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UNIT DIMENTION

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NEET


Arjuna NEET 2027
Physics
Units and Dimension DPP: 3

Saleem Ahmad Sir

Q1 Vander Waal's gas equation is (C) acceleration, distance, distance, time
(P +
a
) (V − b) = RT . The dimensions of (D) acceleration, acceleration, distance, time
2
V


constant a as given above are: Q5 Suppose refractive index μ is given as
(A) M L 4
T
−2


B
(B) M L 5
T
−2
μ = A +
2
λ
(C) M L3 T −2
(D) M L2 T −2 Where A and B are constants and λ is the
wavelength, then dimensions of B are same as
Q2 For 10(at+3) , if t is time, then the dimension of a
that of
is
(A) Wavelength (B) Volume
(A) [M 0 L0 T 0 ]
(C) Pressure (D) Area
(B) [M 0 L0 T 1 ]
(C) [M 0 L0 T −1 ] Q6 A physical quantity X is defined by the formula
(D) [M
2
0 −1 0 IFv
L T ] X = 3
WL

where I is moment of inertia, F is force, v is
Q3 The dimensional formula of k in y = sin(kx) is
velocity, W is work and L is length, the
(if x is the distance)
dimensions of X are
(A) M 0 L0 T −1
(A) M LT −2
(B) M −1 L−1 T 0
(B) MT
−2

(C) M 0 L−1 T 0
(C) M L2 T −3
(D) M 0 L0 T 0
(D) LT −1
Q4 The velocity (v) of a particle depends upon the
Q7 The dimensions of physical quantity X in the
time (t) according to the equation:
equation, is given by
X
Force =
Density
−− c
v = √ab + bt + . (A) [M 1
L T
4 −2
]
d + t
(B) [M 2
L
−2
T
−1
]

The physical quantities which are represented by (C) [M 2
L
−2
T
−2
]

,
a b, c and d, are in the following order: (D) [M 1
L
−2
T
−1
]

(A) distance, distance, acceleration, time
Q8 The force F is given in terms of time t and
(B) distance, acceleration, distance, time
displacement x by the equation


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