MCQ
The unit vector along $\hat i + \hat j$ is
- A$\hat k$
- B$\hat i + \hat j$
- ✓$\frac{{\hat i + \hat j}}{{\sqrt 2 }}$
- D$\frac{{\hat i + \hat j}}{2}$
✓
Answer
Correct option: C.
$\frac{{\hat i + \hat j}}{{\sqrt 2 }}$
c
(c)$\hat R$$ = \frac{{\vec R}}{{|R|}} = \frac{{\hat i + \hat j}}{{\sqrt {{1^2} + {1^2}} }} = \frac{1}{{\sqrt 2 }}\hat i + \frac{1}{{\sqrt 2 }}\hat j$
(c)$\hat R$$ = \frac{{\vec R}}{{|R|}} = \frac{{\hat i + \hat j}}{{\sqrt {{1^2} + {1^2}} }} = \frac{1}{{\sqrt 2 }}\hat i + \frac{1}{{\sqrt 2 }}\hat j$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Two condensers ${C_1}$and ${C_2}$ in a circuit are joined as shown in figure. The potential of point $A$ is ${V_1}$ and that of $B$ is ${V_2}$. The potential of point $D$ will be
→A coil of self inductance $L$ is connected at one end of two rails as shown in figure. A connector of length $l,$ mass $m$ can slide freely over the two parallel rails . The entire set up is placed in a magnetic field of induction $B$ going into the page. At an instant $t= 0$ an initial velocity $v_0$ is imparted to it and as a result of that it starts moving along $x-$ axis. The displacement of the connector is represented by the figure
→A $10\,pF$ capacitor is connected to a $50 \,V$ battery. How much electrostatic energy is stored in the capacitor
→Antiparticle of electron is
A body is moving on a circle of radius $80 \,m$ with a speed $20 \,m / s$ which is decreasing at the rate $5 \,m / s ^2$ at an instant. The angle made by its acceleration with its velocity is ..........
→An electric dipole in a uniform electric field experiences (When it is placed at an angle $\theta $ with the field)
→The current in a coil changes from $4$ $ampere$ to zero in $0.1$ $s$. If the average $e.m.f. $induced is $100 \,volt$, what is the self inductance of the coil.....$H$
→If you are provided a set of resistances $2\, \Omega, 4\, \Omega$ $6\, \Omega$ and $8\, \Omega$. Connect these resistances so as to obtain an equivalent resistance of $\frac{46}{3}\, \Omega$.
→A wire is bent in the form of an equilateral triangle of side $100 \,cm$ and carries a current of $2 \,A$. It is placed in a magnetic field of induction $2.0 \,T$ directed perpendicular into the plane of paper. The direction and magnitude of magnetic force acting on each side of the triangle will be
→At a certain location in Africa, a compass points $12^o$ West of the geographic North. The North tip of the magnetic needle of a dip circle placed in the plane of magnetic meridian points $60^o$ above the horizontal. The horizontal component of the earth's field is measured to be $0.16\, G$. The magnitude of the earth's field at the location will be
→