1
MHT CET 2023 9th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

Two S.H.Ms. are represented by equations $$\mathrm{y}_1=0.1 \sin \left(100 \pi \mathrm{t}+\frac{\pi}{3}\right)$$ and $$\mathrm{y}_2=0.1 \cos (100 \pi \mathrm{t})$$ The phase difference between the speeds of the two particles is

A
$$\frac{\pi}{3}$$
B
$$-\frac{\pi}{6}$$
C
$$+\frac{\pi}{6}$$
D
$$-\frac{\pi}{3}$$
2
MHT CET 2023 9th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

A film of soap solution is formed between two straight parallel wires of length $$10 \mathrm{~cm}$$ each separated by $$0.5 \mathrm{~cm}$$. If their separation is increased by $$1 \mathrm{~mm}$$ while still maintaining their parallelism. How much work will have to be done?

(surface tension of solution $$=65 \times 10^{-2} \mathrm{~N} / \mathrm{m}$$ )

A
$$7.22 \times 10^{-6} \mathrm{~J}$$
B
$$13.0 \times 10^{-5} \mathrm{~J}$$
C
$$2.88 \times 10^{-5} \mathrm{~J}$$
D
$$5.76 \times 10^{-5} \mathrm{~J}$$
3
MHT CET 2023 9th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

An ideal gas in a container of volume 500 c.c. is at a pressure of $$2 \times 10^{+5} \mathrm{~N} / \mathrm{m}^2$$. The average kinetic energy of each molecule is $$6 \times 10^{-21} \mathrm{~J}$$. The number of gas molecules in the container is

A
$$5 \times 10^{25}$$
B
$$5 \times 10^{23}$$
C
$$25 \times 10^{23}$$
D
$$2.5 \times 10^{22}$$
4
MHT CET 2023 9th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

A gas at N.T.P. is suddenly compressed to onefourth of its original volume. If $$\gamma=1.5$$, then the final pressure is

A
4 times
B
1.5 times
C
8 times
D
$$\frac{1}{4}$$ times
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