361780
A hall has the dimensions \(10m \times 12m \times 14m.\) A fly starting at one corner ends up at a diagonally opposite corner. What is the magnitude of its displacement (nearly)
1 \(26\,m\)
2 \(17\,m\)
3 \(21\,m\)
4 \(36\,m\)
Explanation:
Diagonal of the hall \( = \sqrt {{l^2} + {b^2} + {h^2}} \) \( = \sqrt {{{10}^2} + {{12}^2} + {{14}^2}} \) \( = \sqrt {440} = 20.9 \approx 21m.\)
PHXI04:MOTION IN A PLANE
361781
If \({|\vec{a}|=3 \sqrt{2}}\) and \({|\vec{b}|=6 \sqrt{2}}\) for the following figure, then \({x}\) component of \({(\vec{a}+\vec{b})}\).
1 3
2 \({3 \sqrt{2}}\)
3 9
4 \({9 \sqrt{2}}\)
Explanation:
\({\because x}\) component of \({\vec{b}}\) is zero. \({\therefore x}\) component of \({(\vec{a}+\vec{b})}\) is \(\vec{a} \cos 45^{\circ}=3 \sqrt{2} \times \dfrac{1}{\sqrt{2}}=3\)
PHXI04:MOTION IN A PLANE
361782
A force of 5\(N\) acts on a particle along a direction making an angle of \({\rm{60}}^\circ \) with vertical. Its vertical component will be
1 \(3\,N\)
2 \(10\,N\)
3 \(2.5\,N\)
4 \(4\,N\)
Explanation:
The component of force in vertical direction \( = F\cos \theta = F\cos 60^\circ = 5 \times \frac{1}{2} = 2.5N\)
PHXI04:MOTION IN A PLANE
361783
The angle made by the vector \(\overrightarrow {\rm{A}} = \hat i + \hat j\) with \(x\)- axis is
361780
A hall has the dimensions \(10m \times 12m \times 14m.\) A fly starting at one corner ends up at a diagonally opposite corner. What is the magnitude of its displacement (nearly)
1 \(26\,m\)
2 \(17\,m\)
3 \(21\,m\)
4 \(36\,m\)
Explanation:
Diagonal of the hall \( = \sqrt {{l^2} + {b^2} + {h^2}} \) \( = \sqrt {{{10}^2} + {{12}^2} + {{14}^2}} \) \( = \sqrt {440} = 20.9 \approx 21m.\)
PHXI04:MOTION IN A PLANE
361781
If \({|\vec{a}|=3 \sqrt{2}}\) and \({|\vec{b}|=6 \sqrt{2}}\) for the following figure, then \({x}\) component of \({(\vec{a}+\vec{b})}\).
1 3
2 \({3 \sqrt{2}}\)
3 9
4 \({9 \sqrt{2}}\)
Explanation:
\({\because x}\) component of \({\vec{b}}\) is zero. \({\therefore x}\) component of \({(\vec{a}+\vec{b})}\) is \(\vec{a} \cos 45^{\circ}=3 \sqrt{2} \times \dfrac{1}{\sqrt{2}}=3\)
PHXI04:MOTION IN A PLANE
361782
A force of 5\(N\) acts on a particle along a direction making an angle of \({\rm{60}}^\circ \) with vertical. Its vertical component will be
1 \(3\,N\)
2 \(10\,N\)
3 \(2.5\,N\)
4 \(4\,N\)
Explanation:
The component of force in vertical direction \( = F\cos \theta = F\cos 60^\circ = 5 \times \frac{1}{2} = 2.5N\)
PHXI04:MOTION IN A PLANE
361783
The angle made by the vector \(\overrightarrow {\rm{A}} = \hat i + \hat j\) with \(x\)- axis is
361780
A hall has the dimensions \(10m \times 12m \times 14m.\) A fly starting at one corner ends up at a diagonally opposite corner. What is the magnitude of its displacement (nearly)
1 \(26\,m\)
2 \(17\,m\)
3 \(21\,m\)
4 \(36\,m\)
Explanation:
Diagonal of the hall \( = \sqrt {{l^2} + {b^2} + {h^2}} \) \( = \sqrt {{{10}^2} + {{12}^2} + {{14}^2}} \) \( = \sqrt {440} = 20.9 \approx 21m.\)
PHXI04:MOTION IN A PLANE
361781
If \({|\vec{a}|=3 \sqrt{2}}\) and \({|\vec{b}|=6 \sqrt{2}}\) for the following figure, then \({x}\) component of \({(\vec{a}+\vec{b})}\).
