1
AIPMT 2015 Cancelled Paper
MCQ (Single Correct Answer)
+4
-1
A particle is executing SHM along a straight line. Its velocities at distances x1 and x2 from the mean position are V1 and V2 respectively. Its time period is
A
$$2\pi \sqrt {{{V_1^2 + V_2^2} \over {x_1^2 + x_2^2}}} $$
B
$$2\pi \sqrt {{{V_1^2 - V_2^2} \over {x_1^2 - x_2^2}}} $$
C
$$2\pi \sqrt {{{x_1^2 + x_2^2} \over {V_1^2 + V_2^2}}} $$
D
$$2\pi \sqrt {{{x_2^2 - x_1^2} \over {V_1^2 - V_2^2}}} $$
2
AIPMT 2015 Cancelled Paper
MCQ (Single Correct Answer)
+4
-1
When two displacements represented by y1 = a sin$${\left( {\omega t} \right)}$$ and y2 = b cos$${\left( {\omega t} \right)}$$ aresuperimposed the motion is
A
simple harmonic with amplitude $$\sqrt {{a^2} + {b^2}} $$
B
simple harmonic with amplitude $${{\left( {a + b} \right)} \over 2}$$
C
not a simple harmonic
D
simple harmonic with amplitude $${a \over b}$$
3
AIPMT 2015 Cancelled Paper
MCQ (Single Correct Answer)
+4
-1
A parallel plate air capacitor of capacitance C is connected to a cell of emf V and then disconnected from it. A dielectric slab of dieletric constant K, which can just fill the air gap of the capacitor, is now inserted in it . Which of the following is incorrect ?
A
The change in energy stored is $${1 \over 2}C{V^2}\left( {{1 \over K} - 1} \right)$$
B
The charge on the capacitor is not conserved.
C
The potential difference between the plates decreases K times.
D
The energy stored in the capaciotor decreases K times.
4
AIPMT 2015 Cancelled Paper
MCQ (Single Correct Answer)
+4
-1
The electric field in a certain region is acting radially outward and is given by E = Ar. A charge contained in a sphere of radius 'a' centred at the origin of the field, will be given by
A
$$4\pi {\varepsilon _0}A{a^3}$$
B
$${\varepsilon _0}A{a^3}$$
C
$$4\pi {\varepsilon _0}A{a^2}$$
D
$$A{\varepsilon _0}{a^2}$$
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