1
NEET 2021
MCQ (Single Correct Answer)
+4
-1
A particle of mass 'm' is projected with a velocity $$\upsilon $$ = kVe = (k < 1) from the surface of the earth. (Ve = escape velocity)

The maximum height above the surface reached by the particle is :
A
$${{R{k^2}} \over {1 - {k^2}}}$$
B
$$R{\left( {{k \over {1 - {k^2}}}} \right)^2}$$
C
$$R{\left( {{k \over {1 + {k^2}}}} \right)^2}$$
D
$${{{R^2}k} \over {1 + k}}$$
2
NEET 2021
MCQ (Single Correct Answer)
+4
-1
A series LCR circuit containing 5.0 H inductor, 80$$\mu$$F capacitor and 40$$\Omega$$ resistor is connected to 230V variable frequency ac source. The angular frequencies of the source at which power transferred to the circuit is half the power at the resonant angular frequency are likely to be :
A
42 rad/s and 58 rad/s
B
25 rad/s and 75 rad/s
C
50 rad/s and 25 rad/s
D
46 rad/s and 54 rad/s
3
NEET 2021
MCQ (Single Correct Answer)
+4
-1
A particle moving in a circle of radius R with a uniform speed takes a time T to complete one revolution.

If this particle were projected with the same speed at an angle '$$\theta$$' to the horizontal, the maximum height attained by it equals 4R. The angle of projection, $$\theta$$, is then given by :
A
$$\theta = {\sin ^{ - 1}}{\left( {{{2g{T^2}} \over {{\pi ^2}R}}} \right)^{1/2}}$$
B
$$\theta = {\cos ^{ - 1}}{\left( {{{g{T^2}} \over {{\pi ^2}R}}} \right)^{1/2}}$$
C
$$\theta = {\cos ^{ - 1}}{\left( {{{{\pi ^2}R} \over {g{T^2}}}} \right)^{1/2}}$$
D
$$\theta = {\sin ^{ - 1}}{\left( {{{{\pi ^2}R} \over {g{T^2}}}} \right)^{1/2}}$$
4
NEET 2021
MCQ (Single Correct Answer)
+4
-1
Two conducting circular loops of radii R1 and R2 are placed in the same plane with their centres coinciding. If R1 >> R2, the mutual inductance M between them will be directly proportional to :
A
$${{R_2^2} \over {{R_1}}}$$
B
$${{{R_1}} \over {{R_2}}}$$
C
$${{{R_2}} \over {{R_1}}}$$
D
$${{R_1^2} \over {{R_2}}}$$
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