Assertion -A particle is projected with velocity u- at angle 45- with ground- Let v- be the velocity of particle at time t - 0 - then value of u-v- can be zero- Reason- Value of dot product is zero when angle between two vectors is 90-

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Standard XII

Physics

Constrained Motion : Intuitive Approach

Assertion :A ...

Question

Assertion :A particle is projected with velocity $\to u$ at angle $45^{\circ}$ with ground. Let $\to v$ be the velocity of particle at time $t (\neq 0),$ then value of $\to u . \to v$ can be zero. Reason: Value of dot product is zero when angle between two vectors is $90^{\circ} .$

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 is incorrect but Reason is correct.

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Solution

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
Both statements are correct but statement 2 doesn't accurately explain statement 1. Dot product will be zero when body is moving in the downward direction and with a velocity inclined at an angle of 135 degrees, which would make angle between initial and that velocity as 90 degrees, thus making dot product zero.

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Assertion :A particle is projected with velocity →u at angle 45∘ with ground. Let →v be the velocity of particle at time t(≠0), then value of →u.→v can be zero. Reason: Value of dot product is zero when angle between two vectors is 90∘.

Assertion :A particle is projected with velocity $\to u$ at angle $45^{\circ}$ with ground. Let $\to v$ be the velocity of particle at time $t (\neq 0),$ then value of $\to u . \to v$ can be zero. Reason: Value of dot product is zero when angle between two vectors is $90^{\circ} .$