Q.1
If pressure (P), velocity (V) and time (T) are taken as fundamental unit, then what is the dimension of force in new unit system ....
  • a) PV2T2
  • b) P-1V3T-2
  • c) PVT2
  • d) P-1VT2
Q.2
M1L-1T-2 represent which physical quantity ...
  • a) stress
  • b) Young's Modulus
  • c) Pressure
  • d) All of the above
Q.3
What is the dimension for k, in the following equation of wave v = velocity, ω = angular velocity
  • a) LT
  • b) T
  • c) T-1
  • d) T2
Q.4
Which of the following is dimensionally correct?
ch-1_que_no-223_img_no1.png
  • a) Pressure = energy per unit area
  • b) Pressure = energy per unit time
  • c) Pressure = energy per unit volume
  • d) Pressure = momentum per unit time and unit volume
Q.5
Subtracting 0.2J from 7.26J result in significant figure is ... ..
  • a) 7.1J
  • b) 7.06 J
  • c) 7.0 J
  • d) 7 J
Q.6
Dimensional equation of Plank's constant is similar to that of which physical quantity?
  • a) energy
  • b) momentum
  • c) work
  • d) angular momentum
Q.7
In equation, force = X/density. the dimensional formula of physical quantity X is ... ..
  • a) M1L4T-2
  • b) M2L-2T-1
  • c) M2L-2T-2
  • d) M1L-2T-1
Q.8
If Radiation incident on unit surface area per unit time is Q,P=pressure, C = speed of light and quantity denoted by PxQyCx is dimensionless then the value of x, y and z in is ... .
  • a) x = 1, y = 1, z = -1
  • b) x = 1, y = -1, z = 1
  • c) x=-1, y = 1, z = 1
  • d) x=1, y = 1, z = 1
Q.9
If 1 g cm s-1 = x Ns then x = ...
  • a) 9.8
  • b) 6 × 104
  • c) 0.1
  • d) 10-5
Q.10
Which of the following physical of quantities have same dimensional formula ?
  • a) Torque and power
  • b) Force and torque
  • c) Torque and enegy
  • d) Force and power
Q.11
Match the following
1) Electric Potential V a) VA-1 m) M-1L-2T4A2
2) Capacitance C b) JC-1 n) M1L2T-3A-2
Resistance; c) CV-1 p) M1L2T-3A-1
  • a) 1 -a,b ; 2 -b m; 3 -c,p
  • b) 1 -b,m ; 2 -c, p; 3 -a,n
  • c) 1 -b,p ; 2 -c, m; 3 -a,n
  • d) 1 -a,m ; 2 -b, n; 3 -c,p
Q.12
The length, breadth and thickness of metal sheet are 3.241 m, 1.005m and 2.25 cm respectively. The total area and volume of the sheet to the correct number of significant figure are ... m2 and ... m3
  • a) 6.69, 0.073
  • b) 3.345, 0.037
  • c) 8.72, 0.086
  • d) 6.489, 7.93
Q.13
In the following formula the percentage of error in the measurement of a, b, c and d are 2%, 1%, 6% and 4% respectively. the percentage error in W is ... ..
  • a) 14%
    ch-1_qn-233choice_img_no1.png
  • b) 21%
    ch-1_qn-233choice_img_no2.png
  • c) 16%
    ch-1_qn-233choice_img_no3.png
  • d) 15%
    ch-1_qn-233choice_img_no4.png
Q.14
Write dimensional formula for electromotive force (emf)
ch-1_que_no-234_img_no1.png
  • a) M1L-1T-2Q-2
  • b) M1L2T-2Q-2
  • c) M1L0T-2Q-2
  • d) M1L2T-2Q-1
Q.15
The length, breadth and thickness of a metal sheet are 4.234m, 1.005 m and 2.01cm respectively. Calculate the total area and volume of the sheet to the correct number of significant figures.
  • a) 8.72 m2, 0.086 m3
  • b) 87.2 m2, 0.086 m3
  • c) 8.72 m2, 0.86 m3
  • d) 0.872 m2, 0.086 m3
Q.16
If Z = A4, then the relative error introduced in Z is ..
  • a)
  • b)
  • c)
  • d)
Q.17
The position of particle at any time t is given by following equation. Here v0 is constant and a > o, then the dimensions of v0 and a are
  • a) M0L1T-1 and T-1
    ch-1_qn-239choice_img_no1.png
  • b) M0L1T-1 and L1T-2
    ch-1_qn-239choice_img_no2.png
  • c) M0L1T0 and T-1
    ch-1_qn-239choice_img_no3.png
  • d) M0L1T-1 and T-1
    ch-1_qn-239choice_img_no4.png
Q.18
When the electric current of ( 5 ± 0.5)A flows through the wire. Potential difference developed across it is (40 ± 1) V. Then the resistance of the wire is ....
ch-1_que_no-240_img_no1.png
  • a) (8 ± 1) Ω
  • b) (8 ± 0.5) Ω
  • c) (8 ± 2) Ω
  • d) ( 8 ± 1.5) Ω
Q.19
If the units of a, α and β in following equations are m, s-1 and (ms-1)-1 then units of b γ are...
  • a) m2 and (ms-2)-1
  • b) m2 and ms-2
  • c) m and (ms-2)-1
  • d) m and ms-2
Q.20
1 fm = ... ..nm
ch-1_que_no-242_img_no1.png
  • a) 10-9
  • b) 10-6
  • c) 10+6
  • d) 10-3
Q.21
The dimensional formula for the energy passing through unit area, at any point, per unit time will be .. ...
  • a) M1L1T-3
  • b) M1L0T-3
  • c) M1L0T-1
  • d) M1L2T-2
Q.22
If the frequency (F), velocity (V) and density (D) are taken as fundamental quantities then the dimensional formula for momentum in this new system will be ....
  • a) D-1V-4F3
  • b) D1V4F-3
  • c) D1V1F-2
  • d) D2V2F2
Q.23
In a new system of units if the units of distance, a mass and time are taken as 10cm, 100g and 0.1s respectively then the new unit of force in this system of unit will be ... newton
  • a) 10
  • b) 1.0
  • c) 0.1
  • d) 102
Q.24
Solid angle made by hemisphere at its centre is ... ...
  • a) 2π sr
  • b) π sr
  • c) 4π sr
  • d) 1 sr
Q.25
Dimensional formula of Stefan-Boltzmann's constant is ... . Take dimension of temperature as J
  • a) M1L2T-1K4
  • b) M1L0T-3K-4
  • c) M1L2T-2K4
  • d) M1L2T-3K4
Q.26
Error in measurement of length of a cube is 30% then error in measurement of area of one face is ...
  • a) 12%
  • b) 6%
  • c) 9%
  • d) 3%
Q.27
Density of liquid in CGS unit system is 0.625 g/cm3, find its value in SI unit system
  • a) 0.625
  • b) 0.0625
  • c) 0.00625
  • d) 625
Q.28
Which of the following measurement is more precise
  • a) 5.00 mm
  • b) 5.00 cm
  • c) 5.00 m
  • d) 5.00 km
Q.29
If the units of length and force are increased four times, then the unit of energy will
  • a) increase 8 times
  • b) increase 16 times
  • c) decreases 16 times
  • d) increase 4 times
Q.30
The main scale of an instrument has 20 divisions in 1 cm and 24 divisions of main scale coincides with 25 divisions of vernier scale. The least count of the instrument is ..
  • a) 0.001 cm
  • b) 0.02 cm
  • c) 0.002 cm
  • d) 0.01 cm
0 h : 0 m : 1 s