Assertion :An observer looks at a tree of height 15 m with a telescope of magnifying power 10. To him the tree appears to be of length 150 m. Reason: Magnifying power of telescope is the ratio of the angle subtended by the image to that subtended by the object.

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

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Assertion is correct but Reason is incorrect

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Both Assertion and Reason are incorrect

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Solution

The correct option is D Both Assertion and Reason are incorrect
The angle subtended at the eye becomes $10$ times larger.
This is the case when the tree appears $10$ times nearer.
Given that the height of the tree is $15 c m$ . So for an observer the tree appears to be of length $10 \times 15 c m = 150 c m$

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Assertion :An observer looks at a tree of height 15 m with a telescope of magnifying power 10. To him the tree appears to be of length 150 m. Reason: Magnifying power of telescope is the ratio of the angle subtended by the image to that subtended by the object.

The correct option is D Both Assertion and Reason are incorrectThe angle subtended at the eye becomes 10 times larger. This is the case when the tree appears 10 times nearer.Given that the height of the tree is 15cm. So for an observer the tree appears to be of length 10×15cm=150cm