Question 220: Units , Dimensions and Error Analysis

Question

A travelling microscope is used to determine the refractive index of a glass slab. If 40 divisions are there in 1 cm on main scale and 50 Vernier scale divisions are equal to 49 main scale divisions, then least count of the travelling microscope is __________ $$	imes$$ 10
$$-$$6
m.

Accepted Answer

40 M = 1 cm
$$\Rightarrow$$ M = 0.025 cm .......... (1)
Also, 50 V = 49 M
$$\Rightarrow$$ Least count = M $$-$$ V = M $$-$$ $${{49} \over {50}}$$ M = $${{M} \over {50}}$$
$$\Rightarrow$$ LC = $${{0.025} \over {50}}$$ cm
= $${{250} \over {50}}$$ $$	imes$$ 10
$$-$$6
m
$$\Rightarrow$$ LC = 5 $$	imes$$ 10
$$-$$6
m

Units , Dimensions and Error Analysis

A travelling microscope is used to determine the refractive index of a glass slab. If 40 divisions are there in 1 cm on main scale and 50 Vernier scale divisions are equal to 49 main scale divisions, then least count of the travelling microscope is __________ $\times 10 -$6 m.

Integer / Numeric Answer Type