NTA JEE Main 29th January 2023 Shift 1
For the following questions answer them individually
NTA JEE Main 29th January 2023 Shift 1 - Question 1
Match List I with List II:
| List-I (Physical Quantity) | List-II (Dimensional Formula) |
|---|---|
| A. Pressure gradient | I. $$[M^0L^2T^{-2}]$$ |
| B. Energy density | II. $$[M^1L^{-1}T^{-2}]$$ |
| C. Electric Field | III. $$[M^1L^{-2}T^{-2}]$$ |
| D. Latent heat | IV. $$[M^1L^1T^{-3}A^{-1}]$$ |
Choose the correct answer from the options given below:
NTA JEE Main 29th January 2023 Shift 1 - Question 2
A stone is projected at angle $$30°$$ to the horizontal. The ratio of kinetic energy of the stone at point of projection to its kinetic energy at the highest point of flight will be:
NTA JEE Main 29th January 2023 Shift 1 - Question 3
A car is moving on a horizontal curved road with radius $$50$$ m. The approximate maximum speed of car will be, if friction between tyres and road is $$0.34$$. [Take $$g = 10$$ m s$$^{-2}$$]
NTA JEE Main 29th January 2023 Shift 1 - Question 4
A block of mass $$m$$ slides down the plane inclined at angle $$30°$$ with an acceleration $$\frac{g}{4}$$. The value of coefficient of kinetic friction will be:
NTA JEE Main 29th January 2023 Shift 1 - Question 5
Two particles of equal mass $$m$$ move in a circle of radius $$r$$ under the action of their mutual gravitational attraction. The speed of each particle will be:
NTA JEE Main 29th January 2023 Shift 1 - Question 6
Surface tension of a soap bubble is $$2.0 \times 10^{-2}$$ N m$$^{-1}$$. Work done to increase the radius of soap bubble from $$3.5$$ cm to $$7$$ cm will be: [Take $$\pi = \frac{22}{7}$$]
NTA JEE Main 29th January 2023 Shift 1 - Question 7
Given below are two statements. One is labelled as Assertion A and the other is labelled as Reason R.
Assertion A: If $$dQ$$ and $$dW$$ represent the heat supplied to the system and the work done on the system respectively. Then according to the first law of thermodynamics $$dQ = dU - dW$$.
Reason R: First law of thermodynamics is based on law of conservation of energy.
In the light of the above statements, choose the correct answer from the option given below:
NTA JEE Main 29th January 2023 Shift 1 - Question 8
A bicycle tyre is filled with air having pressure of $$270$$ kPa at $$27°$$C. The approximate pressure of the air in the tyre when the temperature increases to $$36°$$C is
NTA JEE Main 29th January 2023 Shift 1 - Question 9
A person observes two moving trains, $$A$$ reaching the station and $$B$$ leaving the station with equal speed of $$30$$ m s$$^{-1}$$. If both trains emit sounds with frequency $$300$$ Hz, (Speed of sound: $$330$$ m s$$^{-1}$$) approximate difference of frequencies heard by the person will be:
NTA JEE Main 29th January 2023 Shift 1 - Question 10
In a cuboid of dimension $$2L \times 2L \times L$$, a charge $$q$$ is placed at the centre of the surface $$S$$ having area of $$4L^2$$. The flux through the opposite surface to $$S$$ is given by
