1
JEE Main 2023 (Online) 29th January Morning Shift
+4
-1

A bicycle tyre is filled with air having pressure of $$270 ~\mathrm{kPa}$$ at $$27^{\circ} \mathrm{C}$$. The approximate pressure of the air in the tyre when the temperature increases to $$36^{\circ} \mathrm{C}$$ is

A
262 kPa
B
360 kPa
C
270 kPa
D
278 kPa
2
JEE Main 2023 (Online) 25th January Morning Shift
+4
-1 Match List I with List II

List I List II
A. Surface tension I. $$\mathrm{kg~m^{-1}~s^{-1}}$$
B. Pressure II. $$\mathrm{kg~ms^{-1}}$$
C. Viscosity III. $$\mathrm{kg~m^{-1}~s^{-2}}$$
D. Impulse IV. $$\mathrm{kg~s^{-2}}$$

Choose the correct answer from the options given below :

A
A-IV, B-III, C-I, D-II
B
A-IV, B-III, C-II, D-I
C
A-I, B-I, C-III, D-IV
D
A-III, B-IV, C-I, D-II
3
JEE Main 2023 (Online) 24th January Evening Shift
+4
-1 Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R

Assertion A : Steel is used in the construction of buildings and bridges.

Reason R : Steel is more elastic and its elastic limit is high.

In the light of above statements, choose the most appropriate answer from the options given below

A
Both A and R are correct and R is the correct explanation of A
B
A is correct but R is not correct
C
Both A and R are correct but R is NOT the correct explanation of A
D
A is not correct but R is correct
4
JEE Main 2023 (Online) 24th January Evening Shift
+4
-1 The frequency ($$\nu$$) of an oscillating liquid drop may depend upon radius ($$r$$) of the drop, density ($$\rho$$) of liquid and the surface tension (s) of the liquid as $$\nu=r^a\rho^b s^c$$. The values of a, b and c respectively are

A
$$\left( {{3 \over 2},{1 \over 2}, - {1 \over 2}} \right)$$
B
$$\left( { - {3 \over 2}, - {1 \over 2},{1 \over 2}} \right)$$
C
$$\left( {{3 \over 2}, - {1 \over 2},{1 \over 2}} \right)$$
D
$$\left( { - {3 \over 2},{1 \over 2},{1 \over 2}} \right)$$
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