00:05Question says, if momentum is increased and decreased by 20%, then kinetic energy increases
00:16and decreases by, respectively, a. 36% and 44%, b. 44% and 66%, c. 44% and 36%, d.
00:34None of these. As, to find the percentage increase or decrease in kinetic energy,
00:43we will use formula, percentage in kinetic energy will be equal to 2p plus minus p square upon 100, is
01:03to find percentage increase in kinetic energy,
01:06we will take plus and to find percentage decrease in kinetic energy, we will take negative symbol.
01:14So, first we find percentage increase. So, for percentage increase in kinetic energy, we will use the formula.
01:33Percentage increase in kinetic energy will be equal to 2p plus p square upon 100.
01:44So, percentage increase in kinetic energy will be 2 into is percentage increase or decrease in momentum is given as
01:5820%.
01:59So, 20% plus p square means 20% whole square divided by 100.
02:14So, percentage increase in kinetic energy will be equal to 2 into 20% it will be 40% plus
02:25the square of 20 is 400.
02:29So, percentage increase in kinetic energy will be 100% divided by 100.
02:32So, the table of 100 on 100 is 1 times and on 400 is 4 times.
02:39So, percentage increase in kinetic energy will be 40% plus 4%.
02:52So, percentage increase in kinetic energy will be 44%.
03:09Now, percentage decrease in kinetic energy.
03:20For percentage decrease in kinetic energy, we will use the formula.
03:26Percentage decrease in kinetic energy will be equal to 2p minus p square upon 100.
03:36So, percentage decrease in kinetic energy will be 200.
03:44So, percentage decrease in kinetic energy will be 200.
03:44Percentage in momentum is obtained as 20% minus 20% whole square divided by 100.
03:57So, the table of 100 on 100 is 1 times and on 400 is 4 times.
03:59So, percentage decrease in kinetic energy will be 200.
04:02So, percentage decrease in kinetic energy will be 200.
04:03So, percentage decrease in kinetic energy will be 2 into 20% it will be 40% minus the square
04:11of 20 is 400 divided by 100.
04:18So, the table of 100 on 100 is 1 times and on 400 is 4 times.
04:24So, percentage decrease in kinetic energy will be 40% minus 4%.
04:42So, percentage decrease in kinetic energy will be 40% minus 4% it will be 36%.
04:55So, this is percentage decrease in kinetic energy and this is percentage increase in kinetic energy.
05:04So, the correct option will be
05:10C, 44% and 36% means percentage increase in kinetic energy is obtained as 44% and percentage decrease
05:26in kinetic energy is obtained as 36%.
05:29So, percentage decrease in kinetic energy will be 60% and percentage decrease in kinetic energy is obtained as multiplicative.
05:30So, percentage increase in kinetic energy is obtained as much as profound.
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