A gas bubble, from an explosion under water, oscillates with a period T proportional to p a d b E c , where p is the static pressure, d is the density of water and E is the total energy of explosion–
(i) The value of a is–
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Ans.
(i)
Sol. T = k p a d b E c ⇒ T = 1(ML
–1 T –2 ) a (ML –3 ) b (ML 2 T –2 ) c ⇒ a + b + c = 0 …..(i)
– a – 3b + 2c = 0 .….(ii)
–2a – 2c = 1 …..(iii)
(ii)
Sol. T = k p
a d b E c ⇒ T = 1(ML
–1 T –2 ) a (ML –3 ) b (ML 2 T –2 ) c ⇒ a + b + c = 0 …..(i)
– a – 3b + 2c = 0 .….(ii)
–2a – 2c = 1 …..(iii)
(iii)
Sol. T = k p
a d b E c ⇒ T = 1(ML
–1 T –2 ) a (ML –3 ) b (ML 2 T –2 ) c ⇒ a + b + c = 0 …..(i)
– a – 3b + 2c = 0 .….(ii)
–2a – 2c = 1 …..(iii)
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