NEET
Arjuna NEET 2027
Physics
Units and Dimension DPP:2
Saleem Ahmad Sir
Q1 A force defined by F = αt
2
+ βt acts on a (D) A : LT, B : LT
−2
particle at a given time t. The factor which is
Q6 The potential energy U of a particle varies with
dimensionless, if α and β are constants, is: A√x
distance x from a fixed origin as U =
2
x +B
[NEET 2024] where A and B are dimensional constants. The
(A) βt/α dimensional formula for AB is:
(B) αt/β (A) M1 L
7/2
T
−2
(C) αβt (B) M1 L
11/2
T
−2
(D) αβ/t (C) M1 L
5/2
T
−2
(D) M1 L
9/2
T
−2
Q2 If the force is given by F = at + bt
2
with t as
time. The dimensions of a and b are; Q7 If P , Q, R are physical quantities, having
(A) [M LT −4
] and [M LT
−2
] different dimensions, which of the following
(B) [M LT −3
] and [M LT
−4
] combinations can never be a meaningful
(C) [M L 2
T
−3
] and [M L T
2 −2
] quantity?
(D) [M L 2
T
−3
] and [M L T
3 −4
] (A) (P −Q)
R
(B) P Q − R
Q3 The force is given in terms of time t and
(C) PQ
displacement x by the equation R
(D)
2
F = A cos Bx + C sin Dt.
(P R−Q )
R
The dimensional formula of AD
B
is;
(A) [M 0 LT −1 ] (B) [M L2 T −3 ] Q8 Which of the following equations is dimensionally
correct?
(C) [M 1 L1 T −2 ] (D) [M 2 L2 T −3 ]
(A) s = at
Q4 In the expression P (B) Q
2
is pressure, t is
a−t
= , P = It
bx
time and x is the distance. The dimension of a
(C) v = gt
2
b
will be; (D) v = at + gt
2
(A) [LT 2 ] (B) [M T −2 ]
Q9 Two quantities A and B have different
(C) [M L2 T −4 ] (D) [M 2 LT −2 ] dimensions. Which mathematical operation given
below is physically meaningful ?
Q5 If the velocity v of a particle is given by
(A) A/B
v = At + Bt
2
, where A and B are constants,
(B) A + B
what are the dimensions of A and B ?
(C) A − B
(A) A : LT
−1
, B : LT
−2
(D) None of these
(B) A : LT
−2
, B : LT
−3
(C) A : LT
−2
, B : LT
−4
Master NCERT with PW Books APP
Arjuna NEET 2027
Physics
Units and Dimension DPP:2
Saleem Ahmad Sir
Q1 A force defined by F = αt
2
+ βt acts on a (D) A : LT, B : LT
−2
particle at a given time t. The factor which is
Q6 The potential energy U of a particle varies with
dimensionless, if α and β are constants, is: A√x
distance x from a fixed origin as U =
2
x +B
[NEET 2024] where A and B are dimensional constants. The
(A) βt/α dimensional formula for AB is:
(B) αt/β (A) M1 L
7/2
T
−2
(C) αβt (B) M1 L
11/2
T
−2
(D) αβ/t (C) M1 L
5/2
T
−2
(D) M1 L
9/2
T
−2
Q2 If the force is given by F = at + bt
2
with t as
time. The dimensions of a and b are; Q7 If P , Q, R are physical quantities, having
(A) [M LT −4
] and [M LT
−2
] different dimensions, which of the following
(B) [M LT −3
] and [M LT
−4
] combinations can never be a meaningful
(C) [M L 2
T
−3
] and [M L T
2 −2
] quantity?
(D) [M L 2
T
−3
] and [M L T
3 −4
] (A) (P −Q)
R
(B) P Q − R
Q3 The force is given in terms of time t and
(C) PQ
displacement x by the equation R
(D)
2
F = A cos Bx + C sin Dt.
(P R−Q )
R
The dimensional formula of AD
B
is;
(A) [M 0 LT −1 ] (B) [M L2 T −3 ] Q8 Which of the following equations is dimensionally
correct?
(C) [M 1 L1 T −2 ] (D) [M 2 L2 T −3 ]
(A) s = at
Q4 In the expression P (B) Q
2
is pressure, t is
a−t
= , P = It
bx
time and x is the distance. The dimension of a
(C) v = gt
2
b
will be; (D) v = at + gt
2
(A) [LT 2 ] (B) [M T −2 ]
Q9 Two quantities A and B have different
(C) [M L2 T −4 ] (D) [M 2 LT −2 ] dimensions. Which mathematical operation given
below is physically meaningful ?
Q5 If the velocity v of a particle is given by
(A) A/B
v = At + Bt
2
, where A and B are constants,
(B) A + B
what are the dimensions of A and B ?
(C) A − B
(A) A : LT
−1
, B : LT
−2
(D) None of these
(B) A : LT
−2
, B : LT
−3
(C) A : LT
−2
, B : LT
−4
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