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Ask iit jee aieee pet cbse icse state board experts Expert Question: Units and dimensions- For Deepak Bhaiya and all experts
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siddhanthsharma (0)

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A physical quantity is measured and the result is expressed as nu where u is unit used and n is the numerical value.If the result is expressed in various units then-:
a.n is directly prop. to size of u
b.n is prop. to u sq.
c.n is prop. to sqrt. of u
d.n is prop. to 1/u
and explain sideways

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KAB (1674)

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Hi Siddhanth,
The ans is d).
Now suppose you are measuring the length of a thread.You found it to be 1 metre.Here n=1 and u is metre.Now if you express it in kilometres then it will be 1/1000km ie n is prop to 1/u.ie as the value of a unit increases the numerical value decreases.
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dear friend i think ur from narayana
                  but refer that r  u from which branch of narayana and post ur message to priyatamau@yahoo.co.in        as iam also from narayana can u pls reply me ok
 
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siddhanthsharma (0)

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I am from Punjabi Bagh
NSER batch

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deepak_agarwal (539)

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the ans is (a).....see the example in the second post is very specific....n is proportional to how big the unit u is ...when m to cm them the unit is 100 times bigger...when m to km them unit u is 1000 times smaller or 1/1000 bigger....so it is proportional...right!!!!

a 2nd year IIT DELHI student, doing B.Tech in chemical engineering
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kghedriu (2343)

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n is proportional to 1/u is correct. Bcos, lets consider a quantity 1000g . Whether u express it as 1000g or 1kg makes no difference.i.e, u r using the law of equivalency . i.e, as u r making the unit larger, u r making the numerical value smaller so as to maintain the balance of quantity. Hence (d) is correct.
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karthik_abiram (1222)

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hiii,
The answer is option [d]
for u to understand,
nu  implies if n INCREASES "u" SHOULD INCREASE.it is said as "n" is directly proportional to "u".
n1/u implies if n INCREASES 1/u SHOULD INCREASE  or  "u" should  DECREASE.it is said as  "n" is inversely proportional to "u"
pl correct me if i am wrong
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paridhi_aggarwal (81)

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well i too think the answer is [d].. since as the the units increase the numerical value decrases. Like we have suppose 1 m for an example . it is expressed as 100 cm and 1/1000km so as the unit decreases the numerical value increases and vice-versa
so n is directly prop. to 1/u and hence the [d] option is correct.

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