MHT CET Mock Test - 2 - JEE MCQ

A perfectly rigid body is defined as one that maintains its shape and size regardless of the forces applied to it. In simpler terms, when a force is exerted on such a body, it does not deform or change its dimensions.

• Rigid bodies do not react to external forces by changing their form.
• For example, a solid metal ball remains the same size and shape when pushed or pulled.
• This characteristic is fundamental in physics, especially when studying mechanics.

Thus, the defining property of a perfectly rigid body is that its shape and size do not change when a force is applied.

The correct answer would be option B. Applying a very strong magnetic field.
Applying a very strong magnetic field to a metal we don’t know the electron emission.

Explanation:The depletion region, also called depletion layer, depletion zone, junction region, space charge region or space charge layer, is an insulating region within a conductive, doped semiconductor material where the mobile charge carriers have been diffused away, or have been forced away by an electric field. The only elements left in the depletion region are ionized donor or acceptor impurities.The depletion region is so named because it is formed from a conducting region by removal of all free charge carriers, leaving none to carry a current.

According to recent researches the magnetic field of earth is considered due to a large bar magnet situated in earth's core.
It is considered that the north pole of this large magnet is situated at the geographical south of earth and vice versa and as the magnetic field due to a bar magnet is from north pole to south pole of the maget thus the earth's magnetic field is considered from geographical south to geographical north which are respectively north and south poles of the bar magnet.

e = NBAω = 20 x 3 x 10^-2 x (3.14 x 0.08 x 0.08) x 50 = 0.603C

average power loss due to joule heating

In a convex lens,  (1/v)−(1/u)=(1/f)​
Or (1/v)​−(1/f)​=(1/u)​ where u is always negative and f is always positive.
(1/v)​=(1/f)​−(1/u)​
So, as u is increased 1/u will decrease and  (1/f)​−(1/u)​  will increase, so, 1/v​ increases or v decreases.
So, its graph will be a hyperbola

B=B₀+Bm
= μ₀nI+ μmnI
=nI(μ+ μm)
=60x5(5000μ₀+ μ₀)
B=300(5001μ₀)
B=1.88T
H=B/μm
=300x5001μ₀/5000μ
=300AT

In series connection of cells total internal resistance=nr total resistance of circuit=nR current is same potential difference is different so,I=nv/nR+nr I=V/R+r current is same as before in parallel connection of cells total internal resistance=r/n total resistance of circuit=R/n total current=nI potential difference is same nI=V/r/n+R/n I=V/R+r current is same as before.

At the highest point of its flight, the vertical component of velocity is zero and the only horizontal component is left which is u_x = u cosθ
Given θ = 45⁰

For 1st order reaction half life is independent of initial concentration of reactant.

Molarity is defined as no. of moles of solute present per litre of solution.

Attractive forces tend to bring two atoms close to each other whereas repulsive forces tend to move them away. In hydrogen, the magnitude of the new attractive forces is greater than that of new repulsive forces. As a result, two atoms come close to each other and potential energy decreases. The atoms approach each other until the equilibrium stage is reached where the net force of attraction balances the force of repulsion and system acquires minimum energy. 

12.5% w/w means 12.5 g in 100 g of solution.

Weight of solvent = 100 g – 12.5 g = 87.5 g.
Number of moles of sulphuric acid = 12.5/ 98 = 0.127 mol

⇒ molality = 0.127 x 1000/87.5 = 1.45 m

X is a primary, chiral alcohol.

Rate law states that rate of reaction is dependent on concentration of reactant raise to power order of reaction.

Required area :

let the center of the circle be (h,k) and since it touches the y-axis
Therefore, its radius will be h it touches the circle x²+y²−6x−6y+14=0 externally
Therefore, C₁C₂ = r₁ + r₂
⇒ [(h-3)² + (k-3)²]^½ = h+2
⇒ k²−10h−6k+14=0
⇒ y²−10x−6y+14=0

On comparing the given equations with: 
, we get: 

 ∫(0 to 4)3x dx
= [3x²/2] (0 to 4)
[3(4)²] / 2
= 24 sq unit

There are 3 girls and 5 boys
∴ Total number of boys and girls = 8
n(s) = Total number of ways of choosing 3 persons

Let E be the event that there are more girls than boys.
⇒ (2 girls & 1 boy) or (3 girls & 0 boy)

Using trigonometric identities, we have
cos²x=cos²x-sin²x  -(1) and cos²x+sin²x =1 -(2)
cos²x=1-sin²x , substituting this in equation (1) we get 
cos²x=1-sin²x-sin²x=1-2sin²x
So,cos²x=1-2sin²x
2sin²x=1-cos²x


 

In the case of strictly decreasing functions, the slope of the tangent line is always negative. This implies that the derivative of a strictly decreasing function is always negative. The derivative represents the rate of change of the function, and if the function is strictly decreasing, the rate of change is negative.