Q.

Two spheres A and B with masses in the ratio 2 : 3 and specific heat 2 : 3 fall freely from rest. If the rise in their temperatures on reaching the ground are in the ratio 1 : 2 the ratio of their heights of fall is

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a

3 : 1

b

3 : 4

c

1 : 3

d

4 : 3

answer is B.

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Detailed Solution

mA:mB=2:3;   sA:sB=2:3ΔθA:ΔθB=1:2;    mgh=JmsΔθ;   hsΔθhAhB=sAsB×ΔθAΔθB=23×12=1:3

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Two spheres A and B with masses in the ratio 2 : 3 and specific heat 2 : 3 fall freely from rest. If the rise in their temperatures on reaching the ground are in the ratio 1 : 2 the ratio of their heights of fall is