A solid sphere 
of mass 
and radius 
and another sphere 
of mass 
and radius 
are simultaneously released at rest from the top of an inclined plane as shown in figure. The spheres roll without slipping. Also we may consider the spheres and the surface on which they roll to be perfectly rigid. Match Columns I and II
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Column-I
Column- II
(A)
More for sphere 
(p)
Speeds of the two spheres at the bottom of the incline
(B)
More for sphere 
(q)
Time taken by the spheres to reach the bottom
(C)
Same for both spheres
(r)
Angular acceleration
(D)
Zero
(s)
Kinetic energy at the bottom
CODES :
A
B
C
D
a)
C
a
b
d
b)
b
d
a
c
c)
does not m
c
a,b
does notma
d)
d
b
c
a
of mass and radius and another sphere of mass and radius are simultaneously released at rest from the top of an inclined plane as shown in figure. The spheres roll without slipping. Also we may consider the spheres and the surface on which they roll to be perfectly rigid. Match Columns I and IIColumn-I
Column- II
(A)
More for sphere
(p)
Speeds of the two spheres at the bottom of the incline
(B)
More for sphere
(q)
Time taken by the spheres to reach the bottom
(C)
Same for both spheres
(r)
Angular acceleration
(D)
Zero
(s)
Kinetic energy at the bottom
CODES :
A
B
C
D
a)
C
a
b
d
b)
b
d
a
c
c)
does not m
c
a,b
does notma
d)
d
b
c
a
Question ID - 101076 | SaraNextGen Top Answer A solid sphere of mass and radius and another sphere of mass and radius are simultaneously released at rest from the top of an inclined plane as shown in figure. The spheres roll without slipping. Also we may consider the spheres and the surface on which they roll to be perfectly rigid. Match Columns I and II
Column-I
Column- II
(A)
More for sphere
(p)
Speeds of the two spheres at the bottom of the incline
(B)
More for sphere
(q)
Time taken by the spheres to reach the bottom
(C)
Same for both spheres
(r)
Angular acceleration
(D)
Zero
(s)
Kinetic energy at the bottom
CODES :
A
B
C
D
a)
C
a
b
d
b)
b
d
a
c
c)
does not m
c
a,b
does notma
d)
d
b
c
a
A solid sphere of mass and radius and another sphere of mass and radius are simultaneously released at rest from the top of an inclined plane as shown in figure. The spheres roll without slipping. Also we may consider the spheres and the surface on which they roll to be perfectly rigid. Match Columns I and II
|
Column-I |
Column- II |
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|
(A) |
More for sphere |
(p) |
Speeds of the two spheres at the bottom of the incline |
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|
(B) |
More for sphere |
(q) |
Time taken by the spheres to reach the bottom |
||||||
|
(C) |
Same for both spheres |
(r) |
Angular acceleration |
||||||
|
(D) |
Zero |
(s) |
Kinetic energy at the bottom |
||||||
|
CODES : |
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|
|
A |
B |
C |
D |
|
|
|||
|
a) |
C |
a |
b |
d |
|
|
|||
|
b) |
b |
d |
a |
c |
|
|
|||
|
c) |
does not m |
c |
a,b |
does notma |
|
|
|||
|
d) |
d |
b |
c |
a |
|
|
|||
(c)
Velocity of two sphere will be the same at the bottom
where
So kinetic energy of smaller mass will be more at the bottom
Also 
and
As 
, for smaller sphere, 
and the larger sphere 
Whereas 
time will be the same for both the spheres as 
will be same