1
NEET 2017
MCQ (Single Correct Answer)
+4
-1
A particle executes linear simple harmonic motion with an amplitude of 3 cm. When the particle is at 2 cm from the mean position, the magnitude of its velocity is equal to that of its acceleration. Then its time period in second is
A
$${{\sqrt 5 } \over {2\pi }}$$
B
$${{4\pi } \over {\sqrt 5 }}$$
C
$${{2\pi } \over {\sqrt 3 }}$$
D
$${{\sqrt 5 } \over \pi }$$
2
NEET 2016 Phase 2
MCQ (Single Correct Answer)
+4
-1
A body of mass m is attached to the lower end of a spring whose upper end is fixed. The spring has negligible mass. When the mass m is slightly pulled down and released, it oscillates with a time period of 3s. When the mass m is increased by 1 kg, the time period of oscillations becomes 5 s. The value of m in kg is
A
$${3 \over 4}$$
B
$${4 \over 3}$$
C
$${{16} \over 9}$$
D
$${9 \over {16}}$$
3
AIPMT 2015
MCQ (Single Correct Answer)
+4
-1
A particle is executing a simple harmonic motion. Its maximum acceleration is $$\alpha $$ and maximum velocity is $$\beta $$. Them, its time period of vibration will be
A
$${{{\beta ^2}} \over \alpha }$$
B
$${{2\pi \beta } \over \alpha }$$
C
$${{{\beta ^2}} \over {{\alpha ^2}}}$$
D
$${\alpha \over \beta }$$
4
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
$$2\pi \sqrt {{{x_2^2 - x_1^2} \over {V_1^2 - V_2^2}}} $$
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