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1.
In the relation P =
a
/
b
e
(-
a
Z/k
q
)
, P is pressure, Z is distance, k is Boltzmann constant and
q
is temperature. The dimensional formula of
b
will be
a)
[M
0
L
2
T
0
]
b)
[M
2
L
2
T]
c)
[ML
2
T
-1
]
d)
[M
2
L
0
T
-1
]
e)
None
2.
A particle located at y = 0 starts moving along the positive y-direction with velocity
n
that varies as
n
= p
Ö
y. The displacement of the particle varies with time as:
a)
t
b)
t
3
c)
t
2
d)
t
1/2
e)
t
3/2
3.
A bullet of mass m is fired with a certain velocity from a gun of mass M, which is attached to one end of a spring, compresses it by a distance d. If k is the spring constant, then velocity of bullet is
a)
(d/m)
Ö
km
b)
(d/m)
Ö
kM
c)
(mk)
Ö
(1/dM)
d)
(md)
Ö
(1/Mk)
e)
None of these
4.
A vessel contains oil (density = 0.8gcm
-3
) over mercury (density = 13.6gcm
-3
). A homogeneous shpere floats with half its volume immersed in mercury and the other half in oil. The density of the material of the sphere in gcm
-3
is
a)
11.5
b)
6.1
c)
2.2
d)
14.4
e)
7.2