NTA JEE Main 25th February 2021 Shift 1
For the following questions answer them individually
NTA JEE Main 25th February 2021 Shift 1 - Question 1
In an octagon $$ABCDEFGH$$ of equal side, what is the sum of $$\vec{AB} + \vec{AC} + \vec{AD} + \vec{AE} + \vec{AF} + \vec{AG} + \vec{AH}$$, if, $$\vec{AO} = 2\hat{i} + 3\hat{j} - 4\hat{k}$$
NTA JEE Main 25th February 2021 Shift 1 - Question 2
Match List - I with List - II:
| List - I | List - II |
|---|---|
| (a) $$h$$ (Planck's constant) | (i) $$[MLT^{-1}]$$ |
| (b) $$E$$ (kinetic energy) | (ii) $$[ML^2 T^{-1}]$$ |
| (c) $$V$$ (electric potential) | (iii) $$[ML^2 T^{-2}]$$ |
| (d) $$P$$ (linear momentum) | (iv) $$[ML^2 I^{-1} T^{-3}]$$ |
Choose the correct answer from the options given below:
NTA JEE Main 25th February 2021 Shift 1 - Question 3
An engine of a train, moving with uniform acceleration, passes the signal-post with velocity $$u$$ and the last compartment with velocity $$v$$. The velocity with which middle point of the train passes the signal post is:
NTA JEE Main 25th February 2021 Shift 1 - Question 4
A solid sphere of radius $$R$$ gravitationally attracts a particle placed at $$3R$$ from its centre with a force $$F_1$$. Now a spherical cavity of radius $$\frac{R}{2}$$ is made in the sphere (as shown in figure) and the force becomes $$F_2$$. The value of $$F_1 : F_2$$ is:
NTA JEE Main 25th February 2021 Shift 1 - Question 5
Two satellites $$A$$ and $$B$$ of masses 200 kg and 400 kg are revolving round the earth at height of 600 km and 1600 km respectively. If $$T_A$$ and $$T_B$$ are the time periods of $$A$$ and $$B$$ respectively then the value of $$T_B - T_A$$:
[Given: radius of earth = 6400 km, mass of earth = $$6 \times 10^{24}$$ kg]
NTA JEE Main 25th February 2021 Shift 1 - Question 6
Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A: The escape velocities of planet A and B are same. But A and B are of unequal mass.
Reason R: The product of their mass and radius must be same. $$M_1R_1 = M_2R_2$$
In the light of the above statements, choose the most appropriate answer from the options given below:
NTA JEE Main 25th February 2021 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: When a rod lying freely is heated, no thermal stress is developed in it.
Reason R: On heating, the length of the rod increases.
In the light of the above statements, choose the correct answer from the options given below:
NTA JEE Main 25th February 2021 Shift 1 - Question 8
A diatomic gas, having $$C_P = \frac{7}{2}R$$ and $$C_V = \frac{5}{2}R$$, is heated at constant pressure. The ratio dU : dQ : dW
NTA JEE Main 25th February 2021 Shift 1 - Question 9
If the time period of a two meter long simple pendulum is 2 s, the acceleration due to gravity at the place where pendulum is executing S.H.M. is:
NTA JEE Main 25th February 2021 Shift 1 - Question 10
A student is performing the experiment of the resonance column. The diameter of the column tube is 6 cm. The frequency of the tuning fork is 504 Hz. Speed of the sound at the given temperature is 336 m s$$^{-1}$$. The zero of the meter scale coincides with the top end of the resonance column tube. The reading of the water level in the column when the first resonance occurs is:
