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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

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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..

Comments (3)

NugoRama

Blazing goIITian

Joined: 11 Mar 2009

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28 Apr 2009 18:56:36 IST

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http://www.goiit.com/posts/list/mechanics-another-1-aieee-09-930530.htm#997520

Killer Kiran

Blazing goIITian

Joined: 6 Aug 2007

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28 Apr 2009 20:01:30 IST

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well seems like one more blunder by those aieee guys...

Learner .

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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