1
MHT CET 2024 3rd May Evening Shift
MCQ (Single Correct Answer)
+1
-0

Two rods, one of copper ( Cu$)$ and the other of iron ( Fe ) having initial lengths $\mathrm{L}_1$ and $\mathrm{L}_2$ respectively are connected together to form a single rod of length $L_1+L_2$. The coefficient of linear expansion of Cu and Fe are $\alpha_c$ and $\alpha_i$ respectively. If the length of each rod increases by the same amount when their temperatures are raised by $t^{\circ} \mathrm{C}$, then ratio of $\frac{L_1-L_2}{L_1+L_2}$ will be

A
$\frac{\alpha_i}{\alpha_c+\alpha_i}$
B
$\frac{\alpha_c}{\alpha_c+\alpha_i}$
C
$\frac{\alpha_i-\alpha_c}{\alpha_c+\alpha_i}$
D
$\frac{\alpha_c-\alpha_i}{\alpha_c+\alpha_i}$
2
MHT CET 2024 3rd May Evening Shift
MCQ (Single Correct Answer)
+1
-0

Frequency of a particle performing S.H.M. is 10 Hz . The particle is suspended from a vertical spring. At the highest point of its oscillation the spring is unstretched. Maximum speed of the particle is $\left(\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^2\right)$

A
$\frac{1}{\pi} \mathrm{~m} / \mathrm{s}$
B
$\frac{1}{2 \pi} \mathrm{~m} / \mathrm{s}$
C
  $\frac{1}{4 \pi} \mathrm{~m} / \mathrm{s}$
D
$2 \pi \mathrm{~m} / \mathrm{s}$
3
MHT CET 2024 3rd May Evening Shift
MCQ (Single Correct Answer)
+1
-0

Two charged particles each having charge ' $q$ ' and mass ' $m$ ' are held at rest while their separation is ' $r$ '. The speed of the particles when their separation is ' $\frac{\mathrm{r}}{2}$ ' will be ( $\varepsilon_0=$ permittivity of the medium)

A
$\frac{q}{4 \pi \varepsilon_0 \mathrm{mr}}$
B
$\frac{\mathrm{q}}{2 \pi \varepsilon_0 \mathrm{mr}}$
C
$\frac{\mathrm{q}}{\sqrt{4 \pi \varepsilon_0 \mathrm{mr}}}$
D
$\frac{\mathrm{q}^2}{4 \pi \varepsilon_0 \mathrm{mr}}$
4
MHT CET 2024 3rd May Evening Shift
MCQ (Single Correct Answer)
+1
-0

The pressure inside a soap bubble $A$ is 1.01 atmosphere and that in a soap bubble B is 1.02 atmosphere. The ratio of volume of bubble A to that of B is [Surrounding pressure $=1$ atmosphere]

A
$101:102$
B
$102: 101$
C
$8: 1$
D
$2: 1$
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