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Published on: 24/08/2019
Units and Measurements
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1.
Find the value of 1 J of energy in CGS system of units.
2.
Wavelength of a laser light is 6463 \(\overset { 0 }{ A } \) . Express it in nm and micron.
3.
How many protons would make 1kg? (Mass of proton = \(1.67\times { 10 }^{ -27 }\) kg)
4.
What are the dimensions of a and b in the relation : F = a + bx, where F is force and (x) is distance?
5.
If \(x=a+bt+ct^{ 2 }\), where x is in meters and t is second, what is the dimensional formula of c?
6.
Which unit is used to measure size of a nucleus?
7.
Which of these is largest : astronomical unit, light year and par sec?
8.
How many light years make 1 par sec?
9.
How many astronomical units make one metre?
10.
Is it possible to have length and velocity both as fundamental quantities? Why?
11.
The dimensions of entropy are _____.
M0L-1T0K
M0L-2T0K2
MLT-2K
ML2T-2K-1
12.
The velocity of a body moving in viscous medium is given by v =\(\frac { A }{ B } \left[ 1-{ e }^{ \frac { -t }{ b } } \right] \)where t is time, A and B are constants .Then the dimensions ot A are _____.
M0L0T0
M0L1T0
M0L1T-2
M1L1T-1
13.
The density of a cube is measured by measuring its mass and the length of its sides. If the maximum errors in the measurement of mass and length are 3% and 2% respectively, then the maximum error in the measurement of density is _____.
9%
9%
9%
9%
14.
The SI units of the universal gravitational constant G are _____.
kg m2 S-2
kg-l m3 S-2
Nm2 kg-2
N kg2m-2
15.
The dimensions of energy per unit volume are the same as those of _____.
pressure
force
modulus of elasticity
all the above
1.
107 CGS units.
2.
646.3 nm,0.6463μ
3.
5.99 × 1026
4.
\([a]=[F]=\left[M L T^{-2}\right]\)
\([b]=\left[\frac{F}{x}\right]=\left[\frac{M L T^{-2}}{L}\right]=\left[M T^{-2}\right]\)
5.
Here, x = [L]
t = [T]; x = ct2
[L] = c × [T2]
\(\Rightarrow \frac{[L]}{\left[T^2\right]}=c \Rightarrow c=\left[L T^{-2}\right]\)
6.
The size of nucleus is measured in fermi
1 fermi = 10-15 m
7.
Par sec is larger than light year which in turn is larger than an astronomical unit.
8.
3.26 light years make 1 par sec
9.
1 m = 6.67 x 10-12 AU
10.
No, since length is fundamental quantity and velocity is the derived quantity.
11.
(d)
ML2T-2K-1
12.
(b)
M0L1T0
13.
(d)
9%
14.
(c)
Nm2 kg-2
15.
(d)
all the above
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