Suppose refractive index is given as,
where P and Q are constants and v is the speed of light and is the wavelength, then dimensions of Q are the same as that of
A.
Wavelength
B.
Volume
C.
Force
D.
Acceleration
2.
The Equation of stationary wave is then which of the following is false:
A.
B.
C.
D.
3.
In the Equation the dimensional formula for will be
A.
MLT
B.
C.
D.
4.
For any spring of spring constant k, the frequency of vibrations ‘f’ is given by the formula f = Xm^{a}k^{b}, where X is a dimensionless constant. The value of ‘a’ and ‘b’ are, respectively:
A.
B.
C.
D.
5.
What will be the dimensions of the mass, if C (velocity of light), g (acceleration due to gravity), and P (atmospheric pressure) are considered as the fundamental Quantities in the MKS system?
A.
C/g
B.
Pg
C.
PCg
D.
C/P
6.
In Searle’s experiment to find Young’s modulus, the diameter of the wire is measured as d=0.050 cm, and the length of the wire is L = 100 cm. When a weight of 10.0 kg is placed, the extension in the wire was found to be 0.200 cm. The maximum permissible error (percentage) in Young’s modulus is:
A.
6.5
B.
4.3
C.
5.8
D.
4.9
7.
A physical Quantity V depends on time as V = V_{0 }(1+ e), where is a constant and t is time, then which of the following is true:
A.
α is a dimensionless constant
B.
Has dimensions of T^{2}
C.
α has dimensions of V
D.
Has dimensions of LT^{-2}
8.
The banking of roads is explained with the formula here v is the speed of the object, r is the radius of the curve formed and g is the gravitational acceleration. Choose the correct statement about this relation.
A.
Above expression may be dimensionally correct but numerically it is wrong
B.
Above expression is dimensionally as well as numerically correct
C.
Above expression is dimensionally as well as numerically wrong
D.
Above expression is dimensionally incorrect but numerically it is correct
9.
The product of permittivity of free space and the permeability of free space has the dimensions equal to the:
A.
B.
C.
D.
10.
What will be the dimensions a b of according to the relation where E = is Energy, x is displacement and t is time?
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Sample Question
Which formula is used to determine the efficiecy of the boiler based on heat absorption?