Physics
General
Easy
Question
1+2j+2k, calculate the angle between
and Y axis
- sin-1
![fraction numerator square root of 5 over denominator 3 end fraction](data:image/png;base64,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)
- sin-1
![fraction numerator 1 over denominator square root of 3 end fraction](data:image/png;base64,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)
- sin-1
![fraction numerator square root of 10 over denominator 3 end fraction](data:image/png;base64,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)
- cos-1
![fraction numerator square root of 5 over denominator 3 end fraction](data:image/png;base64,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)
The correct answer is: sin-1 ![fraction numerator square root of 5 over denominator 3 end fraction](data:image/png;base64,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)
Related Questions to study
physics
and
are in opposite direction so they are
and
are in opposite direction so they are
physicsGeneral
physics
=
is true, if
=
is true, if
physicsGeneral
physics
and
are equal vectors what from the followings is true
and
are equal vectors what from the followings is true
physicsGeneral
physics
Which from the following is a scalar ?
Which from the following is a scalar ?
physicsGeneral
maths-
The greatest positive integer which divide
is
The greatest positive integer which divide
is
maths-General
maths-
The sets
are given by
then the sum of numbers in the set
is :
The sets
are given by
then the sum of numbers in the set
is :
maths-General
maths-
If ![S subscript 1 equals left curly bracket 1 right curly bracket comma S subscript 2 equals left curly bracket 2 comma 4 right curly bracket comma S subscript 3 equals left curly bracket 3 comma 6 comma 9 right curly bracket S subscript 4 equals left curly bracket 4 comma 8 comma 12 comma 16 right curly bracket comma horizontal ellipsis horizontal ellipsis](data:image/png;base64,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)
then sum of the numbers in the set is
If ![S subscript 1 equals left curly bracket 1 right curly bracket comma S subscript 2 equals left curly bracket 2 comma 4 right curly bracket comma S subscript 3 equals left curly bracket 3 comma 6 comma 9 right curly bracket S subscript 4 equals left curly bracket 4 comma 8 comma 12 comma 16 right curly bracket comma horizontal ellipsis horizontal ellipsis](data:image/png;base64,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)
then sum of the numbers in the set is
maths-General
maths-
If
is even,
terms
, if
is odd then ![S subscript n equals](data:image/png;base64,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)
If
is even,
terms
, if
is odd then ![S subscript n equals](data:image/png;base64,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)
maths-General
biology
Central Rice Research Institute (CRRI) is situated at
Central Rice Research Institute (CRRI) is situated at
biologyGeneral
physics
In the above figure
and
are two vectors. What from followings is true
![](data:image/png;base64,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)
In the above figure
and
are two vectors. What from followings is true
![](data:image/png;base64,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)
physicsGeneral
physics
Which pair of two vectors is antiparallel
Which pair of two vectors is antiparallel
physicsGeneral
physics
To introduce a vector quantity.....
To introduce a vector quantity.....
physicsGeneral
physics
Motion of a particle is described by x=(t-2)2 Find its velocity when it passes through origin.
Motion of a particle is described by x=(t-2)2 Find its velocity when it passes through origin.
physicsGeneral
physics
An object moves in x-y plane. Equations for displacement in x and y direction are x=3sin 2t. and y=3cos2t Speed of the particle is
An object moves in x-y plane. Equations for displacement in x and y direction are x=3sin 2t. and y=3cos2t Speed of the particle is
physicsGeneral
physics
The relation between velocity and position of a particle is given by V=
. Its initial velocity is zero. Find its velocity at time t=![1 over B](data:image/png;base64,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)
The relation between velocity and position of a particle is given by V=
. Its initial velocity is zero. Find its velocity at time t=![1 over B](data:image/png;base64,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)
physicsGeneral