1
COMEDK 2025 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0
Two spherical planets P and Q have the same uniform density $\rho$, and masses Mp and $\mathrm{MQ}_{\mathrm{Q}}$ and surface areas A and 4 A respectively. Another spherical planet $R$ also has the same uniform density $\rho$, and its mass is $\mathrm{Mp}+\mathrm{MQ}$. The escape velocities from these planets is
A
$V_R>V_Q>V_P$
B
$\mathrm{V}_{\mathrm{R}}<\mathrm{V}_{\mathrm{Q}}<\mathrm{V}_{\mathrm{P}}$
C
$V_R=V_Q>V_P$
D
$V_R>V_Q=V_P$
2
COMEDK 2025 Afternoon Shift
MCQ (Single Correct Answer)
+1
-0
If the radius of earth were to shrink by two percent, its mass remaining the same, the acceleration due to gravity on the earth's surface would
A
Decrease by $4 \%$
B
Increase by $1 \%$
C
Increase by $4 \%$
D
Increase by $2 \%$
3
COMEDK 2025 Morning Shift
MCQ (Single Correct Answer)
+1
-0
The radius of earth is $R$ and acceleration due to gravity on its surface is $g$. The height at which the acceleration due to gravity becomes $\frac{g}{8}$ is:
A
$2 R$
B
$(2 \sqrt{2}-1) R$
C
$\sqrt{2} R$
D
$2 \sqrt{2} R$
4
COMEDK 2025 Morning Shift
MCQ (Single Correct Answer)
+1
-0
A planet is 121 times heavier than moon and has a diameter 9 times that of moon. If the escape velocity on the planet is $v$, then the escape velocity on the moon will be:
A
$\frac{11 v}{3}$
B
$\frac{33 v}{8}$
C
$\frac{8 v}{33}$
D
$\frac{3 v}{11}$
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