1 3
2 \({3 \sqrt{2}}\)
3 9
4 \({9 \sqrt{2}}\)
Explanation:
\({\because x}\) component of \({\vec{b}}\) is zero. \({\therefore x}\) component of \({(\vec{a}+\vec{b})}\) is \(\vec{a} \cos 45^{\circ}=3 \sqrt{2} \times \dfrac{1}{\sqrt{2}}=3\)
PHXI04:MOTION IN A PLANE
361782
A force of 5\(N\) acts on a particle along a direction making an angle of \({\rm{60}}^\circ \) with vertical. Its vertical component will be
1 \(3\,N\)
2 \(10\,N\)
3 \(2.5\,N\)
4 \(4\,N\)
Explanation:
The component of force in vertical direction \( = F\cos \theta = F\cos 60^\circ = 5 \times \frac{1}{2} = 2.5N\)
PHXI04:MOTION IN A PLANE
361783
The angle made by the vector \(\overrightarrow {\rm{A}} = \hat i + \hat j\) with \(x\)- axis is
361780
A hall has the dimensions \(10m \times 12m \times 14m.\) A fly starting at one corner ends up at a diagonally opposite corner. What is the magnitude of its displacement (nearly)
1 \(26\,m\)
2 \(17\,m\)
3 \(21\,m\)
4 \(36\,m\)
Explanation:
Diagonal of the hall \( = \sqrt {{l^2} + {b^2} + {h^2}} \) \( = \sqrt {{{10}^2} + {{12}^2} + {{14}^2}} \) \( = \sqrt {440} = 20.9 \approx 21m.\)
PHXI04:MOTION IN A PLANE
361781
If \({|\vec{a}|=3 \sqrt{2}}\) and \({|\vec{b}|=6 \sqrt{2}}\) for the following figure, then \({x}\) component of \({(\vec{a}+\vec{b})}\).
1 3
2 \({3 \sqrt{2}}\)
3 9
4 \({9 \sqrt{2}}\)
Explanation:
\({\because x}\) component of \({\vec{b}}\) is zero. \({\therefore x}\) component of \({(\vec{a}+\vec{b})}\) is \(\vec{a} \cos 45^{\circ}=3 \sqrt{2} \times \dfrac{1}{\sqrt{2}}=3\)
PHXI04:MOTION IN A PLANE
361782
A force of 5\(N\) acts on a particle along a direction making an angle of \({\rm{60}}^\circ \) with vertical. Its vertical component will be
1 \(3\,N\)
2 \(10\,N\)
3 \(2.5\,N\)
4 \(4\,N\)
Explanation:
The component of force in vertical direction \( = F\cos \theta = F\cos 60^\circ = 5 \times \frac{1}{2} = 2.5N\)
PHXI04:MOTION IN A PLANE
361783
The angle made by the vector \(\overrightarrow {\rm{A}} = \hat i + \hat j\) with \(x\)- axis is
361780
A hall has the dimensions \(10m \times 12m \times 14m.\) A fly starting at one corner ends up at a diagonally opposite corner. What is the magnitude of its displacement (nearly)
1 \(26\,m\)
2 \(17\,m\)
3 \(21\,m\)
4 \(36\,m\)
Explanation:
Diagonal of the hall \( = \sqrt {{l^2} + {b^2} + {h^2}} \) \( = \sqrt {{{10}^2} + {{12}^2} + {{14}^2}} \) \( = \sqrt {440} = 20.9 \approx 21m.\)
PHXI04:MOTION IN A PLANE
361781
If \({|\vec{a}|=3 \sqrt{2}}\) and \({|\vec{b}|=6 \sqrt{2}}\) for the following figure, then \({x}\) component of \({(\vec{a}+\vec{b})}\).
1 3
2 \({3 \sqrt{2}}\)
3 9
4 \({9 \sqrt{2}}\)
Explanation:
\({\because x}\) component of \({\vec{b}}\) is zero. \({\therefore x}\) component of \({(\vec{a}+\vec{b})}\) is \(\vec{a} \cos 45^{\circ}=3 \sqrt{2} \times \dfrac{1}{\sqrt{2}}=3\)
PHXI04:MOTION IN A PLANE
361782
A force of 5\(N\) acts on a particle along a direction making an angle of \({\rm{60}}^\circ \) with vertical. Its vertical component will be
1 \(3\,N\)
2 \(10\,N\)
3 \(2.5\,N\)
4 \(4\,N\)
Explanation:
The component of force in vertical direction \( = F\cos \theta = F\cos 60^\circ = 5 \times \frac{1}{2} = 2.5N\)
PHXI04:MOTION IN A PLANE
361783
The angle made by the vector \(\overrightarrow {\rm{A}} = \hat i + \hat j\) with \(x\)- axis is