1
MHT CET 2025 23rd April Evening Shift
MCQ (Single Correct Answer)
+1
-0

What is the linear velocity if angular velocity $\vec{\omega}=3 \hat{i}-4 \hat{j}+\hat{k}$ and radius $\vec{r}=(5 \hat{i}-6 \hat{j}+6 \hat{k})$ ?

A
$(-30 \hat{\mathrm{i}}-13 \hat{\mathrm{j}}-38 \hat{\mathrm{k}})$
B
$(8 \hat{\mathrm{i}}-10 \hat{\mathrm{j}}+7 \hat{\mathrm{k}})$
C
$\quad(-18 \hat{\mathrm{i}}-13 \hat{\mathrm{j}}+2 \hat{\mathrm{k}})$
D
$(-2 \hat{\mathrm{i}}-2 \hat{\mathrm{j}}-5 \hat{\mathrm{k}})$
2
MHT CET 2025 23rd April Evening Shift
MCQ (Single Correct Answer)
+1
-0

Select the correct statement.

A

If the Brewster's angle for the light propagation from air to glass is ' $\theta$ ', then Brewster's angle for the light propagating from glass to air is $\left(\frac{\pi}{2}-\theta\right)$.

B

The Brewster's angle for the light propagating from the glass to air is $\tan ^{-1}(\mu)$ where $\mu$ is the refractive index of glass.

C

The Brewster's angle for light propagating from air to glass is ' $\theta$ ' then Brewster's angle for the light propagating from glass to air is $(\pi+\theta)$.

D

The Brewster's angle for light propagating from glass to air is $\tan (\mu)$ where is $\mu$ the refractive index of glass.

3
MHT CET 2025 23rd April Evening Shift
MCQ (Single Correct Answer)
+1
-0

By increasing the temperature, the specific resistance of a conductor and a semiconductor respectively

A
increases, increases.
B
decreases, decreases.
C
increases, decreases.
D
decreases, increases.
4
MHT CET 2025 23rd April Evening Shift
MCQ (Single Correct Answer)
+1
-0

A polyatomic gas at pressure P , having volume ' $V$ ' expands isothermally to a volume ' 3 V ' and then adiabatically to a volume ' 24 V '. The final pressure of gas is (for moderate temperature changes)

A
16 P
B
24 P
C
P / 36
D
P / 48
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