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NEET Physics Solved Question Paper 2016

Multiple Choice Questions

41.
In a uniform magnetic field, an $π$ -shaped metal frame is located perpendicular to the plane of the conductor and varying with time at the rate (dB /dt)=0.20 T/s. A conducting connector starts moving with an acceleration a = 30 cm/s along the parallel bars of the frame. The length, l of the conductor is equal to 44 cm. If at the moment t = 0, the loop area and magnetic induction are equal to zero, then the emf induced in the loop t = 1s after the beginning of motion is

6 × 10^-4V

8 × 10^-2 V

6 × 10^-2 V

12 × 10^-3 V

6 × 10^-2 V

According to kinematics equation, distance travelled is x = ut + $\frac{1}{2} {at}^{2}$

Here, initial velocity, u = O

acceleration a = b =30cm / s²

So, in time t, distance travelled by conductor x = $\frac{1}{2} {bt}^{2}$

∴ Flux passing through loop, $ϕ$ = Bs = Blx

= $\frac{Bl {bt}^{2}}{2}$

Here, B and t both are available.

So, induced emf,

$e = |\frac{dϕ}{dt}| = \frac{lb}{2} [\frac{dB}{dt} t^{2} + B 2 t] = \frac{0.4 \times 0.3}{2} (0.2 \times 2^{2} + 2 B) = 0.06 (0.8 + 2 B) Given, \frac{dB}{dt} = 0.2 T / s \Rightarrow dB = 0.2 dt On integrating both sides, we get \int_{0}^{B} dB = 0.2 \int_{0}^{t} dt \Rightarrow B = 0.2 t = 0.2 \times 1 = 0.2 So, induced emf, e = 0.06 (0.8 + 0.2) = 0.06 V = 6 \times 10^{- 2} V$

42.

Two charges q and -3q are placed fixed on X-axis separated by distance d. Where should a third charge 2q be placed such that it will not experience any force?

$\frac{\sqrt{3} + 2 d}{2}$
$\frac{\sqrt{3} + 2 d}{3}$
$\frac{d + \sqrt{3} d}{2}$
$\frac{\sqrt{3} d}{2}$

43.

A current I= 5.0 A flows along a thin wire shaped as shown in given figure. The radius of the curved part of the wire is equal to R = 120 mm and the angle 2 $ϕ$ = 90°. Find the magnetic induction of the field at point O.

4.2 × 10^-4 T
8.8 × 10^-5 T
2.8 × 10^-4 T
4.2 × 10^-3 T

44.

The activity of a radioactive element decreases to one third of the original activity I₀ , in a period of 9 years. After a further lapse of 9 years, its activity will be

I₀
(2/3) I₀
I₀ / 9
I₀/ 6

45.

A symmetric double convex lens is cut in two equal parts by a plane perpendicular to the principle axis. If the power of original lens is 4D, then the power of a cut lens will be

46.

The maximum number of possible interference maxima for slit separation equal to twice the wavelength in Young's double-slit experiment, is

infinite
five
three
zero

47.

If M_o is the mass of an oxygen isotope ${}_{8}O_{17}$ , M_p and M_n are the masses of a proton and a neutron, respectively, the nuclear binding energy of the isotope is

(M_o − 8M_p) c²
(M_o − 8M_p − 9M_n) c²
M_oc²
(M_o − 17M_n) c²

48.

A fish, looking up through the water sees the outside world contained in a circular horizon. If the refractive index of water is 4/3 and the fish is 12cm below the surface of water, the radius of the circle in centimeter is

$\frac{12 \times 3}{\sqrt{5}}$
12 × 3 × $\sqrt{5}$
$\frac{12 \times 3}{\sqrt{7}}$
12 × 3 × $\sqrt{7}$

49.

To get an output y = 1 from the circuit shown the inputs A, B and C must be respectively.

0, 1, 0
1, 0, 0
1, 0, 1
1, 1, 0

50.

If the bindings energy of the electron in a hydrogen atom is 13.6 eV, the energy required to remove the electron from the first excited state of Li⁺⁺ is