Q.1
The mass M of stone is flowing river depends on the speed v of a water, its density ρ and gravitational acceleration g. Then with the help of dimensional analysis, the mas of stone is ... times proportional to the power of the speed of water.... .... [ Guj T.B.]
  • a) 2
  • b) 3
  • c) 6
  • d) 8
Q.2
The observation in experiment, length of rod are 2.51m, 2.56m, 2.49m then percentage error in length is ... ... [ Guj T.B.]
  • a) 0.1%
  • b) 1%
  • c) 10%
  • d) 0.01%
Q.3
If F = a√x + bt2 formula is dimensionally valid then what is the dimensional formula for 'a', here F= force and x = distance, t = time) ... .... [ Guj T.B.]
  • a) M1L1T-1
  • b) M1L1/2 T-2
  • c) M1L1T-2
  • d) M0L-1/2T2
Q.4
The periodic time T of the satellite revolving around the planet on circular orbit depends on a mass m, radius r and universal gravitational constant G, then T2 ∝ ... .. [ Guj T.B.]
  • a) r1/2
  • b) r3/2
  • c) r
  • d) r3
Q.5
The formula for a physical quantity is here x, y,z are length . this physical quantity is ... ... [ Guj T.B. ]
  • a) velocity
  • b) length
  • c) area
  • d) volume
Q.6
If E, M, L and G are energy, mass, angular momentum nad gravitational constnat respectively the dimensional formula of following equation will be ... ... [ Guj T.B]
ch-1_que_no-180_img_no1.png
  • a) time
  • b) angle
  • c) mass
  • d) length
Q.7
If velocity of light is C, gravitational acceleration g and pressure P taken as fundamental unit then gravitational constant is ... .... [ Guj T.B. ]
ch-1_que_no-181_img_no1.png
  • a) C0gP-3
  • b) C2g3p-2
  • c) C0g2P-1
  • d) C2g2P-3
Q.8
A ground has length (100 ± 5) m and breadth (50 ± 4) m, then area of ground is ...m2 .... ... [ Guj T.B.]
  • a)(5000 ± 650)
  • b) ( 500 ± 65 )
  • c) (5000 ± 600 )
  • d) (500 ± 650)
Q.9
To make mixed metal, the mass of gold is 1.45g, silver is 2.613 g, copper is 2.8 g and zinc is 1.79g. the mass of mixed metal is ... in terms of significant figure ... ... [ Guj T.B.]
  • a) 8.5
  • b) 8.6
  • c) 8.7
  • d) 8.9
Q.10
1 radian = ... ..
  • a)
  • b)
  • c)
  • d)
Q.11
Rounding off 9637 up to two digit, we get
  • a) 9600
    ch-1_qn-185choice_img_no1.png
  • b) 9630
    ch-1_qn-185choice_img_no2.png
  • c) 9640
    ch-1_qn-185choice_img_no3.png
  • d) 9700
    ch-1_qn-185choice_img_no4.png
Q.12
Number of significant figure in 0.00230 is ....
  • a) 5
  • b) 3
  • c) 4
  • d) None
Q.13
A sphere has radius r with area A = 4πr2 then waht will be the equation of relative error ΔA/A ?
  • a)
  • b)
  • c)
  • d)
Q.14
What is the weight of particle having mass 100 grams?
  • a) 9.8 N
    ch-1_qn-188choice_img_no1.png
  • b) 9.8 × 104N
    ch-1_qn-188choice_img_no2.png
  • c) 9.8 ×104 dyne
    ch-1_qn-188choice_img_no3.png
  • d) 980 dyne
    ch-1_qn-188choice_img_no4.png
Q.15
If the force F is represented by equation F = Pt-1 + Qt then unit of P is same as that of .... (t=time)
  • a) acceleration
  • b) velocity
  • c) displacement
  • d) momentum
Q.16
Dimensional formula for angular velocity is ... ...
  • a) M0L0T1
  • b) M0L1T-1
  • c) M0L0T-1
  • d) M0L0T-2
Q.17
Wave length of visible light is 0.00006 m then it is =...
  • a) 6 microm
  • b) 60 micron
  • c) 600 micron
  • d) 0.6 micron
Q.18
In series connection of resistance Rs = R1+R2 then what is the equation of relative error ....
