WBJEE  Physics (Category  1) Model Test
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Question 1 
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/s^{2}. 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 2 
The quantities ε_{0} and μ_{0} denote the freespace permitivity and freespace 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 / ε_{0}) x (μ_{0} / B) 
B  E / B 
C  √ μ_{0}ε_{0} (E / B) 
D  μ_{0}ε_{0} (B / E)^{2} 
Question 3 
At given instant of time, two radioactive elements P and Q have the same number of atoms. It is also known that the meanlife time of P is the same as the halflife 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 4 
In hydrogen spectrum, the longest wavelength in the UU series is 122×109 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 5 
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 6 
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 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 
A nonconducting 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/r^{2} 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 9 
If E = energy, G = gravitational constant, I = impulse and M = mass,the dimension of (GIM^{2})/E^{2} are same as that of
A  mass 
B  length 
C  time 
D  force 
Question 10 
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 
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