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General Physics

Blazing goIITian

 Joined: 13 Apr 2009 Post: 575
28 Apr 2009 18:53:02 IST
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in aieee 2009 physics..an 8 mrks question was dat.... if x,v,a denote displacement vel .and acc. of
Engineering Entrance , Medical Entrance , NEET , JEE Main , AIIMS , JEE Main & Advanced , Physics , General

in aieee 2009 physics..an 8 mrks question was dat....if x,v,a denote displacement vel .and acc. of a partical executing shm of time period T...which will not change wid time?1)a(square)*t(square)+4pi(Square)v(square)2)aT/x3)aT+2pi v4)aT/vthe answer given is 2)but my doubt is ....on checking da dimensions.....option 4) comes out to b constant( ((m/sec.square)*sec)/(m/sec)=1)...hence it should b da answer....right..

Blazing goIITian

Joined: 11 Mar 2009
Posts: 5564
28 Apr 2009 18:56:36 IST
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Blazing goIITian

Joined: 6 Aug 2007
Posts: 1860
28 Apr 2009 20:01:30 IST
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well seems like one more blunder by those aieee guys...

Blazing goIITian

Joined: 5 Nov 2007
Posts: 507
29 Apr 2009 01:58:21 IST
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Not a blunder. Everything dimensionless need not be a constant.

In, say,  free expansion of a gas, you could write an expression for 'n'(number of moles). This would certainly be dimensionless, and with equal certainity, is increasing with time.

There could be any number of such examples if you consider dimensionless quantities like n, strain etc.

So, the answer shown by Nugorama is perfect.

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