class 12

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A rectangular loop of sides 10 cm and 5 cm carrying a current 1 of 12 A is placed in different orientations as shown in the figures below : ltBrgt If there is a uniform magnetic field of 0.3 T in the positive z direction, in which orientations the loop would be in (i) stable equilibrium ?

A diode detector is used to detect an amplitude modulated wave of 60% modulation by using a condenser of capacity 250 pico farad in parallel with a load resistance 100 kilo ohm. Find the maximum modulated frequency which could be detected by it.

The integral $∫_{2}gx_{2}+g(36−12x+x_{2})dxgx_{2} $ is equal to:

Let a and b be the roots of equation $px_{2}+qx+r=0,p=0.$. If p, q, r are in A.P. and $α1 +β1 =4$, then the value of $∣α−β∣$ is

Let $T_{n}$be the number of all possible triangles formed by joining vertices of an n-sided regular polygon. If $T_{n+1}−T_{n}=10$, then the value of n is

Arrange the following compounds in order of decreasing acidity:

If $(10)_{9}+2(11)_{1}(10)_{8}+3(11)_{2}(10)_{7}+¨+10(11)_{9}=k(10)_{9}$, then k is equal to

Two charges, each equal to q, are kept at x = ?a and x = a on the x-axis. A particle of mass m and charge $q_{0}=2q $ is placed at the origin. If charge q0 is given a small displacement (y a) along the y-axis, the net force acting on the particle is proportional to: