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प्रश्न
When a glass slab of refractive index 1.5 is placed on a cross marked on paper, the cross appears to be raised by 2 cm. The thickness of the slab is ______.
पर्याय
3 cm
4 cm
6 cm
8 cm
MCQ
रिकाम्या जागा भरा
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उत्तर
When a glass slab of refractive index 1.5 is placed on a cross marked on paper, the cross appears to be raised by 2 cm. The thickness of the slab is 6 cm.
Explanation:
Given, n = 1.5 and d = 2 cm
The apparent raised height (d) of the cross is related to the thickness (t) of the glass slab and its refractive index (n) by the formula:
d = `t(1 - 1/n)`
Rearranging to find (t):
t = `d/(1 - 1/n)`
= `2/(1 - 1/1.5)`
= `2/(1 - 2/3)`
= `2/(1/3)`
= 6 cm
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