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Question (11)

QN0034638

When two quantities are divided, the relative error in the result is given by

(A)
the product of the relative error in the individual quantities
(B)
the quotient of the relative error in the individual quantities
(C)
the difference of the relative error in the individual quantities
(D)
the sum of the relative error in the individual quantities

Correct Answer: D

Explanation:

(d) If then

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Question (12)

QN0034639

Two masses and are weighed using same weighing machine. Absolute error and relative error in two measurement are (Assume only systematic errors are involved)

(A)
absolute error same for both, relative error greater for and lesser for .
(B)
absolute error same for both, relative error greater for and lesser for .
(C)
relative error same for both, absolute error greater for and lesser for .
(D)
relative error same for both, absolute error greater for and lesser for .

Correct Answer: A

Explanation:

(a) Fractional error as as

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Question (13)

QN0034640

The refractive index of water measured by the relation is found to have values of , 1.32 and 1.36 ; the mean value of refractive index with percentage error is

(A)
(B)
(C)
(D)

Correct Answer: A

Explanation:

(a) The mean value of refractive index, and

Thus

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Question (14)

QN0034641

If , then

(A)
:
(B)
(C)
(D)

Correct Answer: C

Explanation:

(c)

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Question (15)

QN0034642

Error in the measurement of radius of a sphere is . Then error in the measurement of volume

(A)
(B)
(C)
(D)

Correct Answer: C

Explanation:

(c) ;

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Question (16)

QN0034643

Resistance , here and
A. Find percentage error in .

(A)
(B)
(C)
(D)

Correct Answer: C

Explanation:

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Question (17)

QN0034644

If , then the maximum percentage error in the measurement of will be

(A)
(B)
(C)
(D)

Correct Answer: C

Explanation:

(c) Maximum absolute error is . Therefore the percentage error

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Question (18)

QN0034645

A wire has a mass , radius and length . The maximum percentage error in the measurement of its density is

(A)
1
(B)
2
(C)
3
(D)
4

Correct Answer: D

Explanation:

(d) Density,

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Question (19)

QN0034646

Find equivalent resistance when and when connected in series

(A)
(B)
(C)
(D)
None of these

Correct Answer: A

Explanation:

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Question (20)

QN0034647

If , than relative error in . is equal to

(A)
(B)
(C)
(D)

Correct Answer: B

Explanation:

(b)

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Question (11)

When two quantities are divided, the relative error in the result is given by

Explanation:

Link:

Question (12)

Two masses and are weighed using same weighing machine. Absolute error and relative error in two measurement are (Assume only systematic errors are involved)

Explanation:

Link:

Question (13)

The refractive index of water measured by the relation is found to have values of , 1.32 and 1.36 ; the mean value of refractive index with percentage error is

Explanation:

Link:

Question (14)

If , then

Explanation:

Link:

Question (15)

Error in the measurement of radius of a sphere is . Then error in the measurement of volume

Explanation:

Link:

Question (16)

Resistance , here and A. Find percentage error in .

Explanation:

Link:

Question (17)

If , then the maximum percentage error in the measurement of will be

Explanation:

Link:

Question (18)

A wire has a mass , radius and length . The maximum percentage error in the measurement of its density is

Explanation:

Link:

Question (19)

Find equivalent resistance when and when connected in series

Explanation:

Link:

Question (20)

If , than relative error in . is equal to

Explanation:

Link:

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Resistance , here and
A. Find percentage error in .