Given : $( | \overrightarrow a. \overrightarrow b| = | \overrightarrow a x \overrightarrow b |)$$|...

Given : $(x+y)dy + (x-y) dx=0$$ (x + y) dy = -(x - y) dx $$ \frac {dy}{dx} = \frac {-(x - y)}{(x + y...

Let $ \overrightarrow a = 2\hat i + 2\hat j +3\hat k , \overrightarrow b = -\hat i + 2\hat j +\hat...

Ans: (D) IgA

Ans: (C) Tungsten

( a ) 5' UACGUAC 3'

The plane of one base pair stacks over the other in a double helix and hydrogen bonds confer stabili...

Ans: (D) both c and b

Ans: ( B ) pBR322pBR322 is a plasmid and was one of the first widely used E. coli cloning vectors. ...

Ans: (D) all of the above

Ans: (A) Vasectomy In vasectomy small part of the vas deferns is removed or tied up through a small ...

Ans: (D) Both b and c

Ans: (B) incisor-2, canine-1, premolar-2, molar-3; socket of jaw

Ans: ( D ) Jacob and Monod, 1961

Given: $\overrightarrow B = B_0 \; cm (\omega t)\hat {k}$(ie) magnetic field along positive Z axisMa...

In the fig, XY is an infinitely long wire carrying current $ I (t) = \frac {I_0}{1 - \frac{t}{T}}$ f...

Xy is infinitely long wire carrying current I (t) such that $\frac {dI}{dt} = \lambda = constant$At ...

If E is the electric field generated around the charged ring of radius b, then $e = \frac {d\phi}{dt...

When $ t = \frac {\pi}{\omega} = \frac {1}{2} . \frac {2\pi}{\omega} = \frac {1}{2}T$Hence the avera...

Current leads the alternating voltage by $\frac {\pi}{2}$ radian. Hence X is pure capacitance.$X_c =...

$ L_0 = 0.01\; MH = 10^{-5} H$$ L = 10 \; MH = 10^{-2} H$$ \mu r = \frac {L}{L_0} = \frac {10^{-2}}...

True.$ \frac {h}{e} = \frac {Joule - sec}{coulomb} = \frac {Joule}{Ampere} = Magnetic\; flux$

False. Dimension formula for electric flux = $ ML^3 T^{-3} A^{-1}$Dimension formula for magnetic flu...

False. Magnetic flux does not change with time here

$ B = 10T$$ N = 50 \; turns, A = 100 cm^2 = 10^{-2} m^2$$ t = 0.1 sec$$ \theta = 0^\circ$$ \phi = N ...

$ i = \frac {\varepsilon}{R} = \frac {\frac{1}{2} B \omega l^2}{R}$$ = \frac {\frac{1}{2} \times 0.2...

Given: $\omega = 20\pi \;rad/s$$ l= 10 cm = 0.1 m$$ B = 0.2T$$ R = 2 \Omega$$ \varepsilon = \frac {1...

No. of spokes = 50$ l = 0.5 m$$\omega = 12 rad /sec$$ B = 0.5 \times 10^{-4} T$$ \varepsilon = \frac...

Yes. Due to the change in magnetic flux, emf is induced.

No. Since there is no change in magnetic flux, there is no emf induced in the coil.

$ I_0 = \frac {E_0}{R} = \frac {NBA \omega}{R} = \frac {20 \times 3 \times 10^{-2} \times 3.14 \time...

Average value of the emf induced = 0

Given: $ r = 8.0 cm = 8 \times 10^{-2} m$$ A = \pi r^2 = 64 \times 10^{-4} \pi m^2$$ N = 20$$ \omega...

$ M = \frac {\mu_0 N_1 N_2 A}{Al} ; \;\;$ A is the area of cross section of inner solenoid and l is ...

To avoid induction effects, magnetic field due to current in one half of the coil is cancelled by ma...

True.Dimension for induced e.m.f is $ ML^2 T^{-3} A^{-1}$$ e = V = \frac {work}{charge} = \frac {ML^...

Whenever high frequency alternating current is passed through the coil surrounding the metal piece i...

Given: $B_1 = 1.0 wb m^{-2}, N = 80$$ A = 0.01 m^2, B_2 = 0, t = 0.1s$$ e= \frac {-NA (B_2 - B_1)}{t...

$\phi = \pi r^2 B$$ \frac {d\phi}{dt} = 2 \pi r . \frac {db}{dt}$when $ r = 2 \times 10 ^{-2} m \;\;...

Given: $N_2 = 100, N_1 = 1000$$ l = 1m = A = \pi r^2 = \frac {22}{7} \times (2 \times 10^{-2})^2 m^2...

Ans: (b) Weber

$\frac {d\phi}{dt} = 6t - 2$ (t = 1)$6 (1) - 2 = 4$ milli weber$ = 4 \times 10^ {-3} V$

$ E = Bl\upsilon$$ = 5 \times 2 \times 0.1$$ = 1V$

Ans: (b) $ dQ = \frac {d\phi}{R}$

Given: $N_1 = 50$ turns /cm= 5000 l turn in l metre$N_2 = 200$$ A = 4 cm^2 = 4 \times 10^{-4} m^2$$...

Given: M = 1.5 henrydI = 5Adt = 1 millsec = $10^{-3} sec$$ e = M . \frac {dI}{dt}$$ e = 1.5 \times \...

Given $ e = 250 \times 10^{-6} $ VdI = 10 - 6 = 4Adt = 0.45L = $\frac {e}{dI/dt} = \frac {250 \times...

When the current is switched on, induced current flows through the body of the bird. The induced cur...

Given: $\phi = (5t^2 + 10t + 5)$ milliweber$\phi = (5t^2 + 10t + 5) \times 10^{-3}$ wb$e = \frac {d...

Given: l = 2m, r = $\frac {4}{2} = 2cm = 2 \times 10^{-2} m$$N_1 = 2000, N_2 = 1000$$A = \pi r^2 = \...