A uniform magnetic field existsin region given by `vec(B) = 3 hat(i) + 4 hat(j)+5hat(k)`. A rod of length `5 m` is placed along `y`-axis is moved along `x`- axis with constant speed `1 m//sec`. Then the magnitude of induced `e.m.f` in the rod is :

The magnetic field in a region is given by vec(B)=B_(0)(1+(x)/(a))hat(k) . A square loop of edge length 'd' is placed with its edge along X-axis and Y-axis. The loop is moved with a constant velocity vec(V)=V_(0)hat(i) . The emf induced in the loop is

The magnetic field in a region is given by vec(B)=B_(0)(1+(x)/(a))hat(k) . A square loop of edge length 'd' is placed with its edge along X-axis and Y-axis. The loop is moved with a constant velocity vec(V)=V_(0)hat(i) . The emf induced in the loop is

The magnetic field in a region is given by vec(B)=B_(0)(1+(x)/(a))hat(k) . A square loop of edge length 'd' is placed with its edge along X-axis and Y-axis. The loop is moved with a constant velocity vec(V)=V_(0)hat(i) . The emf induced in the loop is

The magnetic field in a region is given by B=B_0(1+x/a)hat k .A square loop of edge-length d is placed with its edges along the x and y-axes. The loop is moved with a constant velocity v=v_0hat i .The emf induced in the loop is:

A vector is given by vec (A) = 3 hat(i) + 4 hat(j) + 5 hat(k) . Find the magnitude of vec(A) , unit vector along vec(A) and angles made by vec(A) with coordinate axes.

A vector is given by vec (A) = 3 hat(i) + 4 hat(j) + 5 hat(k) . Find the magnitude of vec(A) , unit vector along vec(A) and angles made by vec(A) with coordinate axes.

The vector component of vector vec(A) = 3 hat(i) + 4 hat(j) + 5 hat(k) along vector vec(B) = hat(i) + hat(j) + hat(k) is

vec(A) and vec(B) are two vectors given by vec(A) = 2hat(i) + 3hat(j) and vec(B)= hat(i) + hat(j) . The magnitude of the component of vec(A) along vec(B) is