270
Question
In a methane (CH4) molecule each hydrogen atom is at a corner of a regular tetrahedron with the carbon atom at the centre. In coordinates where one of the C−H bonds is in the direction of ^i+^j+^k , an adjacent C−H bond in the ^i−^j−^k direction. Then angle between these two bonds is.
In a methane (CH4) molecule each hydrogen atom is at a corner of a regular tetrahedron with the carbon atom at the centre. In coordinates where one of the C−H bonds is in the direction of ^i+^j+^k , an adjacent C−H bond in the ^i−^j−^k direction. Then angle between these two bonds is.
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Solution
The correct option is C cos−1(−13)
Given,
→A = ^i+^j+^k
→B = ^i−^j−^k
using,
cosθ = →A.→B|→A||→B|
Substitute the values, we get
cosθ = (^i+^j+^k)(^i−^j−^k)√3√3 = 1−1−13
= −13
Final Answer: (C)
Given,
→A = ^i+^j+^k
→B = ^i−^j−^k
using,
cosθ = →A.→B|→A||→B|
Substitute the values, we get
cosθ = (^i+^j+^k)(^i−^j−^k)√3√3 = 1−1−13
= −13
Final Answer: (C)
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