Q.4.
What is the dimensional formula for gravitational constant? [ AIIMS 2000]
-
4%
a) [ M L2 T-2]
-
20%
b) [ M L-1 T-1]
-
68%
c) M-1L3T-2
-
8%
d) none of these
Explanation
Q.5.
The dimensional formula of the constant 'a' in Vender Waal's equation.
-
12%
a) [ M L4T-1 ]
-
33%
b) [ M L2T-2 ]
-
17%
c) [ M L5T-3 ]
-
38%
d) [ M L5T-2 ]
Explanation
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
-
19%
a)
-
12%
b)
-
31%
c)
-
38%
d)
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]
-
33%
a) resistance
-
40%
b) charge
-
7%
c) voltage
-
20%
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]
-
27%
a) 0.4
-
33%
b) 40
-
20%
c) 400
-
20%
d) 0.04
Explanation
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]
-
8%
a) (B) and (D)
-
31%
b) (C) and (E)
-
46%
c) (A) and (D)
-
15%
d) (A) and (E)
Explanation
Q.10.
If the dimensions of a physical quantity are given by Ma Lb Tc, then the physical quantity will be.. [ CBSE-PMT 2009]
-
0%
a) Velocity if a =1, b =0, c = -1
-
15%
b) Acceleration if a =1, b=1, c=-2
-
38%
c) Force if a=0, b=-1, c =-2
-
46%
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]
-
9%
a) [ML-3]
-
0%
b) [ML-2]
-
18%
c) [ML-1]
-
73%
d) [ML-1 T -1]
Explanation
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]
-
0%
a) L2, T and LT2
-
9%
b) LT2, LT and L
-
55%
c) L, LT and T2
-
36%
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]
-
11%
a) pressure, stress
-
11%
b) velocity, speed
-
67%
c) force and impulse
-
11%
d) work and energy
Q.14.
Which of the following is dimensional constant? [ CBSE-PMT 1995]
-
10%
a) Refractive Index
-
20%
b) Poisson Ratio
-
20%
c) Relative density
-
50%
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]
-
0%
a) N
-
25%
b) N-1
-
25%
c) 1/10N
-
50%
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]
-
22%
a) 22%
-
56%
b) 2%
-
22%
c) 0.2%
-
0%
d) 0.02%
Explanation
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]
-
14%
a) 12%
-
14%
b) 10%
-
43%
c) 8%
-
29%
d) 2%
Explanation
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]
-
14%
a) 7%
-
29%
b) 9%
-
0%
c) 12%
-
57%
d) 13%
Explanation
Q.19.
the dimensions of Planck's constant are same as.. [ CBSE-PMT 201]
-
10%
a) Energy
-
0%
b) power
-
30%
c) momentum
-
60%
d) angular momentum
Q.20.
Of the following quantities, which one has dimension different from the remaining three? [ CBSE-PMT 1989]
-
9%
a) Energy per unit volume
-
0%
b) Force per unit area
-
55%
c) Product of voltage and charge per unit volume
-
36%
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]
-
22%
a) 0.1N
-
33%
b) 1N
-
22%
c) 10N
-
22%
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]
-
25%
a) is dimensionless
-
25%
b) has dimensions T-2
-
25%
c) has dimensions T2
-
25%
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]
-
0%
a) ML2T-2
-
17%
b) ML2T-1I-1
-
83%
c) ML2T-3I-2
-
0%
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]
-
17%
a) MLT-1
-
17%
b) ML2T-2
-
33%
c) ML-1T-2
-
33%
d) ML2T-1
Q.25.
Which of the following set have different dimensions [ IIT 2005]
-
17%
a) Pressure, Youg's Modulus, Stress
-
33%
b) EMF, Potential difference
-
0%
c) Heat , Work done , Energy
-
50%
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]
-
43%
a) 1.7×10-6 m3
-
29%
b) 1.73×10-6 m3
-
0%
c) 1.70×10-6 m3
-
29%
d) 1.732×10-6 m3
Q.27.
Which of the following is the dimensional formula for the energy per unit area per sond
-
0%
a) ML0T0
-
33%
b) ML0T-3
-
0%
c) ML2T-1
-
67%
d) MT-2
Q.28.
Identify the pair whose dimensions are equal [ AIEE 2002]
-
73%
a) torque and work
-
9%
b) stress and energy
-
0%
c) force and stress
-
18%
d) force and work
Q.29.
The dimension of magnetic field in M,L,T, and C(coulomb) is given as .. [ AIEE 2008]
-
0%
a) MLT-1C-1
-
38%
b) MT2C-2
-
25%
c) MT-1C-1
-
38%
d) MT-2C-1
Explanation
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]
-
0%
a) resistance
-
11%
b) charge
-
22%
c) voltage
-
67%
d) current