WBJEE - Physics (Category - 1) Model Test
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Question 1 |
In hydrogen spectrum, the longest wavelength in the U-U series is 122×10-9 meter. This corresponds to a transition of electron from the level
A | n = 2 to n = 1 |
B | n = 3 to n = 2 |
C | n = 4 to n = 3 |
D | n = 3 to n = 1 |
Question 2 |
The electrostatic potential energy between proton and electron separated by 1A is
A | -14.4 eV
|
B | -13.6 eV |
C | -27.2 eV |
D | -1.44 eV |
Question 3 |
The quantities ε0 and μ0 denote the free-space permitivity and free-space permeability respectively. If E and B respectively denote the electric and magnetic fields, then which of the following has the dimension of velocity?
A | (E / ε0) x (μ0 / B) |
B | E / B |
C | √ μ0ε0 (E / B) |
D | μ0ε0 (B / E)2 |
Question 4 |
Two soap bubbles have radii in the ratio 2:1. What is the ratio of the excess pressure inside them?
A | 2:1
|
B | 1:2 |
C | 1:4 |
D | 4:1 |
Question 5 |
At given instant of time, two radioactive elements P and Q have the same number of atoms. It is also known that the mean-life time of P is the same as the half-life time of Q . Then which of the following is correct ?
A | The decay rate of P is larger than that of Q
|
B | The decay rate of Q is larger than that of P |
C | The decay constant of P is less than that of Q |
D | The decay rate of P and Q will be same initially |
Question 6 |
A non-conducting solid sphere of radius R is uniformly charged. At a distance r from the centre of the sphere the electric field (magnitude) due to the spherical charge distribution
A | E ∝ r for r < R (inside sphere)
|
B | E ∝ 1/r2 for 0 < r < ∞ (everywhere except centre) |
C | E ∝ 1/r for R < r < ∞ (outside sphere) |
D | E= 0 at r = R (at the surface) |
Question 7 |
A car moving at a speed of 20 km/hr stops by applying brakes after travelling 5m. If the same car is moving at 40 km/hr, the stopping distance after applying brakes will be
A | 10m |
B | 20m |
C | 5m |
D | 1m |
Question 8 |
The second overtone of an open pipe is in resonance with the first overtone of a closed pipe of length 2m. Length of the open pipe is
A | 1m |
B | 2m |
C | 4m |
D | 8m |
Question 9 |
An object is moving away from a vertical concave mirror of focal length 25 m. When the distance of the object is 100 m, the velocity of the object is 5 m/s and it accelerates at the rate of 2 m/s2. The distance of the object from the image after 5 sec is
A | 300 m |
B | 120 m |
C | 150 m |
D | 90 m |
Question 10 |
If E = energy, G = gravitational constant, I = impulse and M = mass,the dimension of (GIM2)/E2 are same as that of
A | mass |
B | length |
C | time |
D | force |
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