MHT CET 2020 19TH OCTOBER EVENING SHIFT
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The order and degree of the differential equation $\left[1+\frac{1}{\left(\frac{d y}{d x}\right)^2}\right]^{\frac{5}{3}}=5 \frac{d^2 y}{d x^2}$ are respectively
What is the unit of viscosity?
A 10 m long wire of resistance $20 \Omega$ is connected in series with a battery of emf 3 V and a resistance of $10 \Omega$. The potential gradient along the wire in $\mathrm{V} / \mathrm{m}$ is
If $X$ is a.r.v. with c.d.f $F(x)$ and its probability distribution is given by
| $X=x$ | $-1.5$ | $-0.5$ | 0.5 | 1.5 | 2.5 |
|---|---|---|---|---|---|
| $P(X=x)$ | 0.05 | 0.2 | 0.15 | 0.25 | 0.35 |
then, $F(1.5)-F(-0.5)=$
For the reaction,
$$\mathrm{N}_2(g)+3 \mathrm{H}_2(g) \longrightarrow 2 \mathrm{NH}_3(g) ; \Delta H$$
is equal to
A child starts running from rest along a circular track of radius $r$ with constant tangential acceleration a. After time $t$ he feels that slipping of shoes on the ground has started. The coefficient of friction between shoes and the ground is
[g = acceleration due to gravity]