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.]
-
0%
a) 2
-
33%
b) 3
-
33%
c) 6
-
33%
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.]
-
25%
a) 0.1%
-
75%
b) 1%
-
0%
c) 10%
-
0%
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.]
-
0%
a) M1L1T-1
-
100%
b) M1L1/2 T-2
-
0%
c) M1L1T-2
-
0%
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.]
-
0%
a) r1/2
-
67%
b) r3/2
-
0%
c) r
-
33%
d) r3
Q.5.
The formula for a physical quantity is here x, y,z are length . this physical quantity is ... ... [ Guj T.B. ]
-
0%
a) velocity
-
0%
b) length
-
50%
c) area
-
50%
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]
-
0%
a) time
-
100%
b) angle
-
0%
c) mass
-
0%
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. ]
-
0%
a) C0gP-3
-
100%
b) C2g3p-2
-
0%
c) C0g2P-1
-
0%
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.]
-
0%
a)(5000 ± 650)
-
0%
b) ( 500 ± 65 )
-
0%
c) (5000 ± 600 )
-
100%
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.]
-
0%
a) 8.5
-
50%
b) 8.6
-
0%
c) 8.7
-
50%
d) 8.9
Explanation
Q.10.
1 radian = ... ..
-
0%
a)
-
0%
b)
-
0%
c)
-
100%
d)
Q.11.
Rounding off 9637 up to two digit, we get
-
50%
a) 9600
-
0%
b) 9630
-
50%
c) 9640
-
0%
d) 9700
Q.12.
Number of significant figure in 0.00230 is ....
-
0%
a) 5
-
0%
b) 3
-
50%
c) 4
-
50%
d) None
Q.13.
A sphere has radius r with area A = 4πr2 then waht will be the equation of relative error ΔA/A ?
-
0%
a)
-
0%
b)
-
0%
c)
-
100%
d)
Q.14.
What is the weight of particle having mass 100 grams?
-
50%
a) 9.8 N
-
0%
b) 9.8 × 104N
-
0%
c) 9.8 ×104 dyne
-
50%
d) 980 dyne
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)
-
0%
a) acceleration
-
0%
b) velocity
-
0%
c) displacement
-
100%
d) momentum
Q.16.
Dimensional formula for angular velocity is ... ...
-
0%
a) M0L0T1
-
0%
b) M0L1T-1
-
50%
c) M0L0T-1
-
50%
d) M0L0T-2
Q.17.
Wave length of visible light is 0.00006 m then it is =...
-
0%
a) 6 microm
-
0%
b) 60 micron
-
0%
c) 600 micron
-
100%
d) 0.6 micron
Q.18.
In series connection of resistance Rs = R1+R2 then what is the equation of relative error ....
-
0%
a)
-
0%
b)
-
100%
c)
-
0%
d)
Explanation
Q.19.
For resistance R = V/I, V = 100 ± 5 volts and I = 10 ±0.02 ampere, then calculate percentage error in resistance R
-
0%
a) 5%
-
0%
b) 7%
-
100%
c) 5.2%
-
0%
d) 2.5%
Q.20.
The percentage error in 125.0±0.5cm is ....
-
0%
a) 4%
-
0%
b) 0.04%
-
50%
c) 0.4%
-
50%
d) 40%
Explanation
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
-
50%
a) km/s
-
50%
b) km-s
-
0%
c) km/s2
-
0%
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.
-
0%
a) m = 1, n = 1
-
50%
b) m = 1, n = 2
-
0%
c) m = 2, n = 1
-
50%
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
-
0%
a)
-
0%
b)
-
100%
c)
-
0%
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.]
-
0%
a) 14%
-
100%
b) 1.4%
-
0%
c) 1.04%
-
0%
d) 1.44%
Q.25.
S = A(1 -e-Bxt), where S = speed, x = displacement t = times then unit of B is ...
-
0%
a) m-1 s-1
-
0%
b) m-2 s
-
0%
c) s-2
-
100%
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 |
-
50%
a) 1 -a, 2 -f, 3 -e, 4 -d
-
0%
b) 1 -c, 2 -f, 3 -a, 4 -e
-
0%
c) 1 -c, 2 -f, 3 -a, 4 -b
-
50%
d) 1 -b, 2 -f, 3 -a, 4 -c
Explanation
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 |
-
50%
a) a -5, b-4, c -2, d -1
-
50%
b) a -3, b -2, c -4, d -1
-
0%
c) a -5, b -2, c -4, d -3
-
0%
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 |
-
0%
a) a -3, b -6, c -1, d -5, e -2, f -4
-
0%
b) a -3, b -6, c -5, d -2, e -4, f -1
-
100%
c) a -3, b -5, c -2, d -4, e -21, f -6
-
0%
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
-
0%
a) Both Assertion and Reason are true and Reason is the correct explanation of Assertion
-
100%
b) The Assertion and Reason are true but Reason is not correct explanation of Assertion
-
0%
c) Assertion is true but, Reason is false
-
0%
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
-
0%
a) Both Assertion and Reason are true and Reason is the correct explanation of Assertion
-
50%
b) The Assertion and Reason are true but Reason is not correct explanation of Assertion
-
0%
c) Assertion is true but, Reason is false
-
50%
d) Assertion is false but, Reason is true