  • a)
  • b)
  • c)
  • d)
Q.19
For resistance R = V/I, V = 100 ± 5 volts and I = 10 ±0.02 ampere, then calculate percentage error in resistance R
  • a) 5%
    ch-1_qn-199choice_img_no1.png
  • b) 7%
    ch-1_qn-199choice_img_no2.png
  • c) 5.2%
    ch-1_qn-199choice_img_no3.png
  • d) 2.5%
    ch-1_qn-199choice_img_no4.png
Q.20
The percentage error in 125.0±0.5cm is ....
  • a) 4%
  • b) 0.04%
  • c) 0.4%
  • d) 40%
Q.21
Equation of displacement is x = at + bt2 where x is distnce in kilometer and time t in seconds then unot of b is
  • a) km/s
  • b) km-s
  • c) km/s2
  • d) km -s2
Q.22
'a' is the acceleration of an object in equation x = Kamtn where t is time, then calculate the value of m and n.
  • a) m = 1, n = 1
  • b) m = 1, n = 2
  • c) m = 2, n = 1
  • d) m =2, n = 2
Q.23
For parallel connection of resistors equivalent resistance is given by following equation then which of the following equation is true
  • a)
  • b)
  • c)
  • d)
Q.24
Percentgae error in mass and length are 0.26% nad 0.38% respectively then what is the percentage error in density? [ guj T.B.]
ch-1_que_no-204_img_no1.png
  • a) 14%
    ch-1_qn-204choice_img_no1.png
  • b) 1.4%
    ch-1_qn-204choice_img_no2.png
  • c) 1.04%
    ch-1_qn-204choice_img_no3.png
  • d) 1.44%
    ch-1_qn-204choice_img_no4.png
Q.25
S = A(1 -e-Bxt), where S = speed, x = displacement t = times then unit of B is ...
  • a) m-1 s-1
  • b) m-2 s
  • c) s-2
  • d) s-1
Q.26
Match the following
1) joule a) henry ×ampere/sec
2) watt b) farady ×volt
3) volt c) cooumb × volt
4) coloumb d) orestad × cm
- - e) ampere × gauss
- - f) (ampere)2 × ohm
  • a) 1 -a, 2 -f, 3 -e, 4 -d
  • b) 1 -c, 2 -f, 3 -a, 4 -e
  • c) 1 -c, 2 -f, 3 -a, 4 -b
  • d) 1 -b, 2 -f, 3 -a, 4 -c
Q.27
Match the following ...
I II
a) distance between earth and star 1) Micron
b) inter molecular distance in solids 2) Angstrom
c) dimensions of molecule 3) light year
d) wave length of infrared rays 4) fermi
- - 5) kilometer
  • a) a -5, b-4, c -2, d -1
  • b) a -3, b -2, c -4, d -1
  • c) a -5, b -2, c -4, d -3
  • d) a -3, b-4, c -1, d -2
Q.28
Match the following
a) angular momentum 1) M1L2T-2
b) latent heat 2) M1L2Q-2
c) torque 3) M1L2T-1
d) tcapacitance 4) M1L3T-1Q-2
e) inductance 5) M-1L-2T2Q2
f) resistance 6) M0L2T-2
  • a) a -3, b -6, c -1, d -5, e -2, f -4
  • b) a -3, b -6, c -5, d -2, e -4, f -1
  • c) a -3, b -5, c -2, d -4, e -21, f -6
  • d) a -6, b -5, c -2, d -4, e -1, f -3
Q.29
Assertion: Method of dimensions cannot be used for deriving formula containing trigonometric ratios Reason: This is because trigonometric ratios have no dimensions
  • a) Both Assertion and Reason are true and Reason is the correct explanation of Assertion
  • b) The Assertion and Reason are true but Reason is not correct explanation of Assertion
  • c) Assertion is true but, Reason is false
  • d) Assertion is false but, Reason is true
Q.30
Assertion: In the following , m is linear mass density Reason" Linear mass density = mass/ volume
  • a) Both Assertion and Reason are true and Reason is the correct explanation of Assertion
  • b) The Assertion and Reason are true but Reason is not correct explanation of Assertion
  • c) Assertion is true but, Reason is false
  • d) Assertion is false but, Reason is true
0 h : 0 m : 1 s