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Q.

Using the expression 2dsinθ=λone calculates the value of d by measuring the corresponding angle θ in the range 00 to 900. The wavelength λ is exactly known and the error in θ is constant for all values of θ, as θ increase from 00.

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a

The absolute error in d remains constant.

b

The absolute error in d will increase.

c

The fractional error in d remains constant.

d

The fractional error in d decreases.

answer is D.

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Detailed Solution

2dsinθ=λ

d=λ2sinθ

logd=logλ2-log(sinθ)

On differentiating,

Δdd=cotθdθ

θcotθ

Δdd will be decreased. 

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