The graph between force and extension for two springs is shown in figure below then find the ratio between the spring constant
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00:00Question says, the graph between force and extension for two springs is shown in figure
00:14below.
00:16Then find the ratio between the spring constant, a, 1 ratio 3, b, 3 ratio 1, c, 1 ratio 1,
00:29d, 9 ratio 1 is the angle of k1 is 60 degree and the angle of k2 is 30 degree along the
00:43x axis and force is taken along y axis and extension or displacement is taken along x
00:53axis is spring constant is equal to force upon extension or displacement means force
01:08and extension gives the slope of spring constant is the slope of spring constant is calculated
01:23by using formula tan theta so we have to find the ratio of k1 and k2 is k1 upon k2 is equal
01:44to tan theta 1 divided by tan theta 2 here the angle of k1 is 60 degree so tan 60 degree
02:06divided by the angle of k2 is 30 degree so tan 30 degree as the ratio of spring constants
02:21will be obtained as the value of tan 60 is under root 3 divided by tan 30 the value of
02:32tan 30 is 1 upon under root 3 so we can also write this as under root 3 divided by 1 upon
02:49under root 3 so the ratio of spring constants will be obtained as under root 3 when we will
03:01change deviant into multiplication then it will be under root 3 upon 1 so under root 3 into under
03:12root 3 it will be 3 upon 1 so the ratio of spring constants means k1 ratio k2 is obtained as 3 ratio
03:30so the correct option will be b 3 ratio 1