1
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

A particle executes S.H.M. of period $$\frac{2 \pi}{\sqrt{3}}$$ second along a straight line $$4 \mathrm{~cm}$$ long. The displacement of the particle at which the velocity is numerically equal to the acceleration is

A
$$2 \mathrm{~cm}$$
B
$$1 \mathrm{~cm}$$
C
$$4 \mathrm{~cm}$$
D
$$3 \mathrm{~cm}$$
2
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

Two consecutive harmonics of an air column in a pipe closed at one end are of frequencies 150 Hz and 250 Hz. The fundamental frequency of an air column is

A
25 Hz
B
75 Hz
C
100 Hz
D
50 Hz
3
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

Two masses '$$m_{\mathrm{a}}$$' and '$$\mathrm{m}_{\mathrm{b}}$$' moving with velocities '$$v_{\mathrm{a}}$$' and '$$v_{\mathrm{b}}$$' opposite directions collide elastically. Alter the collision '$$m_a$$' and '$$m_b$$' move with velocities and '$$v_{\mathrm{b}}$$' and '$$v_a$$' respectively, then the ratio $$\mathrm{m_a:m_b}$$ is

A
$$\frac{v_a+v_b}{v_a-v_b}$$
B
$$\frac{1}{2}$$
C
1
D
$$\frac{v_a-v_b}{v_a+v_b}$$
4
MHT CET 2021 20th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

A sample of radioactive element contains $$8 \times 10^{16}$$ active nuclei. The halt-life of the element is 15 days. The number of nuclei decayed after 60 days is

A
$$7.5 \times 10^{16}$$
B
$$2.0 \times 10^{16}$$
C
$$0.5 \times 10^{16}$$
D
$$4.0 \times 10^{16}$$
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