Q.1
A wire of length l = 6±0.06cm and radius r = 0.5±0.005 cm and mass m = 0.3±0.003 gm. Maximum percentage error is density is .. [ IIT 2004]
  • a) 4
  • b) 2
  • c) 1
  • d) 6.8
Q.2
The physical quantities which do not have same dimensions are .... [AIEE 2003]
  • a) torque and work
  • b) momentum and plank's constant
  • c) stress and young's modulus
  • d) speed and (µoεo)-1/2
Q.3
A body of mass m=3.513 kg is moving along the x-axis with speed of 5.00 m/s. The magnitude of its momentum is recorded as .. [ AIEE - 2008]
  • a) 17.6 kgms-1
  • b) 17.565 kgms-1
  • c) 17.56 kgms-1
  • d) 17.57 kg ms-1
Q.4
Dimension of 1 / (µo εo ) , where symbols have usual meanings, are .. [ AIEE 2003]
  • a) L-1T
  • b) L-2T2
  • c) L2T-2
  • d) LT-1
Q.5
In an experiment the angle are required to be measured using an instrument, 29 divisions of the main scale exactly coincide with the 30 divisions of the vernier scale. If the smallest division of the main scale is half a a degree (0.5°), then the least count of the instrument is .. [ AIEE 2009]
  • a) half minute
  • b) one degree
  • c) half degree
  • d) one minute
Q.6
Two full turns of the circular scale of a screw gauge covers a distance of 1mm on its main scale. the total number of divisions on the circular scale isFurther, it is found that the screw gauge has a zero error of -0.03mm. While measuring the diameter of a thin wire,a student notes the main scale reading of 3mm and the number of circular scale division in line with the main scale asThe diameter of the wire is .. [ AIEE 2008]
  • a) 3.32 mm
  • b) 3.73mm
  • c) 3.67mm
  • d) 3.38mm
Q.7
The percentage error in measurement of mass and speed is 2% and 3% respectively. The error in kinetic energy obtained by measuring mass and speed will be.. [ CBSE-PMT 1995]
  • a) 12%
  • b) 10%
  • c) 8%
  • d) 2%
Q.8
The ratio of the dimension of Planck's constant and that of the moment of inertia is the dimension of .. [ CBSE-PMT 2005]
  • a) time
  • b) frequency
  • c) angular momentum
  • d) velocity
Q.9
The unit of the Stefan -Boltzmann constant is .. [ CBSE-PMT 2002]
  • a) W/m2K4
  • b) W/m2
  • c) W/ m2K
  • d) W/ m2K2
Q.10
If the error in measurement of radius of sphere is 2% then the error in the determination of volume of the sphere will be .. [ CBSE-PMT 2008]
  • a) 4%
  • b) 6%
  • c) 8%
  • d) 2%
Q.11
The dimensional formula of angular velocity is .. [ JIPMER 1993]
  • a) M0L0T-1
  • b) ML-1T-1
  • c) M0L1T-1
  • d) ML0T-2
Q.12
A physical quantity is represented by S= MxL-yTz. if percentage error in the measurement of M,L,T are α%, β% and γ% respectively, then total percentage error is
  • a) (αx+βy+γz)%
  • b) (αx-βy+γz)%
  • c) (αx+βy-γz)%
  • d) none of above
Q.13
The result of adding 3.6×10-6 and 2.2×10-5 with due regard to significant figure is
  • a) 38.2×10-5
  • b) 2.6×10-5
  • c) 3.8×10-6
  • d) 2.6×10-6
Q.14
Which of the following is the correct pair of physical quantity with its unit?
  • a) electric field - coulob/m
  • b) magnetic flux - weber
  • c) power - farad
  • d) capacitance - henry
Q.15
The time period of a soap bubble is T ∝ Pa dbSc, where P is pressure, d is density and S is surface tension, then the values of a,b,c are respectively:
  • a) -1,-2,3
  • b) -3/2, 1/2, 1
  • c) 1, -2, -3/2
  • d) 1, 2, 1/3
Q.16
The formula for the periodic time of a simple pendulum is T = 2π(l/g) 1/The fractional error in the measurement of the period T is ±x and that in the measurement of length'l' is ±y. The fractional error in the calculated value of g is not grater than..
  • a) x+y
  • b) x-y
  • c) 2x+y
  • d) 2x-y
Q.17
The unit of electric field is not equivalent to .. [ Raj. PMT 1995]
  • a) N/C
  • b) J/C
  • c) V/m
  • d) J/Cm
Q.18
A force F is given by F = at + btWhere t is time. What are the dimensions of a and b ? [ BHU 1998]
  • a) MLT -3 and ML 2T 4
  • b) MLT -3 and MLT -4
  • c) ML2T-1 and ML2T -1
  • d) ML 2T -2 and MLT -1
Q.19
If L and R represent inductance and resistance respectively, then the dimension of L/R will be (MPPMT 1998]
  • a) ML0T0
  • b) M0L0T
  • c) M0L0T-2
  • d) M0LT-2
Q.20
The dimension formula for latent heat is .. [IIT 1992]
  • a) M0L2T-2
  • b) MLT-2
  • c) ML2T-2
  • d) ML2T-1
Q.21
One second is defined equal to .. [MNR 1986]
  • a) 1650763.73 periods of Krypton clock
  • b) 652189.63 periodes of Krypton clock
  • c) 1650765.73.73 periods of Caesium clock
  • d) 9192631770 periods of Caesium clock
Q.22
A spherical body of mass m and radius r is allowed to fall in a medium of viscosity η. the time in which the velocity of the body increases from zeroto 0.63 times the terminal velocity is called time constant (τDimensionally τ can be represented by: [ AIIMS 1987]
  • a)
    ch-1_qn-78choice_img_no1.png
  • b)
    ch-1_qn-78choice_img_no2.png
  • c)
    ch-1_qn-78choice_img_no3.png
  • d) none of the above
Q.23
Poise are the units of
  • a) Torque
  • b) C.G.S unit of viscosity
  • c) S.I. unitof surface tension
  • d) Moment of inertia
Q.24
The dimension of the ratio of an angular to linear momentum is [ MNR 1994]
  • a) M0L1T0
  • b) M1L1T1
  • c) M1L2T-1
  • d) M-1L-1T-1
Q.25
Dimension of calories are.. [CPMT 1985]
  • a) ML2T-2
  • b) MLT-2
  • c) ML-2T-1
  • d) ML2T-1
Q.26
A wire when heated shows a 2% increase in length the increase in cross-sectional area would be ... [ CPMT 1993]
  • a) 1%
  • b) 2%
  • c) 4%
  • d) 4π%
Q.27
If unit of F and L increases 3 times, the unit of energy will decease: [ AFMC 1994]
  • a) 3 times
  • b) 6 times
  • c) 9 times
  • d) 27 times
Q.28
The accuracy of ceasium clock is 1 part inWhat can be the maximum difference between two such clocks operating for about 3200 years(≈1011 s)
  • a) Pratically no difference
  • b) 1 second
  • c) 1 minute
  • d) 1 hour
Q.29
The dimensions of [JIPMER 1998]
ch-1_que_no-85_img_no1.png
  • a) [A2L-3T4M-4]
  • b) [A-2L-4T-4M]
  • c) [A0L0T0M0]
  • d) [AL-3T2M-1]
Q.30
ML-1T-2 represents [ EAMCET 1995]
  • a) Stress
  • b) Young's modulus
  • c) Pressure
  • d) All of the above
0 h : 0 m : 1 s