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Home
Units and Measurements Test - 11
Units and Measurements Test - 11
Result
Units and Measurements Test - 11
/
Score
-
Rank
Time Taken:
-
Question
1/10
4 / -1
The dimensions of gravitational constant G and the moment of inertia are, respectively
Correct
Wrong
Skipped
A
[ML
3
T
-2
], [ML
2
T
0
]
Correct
Wrong
Skipped
B
[M
-1
L
3
T
-2
], [ML
2
T
0
]
Correct
Wrong
Skipped
C
[M
-1
L
3
T
-2
], [M
-1
L
2
T ]
Correct
Wrong
Skipped
D
[ML
3
T
-2
], [M
-1
L
2
T ]
Solutions
Question
2/10
4 / -1
The energy (E), angular momentum (L) and universal gravitational constant (G) are chosen as fundamental quantities. The dimensions of universal gravitational constant in the dimensional formula of Planck's constant (h) is
Correct
Wrong
Skipped
A
zero
Correct
Wrong
Skipped
B
-1
Correct
Wrong
Skipped
C
Correct
Wrong
Skipped
D
1
Solutions
Question
3/10
4 / -1
Correct
Wrong
Skipped
A
time
Correct
Wrong
Skipped
B
mass
Correct
Wrong
Skipped
C
length
Correct
Wrong
Skipped
D
force
Solutions
Question
4/10
4 / -1
Dimensional formula for the universal gravitational consant G is
Correct
Wrong
Skipped
A
[M
-1
L
2
T
-2
]
Correct
Wrong
Skipped
B
[M
0
L
0
T
0
]
Correct
Wrong
Skipped
C
[M
-1
L
3
T
-2
]
Correct
Wrong
Skipped
D
[M
-1
L
3
T
-1
]
Solutions
Question
5/10
4 / -1
The velocity of a particle v at an instant t is given by v = at + bt
2
, the dimension of b is
Correct
Wrong
Skipped
A
[L]
Correct
Wrong
Skipped
B
[LT
-1
]
Correct
Wrong
Skipped
C
[LT
-2
]
Correct
Wrong
Skipped
D
[LT
-3
]
Solutions
Question
6/10
4 / -1
In the relation x =cos (ωt + kx), the dimensions of ω are
Correct
Wrong
Skipped
A
[M
0
LT ]
Correct
Wrong
Skipped
B
[M
0
L
-1
T
0
]
Correct
Wrong
Skipped
C
[M
0
L
0
T
-1
]
Correct
Wrong
Skipped
D
[M
0
LT
-1
]
Solutions
Question
7/10
4 / -1
The air bubble formed by explosion inside water performed oscillation with time period T that is directly proportional to p
a
d
b
E
c
, where p is the pressure, d is the density and E is the energy due to explosion. The values of a, b and c will be
Correct
Wrong
Skipped
A
–5/6, 1/2, 1/3
Correct
Wrong
Skipped
B
5/6, 1/3, 1/2
Correct
Wrong
Skipped
C
5/6, 1/2, 1/3
Correct
Wrong
Skipped
D
None of the these
Solutions
Question
8/10
4 / -1
Dimensional formula for force is
Correct
Wrong
Skipped
A
[ML
2
T
-2
]
Correct
Wrong
Skipped
B
[MLT
-2
]
Correct
Wrong
Skipped
C
[ML
-1
T
-2
]
Correct
Wrong
Skipped
D
[ML
2
T
-3
]
Solutions
Question
9/10
4 / -1
Dimensions of resistance in an electrical circuit, in terms of dimension of mass M, of length L, of time T and current I, would be
Correct
Wrong
Skipped
A
[ML
2
T
-3
I
-1
]
Correct
Wrong
Skipped
B
[ML
2
T
-2
]
Correct
Wrong
Skipped
C
[ML
2
T
-1
I
-1
]
Correct
Wrong
Skipped
D
[ML
2
T
-3
I
-2
]
Solutions
Question
10/10
4 / -1
The speed (v) of ripples on the surface of water depends on surface tension (σ), density (ρ) and wavelength (λ). The square of speed (v
2
) is proportional to
Correct
Wrong
Skipped
A
Correct
Wrong
Skipped
B
Correct
Wrong
Skipped
C
Correct
Wrong
Skipped
D
Solutions
Re-attempt
-
Correct (
-
)
Wrong (
-
)
Skipped (
-
)
1
2
3
4
5
6
7
8
9
10
Re-attempt
-
Correct (
-
)
Wrong (
-
)
Skipped (
-
)
1
2
3
4
5
6
7
8
9
10
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